
Time bar (total: 14.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 6 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 7 |
| 16.7% | 15.6% | 78% | 0.1% | 0% | 6.2% | 0% | 8 |
| 25% | 23.4% | 70.2% | 0.1% | 0% | 6.2% | 0% | 9 |
| 29.7% | 26.9% | 63.6% | 0.1% | 0% | 9.4% | 0% | 10 |
| 30.8% | 26.9% | 60.5% | 0.1% | 0% | 12.5% | 0% | 11 |
| 35.9% | 31.4% | 56% | 0.1% | 0% | 12.5% | 0% | 12 |
Compiled 29 to 22 computations (24.1% saved)
| 1.9s | 8 256× | 0 | valid |
| 57.0ms | 313× | 0 | invalid |
ival-div: 491.0ms (28.9% of total)ival-sin: 248.0ms (14.6% of total)ival-mult: 247.0ms (14.6% of total)ival-tan: 247.0ms (14.6% of total)ival-pow: 209.0ms (12.3% of total)ival-add: 152.0ms (9% of total)ival-neg: 82.0ms (4.8% of total)exact: 10.0ms (0.6% of total)ival-true: 7.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 82 | 0 | - | 0 | - | (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 34 | 0 | - | 0 | - | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 F F) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
| 0 | 0 | - | 0 | - | (*.f64 F F) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | F |
| 0 | 0 | - | 0 | - | (tan.f64 B) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | (/.f64 F (sin.f64 B)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | B |
| 0 | 0 | - | 0 | - | (sin.f64 B) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) | oflow-rescue | 82 | 0 |
| ↳ | (*.f64 F F) | overflow | 82 | |
| ↳ | (+.f64 (*.f64 F F) #s(literal 2 binary64)) | overflow | 82 | |
| ↳ | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | overflow | 82 | |
*.f64 | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) | n*o | 34 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 0 |
| - | 30 | 168 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 0 |
| - | 30 | 0 | 168 |
| number | freq |
|---|---|
| 0 | 168 |
| 1 | 60 |
| 2 | 28 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 139.0ms | 512× | 0 | valid |
Compiled 382 to 84 computations (78% saved)
ival-div: 13.0ms (17.2% of total)ival-mult: 13.0ms (17.2% of total)ival-tan: 13.0ms (17.2% of total)ival-sin: 12.0ms (15.9% of total)ival-pow: 12.0ms (15.9% of total)ival-add: 7.0ms (9.3% of total)ival-neg: 5.0ms (6.6% of total)ival-true: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 229 |
| 1 | 209 | 195 |
| 2 | 538 | 191 |
| 3 | 1198 | 191 |
| 4 | 2842 | 191 |
| 5 | 4624 | 191 |
| 6 | 5184 | 191 |
| 7 | 5475 | 191 |
| 8 | 5587 | 191 |
| 9 | 5595 | 191 |
| 10 | 5601 | 191 |
| 11 | 5929 | 191 |
| 12 | 6065 | 191 |
| 13 | 6065 | 191 |
| 14 | 6065 | 191 |
| 15 | 6065 | 191 |
| 0 | 20 | 24 |
| 0 | 37 | 24 |
| 1 | 58 | 21 |
| 2 | 98 | 21 |
| 3 | 150 | 21 |
| 4 | 210 | 21 |
| 5 | 314 | 21 |
| 6 | 469 | 21 |
| 7 | 919 | 21 |
| 8 | 1174 | 21 |
| 9 | 1273 | 21 |
| 10 | 1440 | 21 |
| 11 | 1570 | 21 |
| 12 | 1604 | 21 |
| 0 | 1604 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(negabs B)
Compiled 27 to 20 computations (25.9% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
Compiled 27 to 20 computations (25.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 128 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) | |
| cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 103 |
| 0 | 37 | 103 |
| 1 | 58 | 96 |
| 2 | 98 | 96 |
| 3 | 150 | 96 |
| 4 | 210 | 96 |
| 5 | 314 | 96 |
| 6 | 469 | 96 |
| 7 | 919 | 96 |
| 8 | 1174 | 96 |
| 9 | 1273 | 96 |
| 10 | 1440 | 96 |
| 11 | 1570 | 96 |
| 12 | 1604 | 96 |
| 0 | 1604 | 87 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 F F) #s(literal 2 binary64)) |
(*.f64 F F) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(+.f64 (*.f64 F F) #s(literal 2 binary64)) |
(fma.f64 F F #s(literal 2 binary64)) |
(*.f64 F F) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15234375 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.2421875 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 8.195156657932245 | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) | |
| accuracy | 19.17648544878242 | (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 100.0ms | 256× | 0 | valid |
Compiled 236 to 42 computations (82.2% saved)
ival-mult: 54.0ms (63.1% of total)ival-sin: 8.0ms (9.3% of total)ival-tan: 6.0ms (7% of total)ival-pow: 6.0ms (7% of total)ival-div: 5.0ms (5.8% of total)ival-add: 4.0ms (4.7% of total)ival-neg: 2.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (* x (cos B)) (sin B)) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ 2 (pow F 2)) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | F | @ | inf | ((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 7.0ms | x | @ | inf | ((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 4.0ms | x | @ | -inf | ((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 4.0ms | B | @ | inf | ((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 3.0ms | x | @ | 0 | ((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 3513 |
| 1 | 1484 | 3321 |
| 2 | 5396 | 3259 |
| 0 | 8593 | 2966 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (* x (cos B)) (sin B)) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ 2 (pow F 2)) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (pow.f64 F #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))))) (*.f64 F F))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 B) F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) F)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 B) F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 F #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))) |
(pow F 2) |
(*.f64 F F) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 F F)) |
(/ 1 F) |
(/.f64 #s(literal 1 binary64) F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal -1/2 binary64) F) #s(literal 1 binary64)) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) F)) #s(literal -1/2 binary64) #s(literal 1 binary64)) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) F) (/.f64 #s(literal 2 binary64) F) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 F #s(literal 6 binary64))))) #s(literal 1 binary64)) F) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 B) F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
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(fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sin.f64 B)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) (sin.f64 B)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 71 |
| 0 | 37 | 67 |
| 1 | 122 | 66 |
| 2 | 789 | 66 |
| 0 | 8345 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 B) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 x (pow.f64 (cos.f64 B) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (tan.f64 B))) |
(*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) x) |
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64))) |
(*.f64 x (pow.f64 (tan.f64 B) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (neg.f64 x)) (tan.f64 B)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (/.f64 x (tan.f64 B))) |
(/.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) |
(/.f64 x (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))) (fma.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (tan.f64 B) (tan.f64 B)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (tan.f64 B) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64))) |
Compiled 18 576 to 1 937 computations (89.6% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 435 | 22 | 457 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 436 | 22 | 458 |
| Status | Accuracy | Program |
|---|---|---|
| 77.4% | (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (*.f64 (cos.f64 B) (neg.f64 x)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))) | |
| ▶ | 83.1% | (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
| 77.4% | (fma.f64 (*.f64 (neg.f64 x) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (cos.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))) | |
| 83.0% | (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 72.3% | (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 78.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) | |
| 78.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) | |
| 82.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))) | |
| 77.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) | |
| 50.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| ▶ | 77.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
| 57.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 53.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 61.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) | |
| ▶ | 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) |
| ▶ | 40.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
| 40.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B)) | |
| 40.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B)) | |
| ▶ | 41.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
| 57.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) | |
| 30.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 54.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
Compiled 1 634 to 1 112 computations (31.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (cos.f64 B)) | |
| cost-diff | 0 | (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) | |
| cost-diff | 192 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| cost-diff | 0 | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) | |
| cost-diff | 128 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| cost-diff | 320 | (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) | |
| cost-diff | 448 | (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B)) | |
| cost-diff | 7488 | (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 897 |
| 0 | 137 | 889 |
| 1 | 238 | 875 |
| 2 | 441 | 857 |
| 3 | 1270 | 852 |
| 4 | 3982 | 843 |
| 5 | 7750 | 843 |
| 0 | 8737 | 815 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
x |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal -1/2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(neg.f64 x) |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B) |
(fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) |
(fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) |
(fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) |
#s(literal 1/45 binary64) |
(fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B)))) |
(*.f64 (*.f64 x #s(literal 2/945 binary64)) B) |
(*.f64 x #s(literal 2/945 binary64)) |
#s(literal 2/945 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))) |
(-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B)) |
(*.f64 #s(literal 7/360 binary64) F) |
#s(literal 7/360 binary64) |
(*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B) |
(*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) |
(*.f64 F #s(literal -31/15120 binary64)) |
#s(literal -31/15120 binary64) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(neg.f64 x) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) |
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(neg.f64 (cos.f64 B)) |
(cos.f64 B) |
B |
(/.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 F (sin.f64 B)) |
F |
| Outputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B))) |
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
x |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal -1/2 binary64) |
(sin.f64 B) |
B |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(neg.f64 x) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(neg.f64 x) |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 2/945 binary64) B) B #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 (*.f64 (*.f64 B F) B) (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F))) x)) B)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 2/945 binary64) B) B #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 (*.f64 (*.f64 B F) B) (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F))) x)) B) |
(fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 2/945 binary64) B) B #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 (*.f64 (*.f64 B F) B) (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F))) x)) |
(fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) |
(fma.f64 (pow.f64 B #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 2/945 binary64) B) B #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/945 binary64) B) B #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2/945 binary64) B) B #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
#s(literal 1/45 binary64) |
(fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B)))) |
(fma.f64 (*.f64 (*.f64 B x) B) #s(literal 2/945 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(*.f64 (*.f64 x #s(literal 2/945 binary64)) B) |
(*.f64 (*.f64 #s(literal 2/945 binary64) x) B) |
(*.f64 x #s(literal 2/945 binary64)) |
(*.f64 #s(literal 2/945 binary64) x) |
#s(literal 2/945 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))) |
(*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B)) |
(*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) |
(*.f64 #s(literal 7/360 binary64) F) |
#s(literal 7/360 binary64) |
(*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B) |
(*.f64 (*.f64 (*.f64 #s(literal -31/15120 binary64) F) B) B) |
(*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) |
(*.f64 (*.f64 #s(literal -31/15120 binary64) F) B) |
(*.f64 F #s(literal -31/15120 binary64)) |
(*.f64 #s(literal -31/15120 binary64) F) |
#s(literal -31/15120 binary64) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(neg.f64 x) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 F (sin.f64 B))))) |
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 F (sin.f64 B)))) |
(neg.f64 (cos.f64 B)) |
(cos.f64 B) |
B |
(/.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 F (sin.f64 B))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 F (sin.f64 B)) |
F |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (/.f64 F (sin.f64 B)) | |
| accuracy | 0.5507771216604116 | (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| accuracy | 1.2769499685961803 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) | |
| accuracy | 24.06753621805599 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) | |
| accuracy | 0.5173176545907385 | (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) | |
| accuracy | 7.055238085195575 | (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) | |
| accuracy | 11.412361643595887 | #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 14.955608765649622 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 2.945306307490618 | (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) | |
| accuracy | 4.39662195562003 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))) | |
| accuracy | 14.982952515649622 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 30.008704162628078 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| accuracy | 0.109375 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) | |
| accuracy | 0.5055989045907385 | (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) | |
| accuracy | 14.982952515649622 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 29.590419344132403 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| accuracy | 0.14453125 | (/.f64 (neg.f64 x) (tan.f64 B)) | |
| accuracy | 0.3046875 | (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) | |
| accuracy | 15.660861498060521 | (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
| 195.0ms | 235× | 0 | valid |
| 17.0ms | 21× | 0 | invalid |
Compiled 1 797 to 158 computations (91.2% saved)
ival-mult: 37.0ms (25% of total)const: 23.0ms (15.6% of total)ival-div: 21.0ms (14.2% of total)ival-add: 18.0ms (12.2% of total)ival-pow: 16.0ms (10.8% of total)ival-cos: 8.0ms (5.4% of total)ival-sin: 7.0ms (4.7% of total)ival-tan: 5.0ms (3.4% of total)ival-sqrt: 5.0ms (3.4% of total)ival-neg: 5.0ms (3.4% of total)ival-sub: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) |
(-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B)) |
(fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) |
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(neg.f64 (cos.f64 B)) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(/.f64 F (sin.f64 B)) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 3/8 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(* F (- 7/360 (* -31/15120 (pow B 2)))) |
(+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* (* F (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* F (+ (* -1/2 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))))))) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* F (+ (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))) (* (pow F 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))) (- 7/360 (* -31/15120 (pow B 2))))) (* 3/8 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (+ 2 (* 2 x))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(* (* F (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))))) |
(* F (+ (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))) (* (pow F 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))) (- 7/360 (* -31/15120 (pow B 2))))) (* 3/8 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))) (* (pow F 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))) (- 7/360 (* -31/15120 (pow B 2))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))) (- 7/360 (* -31/15120 (pow B 2))))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow F 2))) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(/ F (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 (* F (sin B))) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(- (+ 1 (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 4))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 6))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))))))))) x) |
(- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 4))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 6))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) (* -31/15120 (pow B 2))) |
(* F (+ (* -1 (/ (* x (cos B)) (* F (sin B)))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(- 7/360 (* -31/15120 (pow B 2))) |
(- (+ 7/360 (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2)))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 4))))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 4))) (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 6)))))) (* -31/15120 (pow B 2))) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(/ -1 (* F (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)))) (pow F 6))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))))) x) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2)))))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))))))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6)))))))) |
(* -1 (* F (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (/ (* x (cos B)) (* F (sin B)))))) |
(* -1 (+ 7/360 (* 31/15120 (pow B 2)))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2)))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6)))))) |
(* -1 (/ (- 1 (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x))))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x)))))))))) x) |
(* 7/360 F) |
(+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)) |
(+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) |
(+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))))) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B) |
-1 |
(- (* 1/2 (pow B 2)) 1) |
(- (* (pow B 2) (+ 1/2 (* -1/24 (pow B 2)))) 1) |
(- (* (pow B 2) (+ 1/2 (* (pow B 2) (- (* 1/720 (pow B 2)) 1/24)))) 1) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B) |
(* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* 31/15120 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (* 2 x))))))))))) B) |
(/ F B) |
(/ (+ F (* 1/6 (* (pow B 2) F))) B) |
(/ (+ F (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B) |
(/ (+ F (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 6) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(* 31/15120 (* (pow B 2) F)) |
(* (pow B 2) (- (* 7/360 (/ F (pow B 2))) (* -31/15120 F))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(* -1 (cos B)) |
(* 31/15120 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ 2 (pow F 2)) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2)))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 3/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 3/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/2 (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (+ (* 2/945 (pow B 2)) (* 3/2 (* (* x (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (+ (* 2/945 (pow B 2)) (* x (+ (* -5/2 (* (* x (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
(/ (* F (sqrt 1/2)) (sin B)) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (* -1/4 (/ F (* (sin B) (sqrt 1/2)))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (* x (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2))))))) (/ (* F (sqrt 1/2)) (sin B))) |
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(/ 1 (+ 2 (pow F 2))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
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(+ (* -1 (* (* x (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
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(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* -1/4 (/ (* F x) (* (sin B) (sqrt 1/2)))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (* x (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2)))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* x (+ (* -1/2 (/ (* F (* x (+ 1/2 (* -1/4 (/ (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2)))))))) (/ (* F (sqrt 1/2)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
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(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
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(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))))) 1)) |
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(* x (+ 1/45 (* 2/945 (pow B 2)))) |
(* x (+ 1/45 (+ (* 2/945 (pow B 2)) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
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(* x (+ 1/45 (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 2/945 (pow B 2)) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x) |
(* x (+ (* -1 (/ (cos B) (sin B))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))))) |
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ 1/2 (* 1/16 (/ x (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* -1 (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x)))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x)))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x))) (* -1/16 (* (/ (* (pow B 4) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (- (* -2/945 (pow B 2)) 1/45))) |
(* -1 (* x (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))) (* -2/945 (pow B 2))) 1/45))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))) x)) (* -2/945 (pow B 2))) 1/45))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) x)) (* -2/945 (pow B 2))) 1/45))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ 1/2 (* -1/16 (/ x (pow (sqrt -1/2) 2)))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | inf | ((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (- (* 7/360 F) (* (* (* F -31/15120) B) B)) (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2)) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B))) |
| 19.0ms | B | @ | 0 | ((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (- (* 7/360 F) (* (* (* F -31/15120) B) B)) (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2)) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B))) |
| 14.0ms | x | @ | -inf | ((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (- (* 7/360 F) (* (* (* F -31/15120) B) B)) (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2)) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B))) |
| 12.0ms | F | @ | 0 | ((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (- (* 7/360 F) (* (* (* F -31/15120) B) B)) (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2)) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B))) |
| 9.0ms | F | @ | -inf | ((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (- (* 7/360 F) (* (* (* F -31/15120) B) B)) (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2)) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1768 | 15493 |
| 1 | 5792 | 14747 |
| 0 | 9260 | 13390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 3/8 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(* F (- 7/360 (* -31/15120 (pow B 2)))) |
(+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* (* F (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* F (+ (* -1/2 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))))))) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* F (+ (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))) (* (pow F 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))) (- 7/360 (* -31/15120 (pow B 2))))) (* 3/8 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(/ 1 (+ 2 (* 2 x))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(* (* F (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))))) |
(* F (+ (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))) (* (pow F 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))) (- 7/360 (* -31/15120 (pow B 2))))) (* 3/8 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))) (* (pow F 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))) (- 7/360 (* -31/15120 (pow B 2))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))) (- 7/360 (* -31/15120 (pow B 2))))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow F 2))) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(/ F (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 (* F (sin B))) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F) |
(/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(- (+ 1 (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 4))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 6))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))))))))) x) |
(- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 4))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 6))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) (* -31/15120 (pow B 2))) |
(* F (+ (* -1 (/ (* x (cos B)) (* F (sin B)))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(- 7/360 (* -31/15120 (pow B 2))) |
(- (+ 7/360 (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2)))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 4))))) (* -31/15120 (pow B 2))) |
(- (+ 7/360 (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 4))) (* -1/2 (/ (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- 7/360 (* -31/15120 (pow B 2)))) (pow F 6)))))) (* -31/15120 (pow B 2))) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(/ -1 (* F (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)))) (pow F 6))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))))) x) |
(* F (+ 7/360 (* 31/15120 (pow B 2)))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2)))))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))))))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6)))))))) |
(* -1 (* F (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (/ (* x (cos B)) (* F (sin B)))))) |
(* -1 (+ 7/360 (* 31/15120 (pow B 2)))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2)))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))))) |
(+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6)))))) |
(* -1 (/ (- 1 (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F)) |
(* -1 (/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F)) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x))))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x)))))))))) x) |
(* 7/360 F) |
(+ (* 31/15120 (* (pow B 2) F)) (* 7/360 F)) |
(+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) |
(+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))))) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B) |
-1 |
(- (* 1/2 (pow B 2)) 1) |
(- (* (pow B 2) (+ 1/2 (* -1/24 (pow B 2)))) 1) |
(- (* (pow B 2) (+ 1/2 (* (pow B 2) (- (* 1/720 (pow B 2)) 1/24)))) 1) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B) |
(* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(+ (* 31/15120 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (* 2 x))))))))))) B) |
(/ F B) |
(/ (+ F (* 1/6 (* (pow B 2) F))) B) |
(/ (+ F (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B) |
(/ (+ F (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 6) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(* 31/15120 (* (pow B 2) F)) |
(* (pow B 2) (- (* 7/360 (/ F (pow B 2))) (* -31/15120 F))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(* -1 (cos B)) |
(* 31/15120 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ 2 (pow F 2)) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2)))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 3/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 3/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/2 (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (+ (* 2/945 (pow B 2)) (* 3/2 (* (* x (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* x (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (+ (* 2/945 (pow B 2)) (* x (+ (* -5/2 (* (* x (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
(/ (* F (sqrt 1/2)) (sin B)) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (* -1/4 (/ F (* (sin B) (sqrt 1/2)))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (* x (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2))))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* x (+ (* -1/2 (/ (* F (* x (+ 1/2 (* -1/4 (/ (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2))))))))) (/ (* F (sqrt 1/2)) (sin B))) |
(/ 1 (+ 2 (pow F 2))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* -1 (* (* x (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 3/2 (* (* x (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* -1/4 (/ (* F x) (* (sin B) (sqrt 1/2)))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (* x (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2)))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* x (+ (* -1/2 (/ (* F (* x (+ 1/2 (* -1/4 (/ (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2)))))))) (/ (* F (sqrt 1/2)) (sin B))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (* (sin B) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (* (sin B) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (* (sin B) (sqrt 1/2))))) (* (sqrt (/ 1 x)) (/ (sqrt 1/2) (sin B)))))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(* x (- (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* (pow B 4) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))))))) 1)) |
(* x (+ 1/45 (* 2/945 (pow B 2)))) |
(* x (+ 1/45 (+ (* 2/945 (pow B 2)) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
(* x (+ 1/45 (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 2/945 (pow B 2)) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))))) |
(* x (+ 1/45 (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 2/945 (pow B 2)) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x) |
(* x (+ (* -1 (/ (cos B) (sin B))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))))) |
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ 1/2 (* 1/16 (/ x (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* -1 (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x)))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x)))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x))) (* -1/16 (* (/ (* (pow B 4) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (- (* -2/945 (pow B 2)) 1/45))) |
(* -1 (* x (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))) (* -2/945 (pow B 2))) 1/45))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))) x)) (* -2/945 (pow B 2))) 1/45))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) x)) (* -2/945 (pow B 2))) 1/45))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ 1/2 (* -1/16 (/ x (pow (sqrt -1/2) 2)))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (sin.f64 B)) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (/ x B)) |
(/.f64 (neg.f64 x) B) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (neg.f64 x)) B) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) B)) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) B) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) B)) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) |
(- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
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(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
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(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 3/8 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
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(* F (- 7/360 (* -31/15120 (pow B 2)))) |
(*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) |
(+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)) |
(*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* (* F (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* F (+ (* -1/2 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))))))) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F)) |
(+ (* 2/945 (* (pow B 2) x)) (+ (* 1/45 x) (* F (+ (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))) (* (pow F 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))) (- 7/360 (* -31/15120 (pow B 2))))) (* 3/8 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(/ 1 (+ 2 (* 2 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 F F) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(* (* F (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) |
(* F (+ (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))) (* (pow F 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))) (- 7/360 (* -31/15120 (pow B 2))))) (* 3/8 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 F F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (*.f64 F F) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) |
(* F (+ (* (sqrt (/ 1 (+ 2 (* 2 x)))) (- 7/360 (* -31/15120 (pow B 2)))) (* (pow F 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))) (- 7/360 (* -31/15120 (pow B 2))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))) (- 7/360 (* -31/15120 (pow B 2))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 F F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64))))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (*.f64 F F) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2)))) |
(fma.f64 (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* 1/2 (/ (* (pow F 2) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* (pow F 2) (- (* (pow F 2) (+ (* -1/2 (/ (* (pow F 2) (+ 1/16 (* -1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 5/128 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 F F) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (sin.f64 B)) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow F 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 F F) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 F F) #s(literal 1/8 binary64)) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64)) |
(/ F (sin B)) |
(/.f64 F (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 F #s(literal 4 binary64)) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sin.f64 B)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (sin.f64 B)) (/.f64 #s(literal -3/4 binary64) (pow.f64 F #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 F #s(literal 6 binary64))) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
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(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) |
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(* 7/360 F) |
(*.f64 #s(literal 7/360 binary64) F) |
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(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F) B) |
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(* 31/15120 (* (pow B 2) F)) |
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(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) x) #s(literal 1/16 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64))) (neg.f64 x)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64))))) (pow.f64 x #s(literal 3 binary64)))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ 1/2 (* -1/16 (/ x (pow (sqrt -1/2) 2)))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 551 |
| 0 | 137 | 532 |
| 1 | 531 | 490 |
| 2 | 4324 | 490 |
| 0 | 8773 | 490 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) |
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) |
(-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B)) |
(fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) |
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(neg.f64 (cos.f64 B)) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(/.f64 F (sin.f64 B)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) F)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 F)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (neg.f64 (sin.f64 B)))) |
(/.f64 (*.f64 #s(literal 1 binary64) F) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sin.f64 B))) |
(/.f64 (*.f64 (neg.f64 F) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (sin.f64 B)) |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) |
(/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) F))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 (sin.f64 B) F))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (pow.f64 F #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) F) |
(*.f64 (neg.f64 F) (pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 F (sin.f64 B))) |
(*.f64 F (pow.f64 (sin.f64 B) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (sin.f64 B) F) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 B) F) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 F)) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (*.f64 F #s(literal 1 binary64)) (sin.f64 B)) |
(/.f64 (neg.f64 F) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) F))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) F)) |
(/.f64 F (sin.f64 B)) |
(neg.f64 (/.f64 (neg.f64 F) (sin.f64 B))) |
(neg.f64 (/.f64 F (neg.f64 (sin.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) F)) #s(literal -1 binary64))) |
Compiled 82 091 to 6 219 computations (92.4% saved)
46 alts after pruning (46 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 128 | 42 | 1 170 |
| Fresh | 13 | 4 | 17 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 146 | 46 | 1 192 |
| Status | Accuracy | Program |
|---|---|---|
| 47.4% | (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B))) | |
| 67.6% | (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 54.7% | (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 51.9% | (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 75.4% | (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 (tan.f64 B)) x) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (neg.f64 (tan.f64 B)) x))) | |
| 72.3% | (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| ▶ | 83.0% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
| 77.4% | (+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| 50.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 56.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) | |
| 61.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| ▶ | 57.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
| 53.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 41.3% | #s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 57.7% | #s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) | |
| 30.4% | #s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 54.0% | #s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 47.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B))))) | |
| 34.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 38.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 40.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (*.f64 #s(literal 7/360 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/45 binary64) x))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 40.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 40.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 40.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B)) | |
| 41.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) | |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) | |
| 25.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) | |
| 41.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 27.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))) x)) B)) | |
| ▶ | 27.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
| 22.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) | |
| 23.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) | |
| 27.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 28.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) | |
| 19.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal -1 binary64)) x)) B)) | |
| 15.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) | |
| ▶ | 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
| 41.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B)))) | |
| 41.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) | |
| 22.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) | |
| 23.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) | |
| 15.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) | |
| 27.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B))) | |
| ▶ | 18.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
Compiled 5 382 to 3 344 computations (37.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| cost-diff | 0 | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) | |
| cost-diff | 128 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)) | |
| cost-diff | 0 | #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 710 |
| 0 | 129 | 679 |
| 1 | 233 | 663 |
| 2 | 466 | 648 |
| 3 | 1426 | 644 |
| 4 | 4568 | 626 |
| 5 | 7791 | 623 |
| 0 | 8388 | 611 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
F |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
B |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
(/.f64 x (tan.f64 B)) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) |
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) |
(neg.f64 x) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
(/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B) |
#s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) |
#s(literal 2/945 binary64) |
(*.f64 B B) |
B |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
x |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
F |
(sin.f64 B) |
B |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
F |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) |
(sin.f64 B) |
B |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
(/.f64 x (tan.f64 B)) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) |
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) |
(neg.f64 x) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
(/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B) |
(/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B) |
#s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) |
#s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) |
(fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) |
#s(literal 2/945 binary64) |
(*.f64 B B) |
B |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
x |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B))))) |
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))) |
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
F |
(sin.f64 B) |
B |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| accuracy | 0.140625 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.2265625 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 42.9502187281893 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| accuracy | 0.24609375 | (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)) | |
| accuracy | 0.421875 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) | |
| accuracy | 24.06753621805599 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) | |
| accuracy | 27.54911984002268 | #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))) | |
| accuracy | 0.9562640060028211 | (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B) | |
| accuracy | 1.201776541159526 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x) | |
| accuracy | 24.260305603582115 | #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) | |
| accuracy | 30.008704162628078 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.03515625 | (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) | |
| accuracy | 29.108325280532156 | #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) | |
| accuracy | 29.590419344132403 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) | |
| accuracy | 0.14453125 | (/.f64 x (tan.f64 B)) | |
| accuracy | 0.2265625 | (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 0.28125 | (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) | |
| accuracy | 15.660381089563518 | (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
| 299.0ms | 235× | 0 | valid |
| 14.0ms | 21× | 0 | invalid |
Compiled 1 270 to 188 computations (85.2% saved)
ival-div: 90.0ms (33.4% of total)ival-mult: 84.0ms (31.2% of total)ival-neg: 22.0ms (8.2% of total)ival-add: 19.0ms (7.1% of total)const: 19.0ms (7.1% of total)ival-sin: 7.0ms (2.6% of total)ival-sqrt: 7.0ms (2.6% of total)ival-cos: 6.0ms (2.2% of total)ival-pow: 6.0ms (2.2% of total)ival-tan: 5.0ms (1.9% of total)ival-sub: 2.0ms (0.7% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) |
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
(/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B) |
#s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 x (tan.f64 B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* (sin B) (sqrt (+ 2 (* 2 x)))) |
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (+ 2 (* 2 x))) |
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) B) |
(- (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* F (+ (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) (/ x B)) |
(- (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* F (+ (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))))))) (/ x B)) |
(- (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* F (+ (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 3/8 (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))))) (/ x B)) |
(- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 3/8 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/ (* F (sqrt 1/2)) (sin B)) |
(* F (sqrt 1/2)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* F (sin B)) |
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
F |
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(/ (- (+ 1 (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))) x) B) |
(- (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (pow B 3) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* 1/6 B) (+ (* B (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))) (/ 1 B))))) (/ x B)) |
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(* F (+ (* -1 (/ (* x (cos B)) (* F (sin B)))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (* F (sin B))) |
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))) |
(* -1 F) |
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(/ (- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) x) B) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) B)) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (* B (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) B)) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (* B (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) B)) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)))) (pow F 6))) (* B (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))))) (/ x B)) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)))) (pow F 6))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))))) x) |
(* -1 (* F (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (/ (* x (cos B)) (* F (sin B)))))) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x)))))))))) x) B) |
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x))))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x)))))))))) x) |
(+ (* -1 x) (* 1/3 (* (pow B 2) x))) |
(+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) |
(+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B) |
(/ (* F (sqrt 1/2)) B) |
(/ (+ (* 1/6 (* (pow B 2) (* F (sqrt 1/2)))) (* F (sqrt 1/2))) B) |
(/ (+ (* F (sqrt 1/2)) (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 (* F (sqrt 1/2))) (* 1/120 (* F (sqrt 1/2)))))) (* -1/6 (* F (sqrt 1/2)))))) B) |
(/ (+ (* F (sqrt 1/2)) (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 (* F (sqrt 1/2))) (+ (* 1/720 (* F (sqrt 1/2))) (* 1/6 (+ (* -1/36 (* F (sqrt 1/2))) (* 1/120 (* F (sqrt 1/2))))))))) (+ (* -1/36 (* F (sqrt 1/2))) (* 1/120 (* F (sqrt 1/2)))))) (* -1/6 (* F (sqrt 1/2)))))) B) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(sin B) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 5) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 6) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(* 2/945 (* (pow B 6) x)) |
(* (pow B 6) (+ (* 2/945 x) (* 1/45 (/ x (pow B 2))))) |
(* (pow B 6) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4)))))) |
(* (pow B 6) (+ (* -1 (/ x (pow B 6))) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4))))))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* -1 (* (pow B 5) (+ (* -1 (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) (* -1 (/ (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) (pow B 2)))))) |
(* -1 (* (pow B 5) (+ (* -1 (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) (+ (* -1 (/ (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) (pow B 2))) (* -1 (/ (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)) (pow B 4))))))) |
(* -1 (* (pow B 5) (+ (* -1 (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) (+ (* -1 (/ (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) (pow B 2))) (+ (* -1 (/ (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)) (pow B 4))) (* -1 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) (pow B 6)))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (sin B) (sqrt (+ 2 (pow F 2)))) |
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(sqrt (+ 2 (pow F 2))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(/ (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2)))))) B) |
(+ (* x (- (+ (* -1 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* B (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2)))))))) (/ 1 B))) (+ (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))) (* x (+ (* 3/2 (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (/ 1 B))) (+ (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))) (* x (+ (* 3/2 (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/2 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))))) (/ 1 B))) (+ (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2)))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 3/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 3/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/2 (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (* -1/4 (/ F (* (sin B) (sqrt 1/2)))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (* x (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2))))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* x (+ (* -1/2 (/ (* F (* x (+ 1/2 (* -1/4 (/ (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2))))))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt x) (* (sin B) (sqrt 2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))))) |
(* (sqrt x) (sqrt 2)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B) |
(* x (- (+ (* B (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) (+ (* (* (pow B 3) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (/ (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 3) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* B (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) (+ (* (* (pow B 3) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (/ (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) B) (sqrt (/ 1 (pow x 3)))))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 3) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* (pow B 3) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* B (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) (+ (* (* (pow B 3) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (/ (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) B) (sqrt (/ 1 (pow x 3)))))))))) (/ 1 B))) |
(* x (- (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* (pow B 4) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* (* F (* (sqrt 1/2) (+ 1 (* 1/6 (pow B 2))))) (sqrt (/ 1 (pow x 3)))) (+ (* (* (pow B 4) (* (sqrt 1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (sqrt (/ 1 (pow x 3)))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))))))))) 1)) |
(* x (+ (* -1 (/ (cos B) (sin B))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* -1 (/ (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* (* (pow B 3) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))) (* (/ (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) B) (sqrt (/ 1 x)))) x)) (+ (* B (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 3) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* (pow B 3) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))) (* (/ (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) B) (sqrt (/ 1 x)))))) x)) (+ (* B (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (* B (sqrt -1/2))) (sqrt x))) (* -1/16 (* (/ (* (pow B 3) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 3) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* (pow B 3) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))) (* (/ (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) B) (sqrt (/ 1 x))))))) x)) (+ (* B (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x)))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x)))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x))) (* -1/16 (* (/ (* (pow B 4) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 74.0ms | x | @ | inf | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) B) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ (* (sqrt 1/2) F) (sin B)) (* (sqrt 1/2) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 72.0ms | F | @ | 0 | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) B) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ (* (sqrt 1/2) F) (sin B)) (* (sqrt 1/2) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 65.0ms | B | @ | inf | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) B) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ (* (sqrt 1/2) F) (sin B)) (* (sqrt 1/2) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 10.0ms | x | @ | 0 | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) B) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ (* (sqrt 1/2) F) (sin B)) (* (sqrt 1/2) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 8.0ms | x | @ | -inf | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) B) (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ (* (sqrt 1/2) F) (sin B)) (* (sqrt 1/2) F) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (sin B))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1638 | 13572 |
| 1 | 5628 | 12848 |
| 0 | 8591 | 11597 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* (sin B) (sqrt (+ 2 (* 2 x)))) |
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (+ 2 (* 2 x))) |
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
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(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
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(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
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(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) B) |
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(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/ (* F (sqrt 1/2)) (sin B)) |
(* F (sqrt 1/2)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
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(* F (sin B)) |
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
F |
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(/ (- (+ 1 (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))) x) B) |
(- (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (pow B 3) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* 1/6 B) (+ (* B (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))) (/ 1 B))))) (/ x B)) |
(- (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* -1/2 (/ (* (pow B 3) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 3) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 4))) (+ (* 1/6 B) (+ (* B (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))) (/ 1 B))))))) (/ x B)) |
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(- (+ 1 (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 4))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))))))) x) |
(- (+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* -1/2 (/ (* (pow B 4) (* (+ 2 (* 2 x)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 2))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 4))) (+ (* -1/2 (/ (* (pow B 4) (* (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (- 7/360 (* -31/15120 (pow B 2))))) (pow F 6))) (+ (* 1/6 (pow B 2)) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (- (+ 7/360 (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) (* -31/15120 (pow B 2)))))))))))))) x) |
(* F (+ (* -1 (/ (* x (cos B)) (* F (sin B)))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (* F (sin B))) |
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))) |
(* -1 F) |
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(/ (- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) x) B) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) B)) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (* B (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) B)) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (* B (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) B)) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (* B (pow F 4)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (* B (pow F 6)))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 3) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)))) (pow F 6))) (* B (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))))) (/ x B)) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))) x) |
(- (+ (* -1 (+ 1 (* 1/6 (pow B 2)))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x)))) (pow F 2))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow F 4))) (+ (* 1/2 (/ (* (pow B 4) (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)))) (pow F 6))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (+ 7/360 (* 31/15120 (pow B 2)))) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))))))))))) x) |
(* -1 (* F (+ (* -1 (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (/ (* x (cos B)) (* F (sin B)))))) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x)))))))))) x) B) |
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x))))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 x) (* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x)))))))))) x) |
(+ (* -1 x) (* 1/3 (* (pow B 2) x))) |
(+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) |
(+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B) |
(/ (* F (sqrt 1/2)) B) |
(/ (+ (* 1/6 (* (pow B 2) (* F (sqrt 1/2)))) (* F (sqrt 1/2))) B) |
(/ (+ (* F (sqrt 1/2)) (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 (* F (sqrt 1/2))) (* 1/120 (* F (sqrt 1/2)))))) (* -1/6 (* F (sqrt 1/2)))))) B) |
(/ (+ (* F (sqrt 1/2)) (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 (* F (sqrt 1/2))) (+ (* 1/720 (* F (sqrt 1/2))) (* 1/6 (+ (* -1/36 (* F (sqrt 1/2))) (* 1/120 (* F (sqrt 1/2))))))))) (+ (* -1/36 (* F (sqrt 1/2))) (* 1/120 (* F (sqrt 1/2)))))) (* -1/6 (* F (sqrt 1/2)))))) B) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(sin B) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 5) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 5) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2))))))) |
(* (pow B 6) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 (/ x (pow B 4))))))))) |
(* (pow B 6) (- (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/45 (/ x (pow B 2))) (+ (* 1/6 (* (/ F (pow B 4)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 (/ x (pow B 4))) (* (/ F (pow B 6)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (/ x (pow B 6)))) |
(* 2/945 (* (pow B 6) x)) |
(* (pow B 6) (+ (* 2/945 x) (* 1/45 (/ x (pow B 2))))) |
(* (pow B 6) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4)))))) |
(* (pow B 6) (+ (* -1 (/ x (pow B 6))) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4))))))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* -1 (* (pow B 5) (+ (* -1 (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) (* -1 (/ (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) (pow B 2)))))) |
(* -1 (* (pow B 5) (+ (* -1 (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) (+ (* -1 (/ (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) (pow B 2))) (* -1 (/ (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)) (pow B 4))))))) |
(* -1 (* (pow B 5) (+ (* -1 (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x))) (+ (* -1 (/ (+ (* 7/360 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 x)) (pow B 2))) (+ (* -1 (/ (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)) (pow B 4))) (* -1 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) (pow B 6)))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (sin B) (sqrt (+ 2 (pow F 2)))) |
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(sqrt (+ 2 (pow F 2))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
(/ (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2)))))) B) |
(+ (* x (- (+ (* -1 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* B (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2)))))))) (/ 1 B))) (+ (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))) (* x (+ (* 3/2 (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (/ 1 B))) (+ (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* x (- (+ (* -1 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2))))))) (* x (+ (* 3/2 (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/2 (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))))) (/ 1 B))) (+ (* (* (pow B 3) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F))))) (* 2/945 (pow B 2)))))))) 1)) (+ (* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (pow F 2))))) (* (* (pow B 4) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
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(* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (* -1/4 (/ F (* (sin B) (sqrt 1/2)))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (* x (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2))))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (/ F (* (sin B) (sqrt 1/2)))) (* x (+ (* -1/2 (/ (* F (* x (+ 1/2 (* -1/4 (/ (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (* (sin B) (sqrt 1/2)))) (* 1/2 (/ (* F (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2))))))))) (/ (* F (sqrt 1/2)) (sin B))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(* (sqrt x) (* (sin B) (sqrt 2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))) |
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(* (sqrt x) (sqrt 2)) |
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(/ (* x (- (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/45 (* 2/945 (pow B 2)))))) 1)) B) |
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(* x (+ (* -1 (/ (cos B) (sin B))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) |
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(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
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(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* -1 (/ (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* (* (pow B 3) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))) (* (/ (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) B) (sqrt (/ 1 x)))) x)) (+ (* B (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 3) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* (pow B 3) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))) (* (/ (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) B) (sqrt (/ 1 x)))))) x)) (+ (* B (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (* B (sqrt -1/2))) (sqrt x))) (* -1/16 (* (/ (* (pow B 3) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 3) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* (pow B 3) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))) (* (/ (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) B) (sqrt (/ 1 x))))))) x)) (+ (* B (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x)))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x)))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x))) (* -1/16 (* (/ (* (pow B 4) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* (sin B) (sqrt (+ 2 (* 2 x)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sin.f64 B)) |
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 F F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sin.f64 B))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 F F) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sin.f64 B))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 F F) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sin.f64 B))) |
(sqrt (+ 2 (* 2 x))) |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 F F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 F F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(* -1 (/ x B)) |
(/.f64 (neg.f64 x) B) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (neg.f64 x)) B) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) B)) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) B)) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) B) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B) |
(- (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* F (+ (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) (/ x B)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) F (-.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) B) (/.f64 x B))) |
(- (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* F (+ (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))))))) (/ x B)) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) (*.f64 F F))) F (-.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) B) (/.f64 x B))) |
(- (+ (* B (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) (* F (+ (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 3/8 (* (* (pow B 3) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))))) (/ x B)) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) (*.f64 F F))) (*.f64 F F))) F (-.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) B) (/.f64 x B))) |
(- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))) x) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) F (fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (*.f64 F F))) F (fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) |
(- (+ (* F (+ (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x))))) (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 3/8 (* (* (pow B 4) (- 7/360 (* -31/15120 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))))) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))) x) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (*.f64 F F))) (*.f64 F F))) F (fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(/ (* F (sqrt 1/2)) (sin B)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)) |
(* F (sqrt 1/2)) |
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F |
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(* (sqrt x) (sqrt 2)) |
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(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x)))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(*.f64 (neg.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 F (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (pow.f64 B #s(literal 4 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 F (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 B #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) x)) (*.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B)))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x))) (* -1/16 (* (/ (* (pow B 4) (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* (/ (* (pow B 4) (* (sqrt -1) (* (+ 2 (pow F 2)) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* (* F (* (sqrt -1) (* (sqrt -1/2) (+ 1 (* 1/6 (pow B 2)))))) (sqrt (/ 1 x))) (* (* (pow B 4) (* (sqrt -1) (* (sqrt -1/2) (- (* 7/360 F) (* -31/15120 (* (pow B 2) F)))))) (sqrt (/ 1 x))))))) x)) (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))))) |
(*.f64 (neg.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 F (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (pow.f64 B #s(literal 4 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 F (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 B #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) (fma.f64 F (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 F (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (pow.f64 B #s(literal 4 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) x)) (*.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B))) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 635 |
| 0 | 129 | 594 |
| 1 | 558 | 555 |
| 2 | 4754 | 555 |
| 0 | 8237 | 538 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) |
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
(/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B) |
#s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 x (tan.f64 B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 x (tan.f64 B))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -2 binary64))) (pow.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 x (tan.f64 B)) (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 x (tan.f64 B))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 (tan.f64 B) F) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) x))) (pow.f64 (*.f64 (tan.f64 B) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 x (tan.f64 B))) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 x (tan.f64 B))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F))) |
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))) |
(neg.f64 (/.f64 (neg.f64 F) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) |
(neg.f64 (/.f64 F (*.f64 (neg.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (cos.f64 B) x) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (tan.f64 B))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(*.f64 x (pow.f64 (tan.f64 B) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) #s(literal 1 binary64)) (/.f64 (sin.f64 B) x)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) |
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 x (tan.f64 B)) |
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sin.f64 B) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))) |
Compiled 42 775 to 3 043 computations (92.9% saved)
53 alts after pruning (51 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 596 | 32 | 628 |
| Fresh | 22 | 19 | 41 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 621 | 53 | 674 |
| Status | Accuracy | Program |
|---|---|---|
| 47.4% | (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B))) | |
| 54.7% | (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 72.3% | (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 64.3% | (/.f64 (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (tan.f64 B)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) x)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))) | |
| ▶ | 83.0% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
| 52.3% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) | |
| 67.5% | (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F))) B))) (/.f64 x (tan.f64 B))) | |
| 55.1% | (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) | |
| 57.6% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) | |
| ▶ | 53.6% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
| 57.6% | (+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 57.6% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 56.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) | |
| 52.6% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) | |
| 33.8% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 38.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| ▶ | 41.2% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
| 57.7% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) | |
| 30.4% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 54.0% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 47.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B))))) | |
| 38.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 40.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 40.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B)) | |
| ▶ | 41.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) | |
| 25.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) | |
| 41.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) | |
| 27.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) | |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) | |
| 22.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) | |
| 23.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) | |
| 25.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) | |
| 27.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) | |
| ▶ | 28.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
| ✓ | 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) | |
| 52.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B)))) | |
| 22.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) | |
| 20.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) | |
| 15.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) | |
| 27.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B))) | |
| ✓ | 18.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
| 11.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) | |
| 11.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) | |
| 18.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sin.f64 B) F)))) | |
| 18.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 #s(literal 1/2 binary64)))))) | |
| 18.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal 1/2 binary64))))) | |
| 18.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 F (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) | |
| 11.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 7/360 binary64)) (*.f64 B B) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 1/6 binary64))) (*.f64 B B) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) | |
| 11.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) | |
| 11.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
Compiled 5 772 to 3 573 computations (38.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 B)) | |
| cost-diff | 0 | #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) | |
| cost-diff | 128 | (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)) | |
| cost-diff | 1920 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 626 |
| 0 | 111 | 615 |
| 1 | 171 | 609 |
| 2 | 268 | 609 |
| 3 | 543 | 591 |
| 4 | 1182 | 591 |
| 5 | 2571 | 587 |
| 6 | 5404 | 587 |
| 7 | 7877 | 587 |
| 0 | 8033 | 555 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) |
F |
(*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
B |
#s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) |
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) |
(sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
#s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal 2 binary64) |
(neg.f64 x) |
x |
B |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
F |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F))) |
#s(literal 1 binary64) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 2 binary64) |
(*.f64 F F) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 B B) |
B |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x)) |
(neg.f64 x) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
#s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
#s(literal -1 binary64) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) |
(/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
F |
(*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) |
(sin.f64 B) |
B |
#s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) |
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) |
(sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
#s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal 2 binary64) |
(neg.f64 x) |
x |
B |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)) (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (neg.f64 x) B)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)) (fma.f64 (*.f64 #s(literal 1/3 binary64) B) x (/.f64 (neg.f64 x) B))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) F) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
F |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 F F) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 B B) |
B |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) |
(neg.f64 x) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
#s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
#s(literal -1 binary64) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) | |
| accuracy | 0.08984375 | (/.f64 #s(literal -1 binary64) (sin.f64 B)) | |
| accuracy | 0.16796875 | (/.f64 x (tan.f64 B)) | |
| accuracy | 45.915954321193404 | #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) | |
| accuracy | 2.138849798259455 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) | |
| accuracy | 9.117257968800418 | (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B) | |
| accuracy | 18.402736917926045 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) | |
| accuracy | 32.57203838820279 | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) | |
| accuracy | 0.5668020238707094 | (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) | |
| accuracy | 11.759728644399402 | #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 18.402736917926045 | (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 32.51463799668239 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) | |
| accuracy | 0.0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.03515625 | (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) | |
| accuracy | 29.58814602932919 | #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 32.51463799668239 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) | |
| accuracy | 0.234375 | (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 0.296875 | (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) | |
| accuracy | 11.564952001583151 | #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 19.165138928075702 | (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
| 143.0ms | 256× | 0 | valid |
Compiled 1 147 to 132 computations (88.5% saved)
const: 28.0ms (24% of total)ival-mult: 22.0ms (18.8% of total)ival-div: 18.0ms (15.4% of total)ival-add: 14.0ms (12% of total)ival-sqrt: 10.0ms (8.6% of total)ival-sin: 7.0ms (6% of total)ival-tan: 6.0ms (5.1% of total)ival-pow: 6.0ms (5.1% of total)ival-neg: 3.0ms (2.6% of total)ival-sub: 2.0ms (1.7% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
#s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) |
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) |
(sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
#s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B) |
(/.f64 x (tan.f64 B)) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* (sin B) (sqrt (+ 2 (* 2 x)))) |
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (+ 2 (* 2 x))) |
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(- (* 1/3 (* (pow B 2) x)) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (* (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x))))))) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (* (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* -1/48 (* (/ (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))))))))) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (* (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (+ (* -1/48 (* (/ (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (pow F 2) (+ (* 1/12 (* (/ (* (pow B 2) (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x)))) (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (sqrt 1/2)) (sqrt (+ 1 x))))))))))))) x) |
(* 2 (+ 1 x)) |
(+ (* 2 (+ 1 x)) (pow F 2)) |
(* 1/3 x) |
(+ (* 1/6 (* (* F (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (* 1/3 x)) |
(+ (* 1/3 x) (* F (+ (* -1/48 (* (/ (pow F 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* 1/6 (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))))))) |
(+ (* 1/3 x) (* F (+ (* 1/6 (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x))))) (* (pow F 2) (+ (* -1/48 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* 1/12 (* (/ (* (pow F 2) (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ (pow F 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow F 2) (+ (* -1/8 (/ (pow F 2) (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow F 2) (+ (* (pow F 2) (- (* 1/16 (/ (pow F 2) (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(/ 1 (+ 2 (* 2 x))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
1/2 |
(+ 1/2 (* -1/4 (pow F 2))) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) |
(+ (* -1/8 (* (/ (pow F 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x))))) |
(+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (pow F 2) (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x))))))) |
(+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (pow F 2) (+ (* -1/2 (* (/ (* (pow F 2) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (pow (sqrt 1/2) 2) (+ 1 x)))) (* 1/16 (/ 1 (pow (+ 1 x) 4))))) (sqrt 1/2)) (sqrt (+ 1 x)))) (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (sqrt 1/2)) (sqrt (+ 1 x))))))))) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* (* B (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (* (/ (sqrt 1/2) B) (sqrt (/ 1 (+ 1 x))))))) (/ x B)) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* (* B (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (/ (sqrt 1/2) B) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (* B (sqrt 1/2))) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* -1/48 (* (/ B (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))))))))) (/ x B)) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* (* B (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (/ (sqrt 1/2) B) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (* B (sqrt 1/2))) (sqrt (/ 1 (pow (+ 1 x) 3))))) (+ (* -1/48 (* (/ B (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (pow F 2) (+ (* 1/12 (* (/ (* B (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x)))) (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* B (sqrt 1/2))) (sqrt (+ 1 x))))))))))))) (/ x B)) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* F (sin B)) |
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
F |
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))) x) |
(- (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* -1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))))) x) |
(- (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* -1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6))) (+ (* -1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* -1/12 (/ (* (pow B 2) (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))))) (pow F 6))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))))))) x) |
(pow F 2) |
(* (pow F 2) (+ 1 (* 2 (/ (+ 1 x) (pow F 2))))) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (+ (* -1/6 (/ (+ 1 x) (pow F 2))) (* 1/3 x))) |
(+ 1/6 (+ (* -1/6 (/ (+ 1 x) (pow F 2))) (+ (* -1/12 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (* 1/3 x)))) |
(+ 1/6 (+ (* -1/6 (/ (+ 1 x) (pow F 2))) (+ (* -1/12 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* -1/12 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6))) (* 1/3 x))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(* F (+ 1 (/ 1 (pow F 2)))) |
(* F (- (+ 1 (/ 1 (pow F 2))) (/ 1/2 (pow F 4)))) |
(* F (- (+ 1 (+ (/ 1 (pow F 2)) (* 1/2 (/ 1 (pow F 6))))) (/ 1/2 (pow F 4)))) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 1 x) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (* -1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6)))))) F) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(- (+ (* -1 (/ (+ 1 x) (* B (pow F 2)))) (+ (* -1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 1 B)))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 x) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (* B (pow F 4)))) (+ (* -1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* -1/12 (/ (* B (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 1 B)))))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 x) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (* B (pow F 6)))) (+ (* -1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* -1/12 (/ (* B (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* -1/12 (/ (* B (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))))) (pow F 6))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 1 B)))))))) (/ x B)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (* F (sin B))) |
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))) |
(* -1 F) |
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(- (* (pow B 2) (- (* 1/3 x) 1/6)) (+ 1 x)) |
(- (+ (* 1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* (pow B 2) (- (* 1/3 x) 1/6)) (+ (/ 1 (pow F 2)) (/ x (pow F 2))))) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* 1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* (pow B 2) (- (* 1/3 x) 1/6)) (+ (/ 1 (pow F 2)) (/ x (pow F 2))))))) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* 1/12 (/ (* (pow B 2) (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))))) (pow F 6))) (+ (* 1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* 1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6))) (+ (* (pow B 2) (- (* 1/3 x) 1/6)) (+ (/ 1 (pow F 2)) (/ x (pow F 2))))))))) (+ 1 x)) |
(- (* 1/3 x) 1/6) |
(- (+ (* 1/6 (/ (+ 1 x) (pow F 2))) (* 1/3 x)) 1/6) |
(- (+ (* 1/12 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* 1/6 (/ (+ 1 x) (pow F 2))) (* 1/3 x))) 1/6) |
(- (+ (* 1/12 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* 1/12 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6))) (+ (* 1/6 (/ (+ 1 x) (pow F 2))) (* 1/3 x)))) 1/6) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* -1 (* F (+ 1 (/ 1 (pow F 2))))) |
(* -1 (* F (- (+ 1 (/ 1 (pow F 2))) (/ 1/2 (pow F 4))))) |
(* -1 (* F (- (+ 1 (+ (/ 1 (pow F 2)) (* 1/2 (/ 1 (pow F 6))))) (/ 1/2 (pow F 4))))) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 x) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (* -1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6)))))) F)) |
(/ (- (* (pow B 2) (- (* 1/3 x) 1/6)) (+ 1 x)) B) |
(- (+ (* 1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* B (- (* 1/3 x) 1/6)) (+ (/ 1 (* B (pow F 2))) (/ x (* B (pow F 2)))))) (+ (/ 1 B) (/ x B))) |
(- (+ (* 1/12 (/ (* B (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* 1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (* B (pow F 4)))) (+ (* B (- (* 1/3 x) 1/6)) (+ (/ 1 (* B (pow F 2))) (/ x (* B (pow F 2)))))))) (+ (/ 1 B) (/ x B))) |
(- (+ (* 1/12 (/ (* B (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* 1/12 (/ (* B (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))))) (pow F 6))) (+ (* 1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (* B (pow F 4)))) (+ (* 1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (* B (pow F 6)))) (+ (* B (- (* 1/3 x) 1/6)) (+ (/ 1 (* B (pow F 2))) (/ x (* B (pow F 2)))))))))) (+ (/ 1 B) (/ x B))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(- (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) x) |
(- (+ (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x)))) x) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ -1 B) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B) |
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) B) |
(/ (- (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x)))) x) B) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(sin B) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x))) |
(* (pow B 2) (- (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (+ (* 1/3 x) (* (/ F (pow B 2)) (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))))) (/ x (pow B 2)))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x))) |
(* B (- (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (+ (* 1/3 x) (* (/ F (pow B 2)) (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))))) (/ x (pow B 2)))) |
(/ (* x (cos B)) (sin B)) |
(* -1 (* B (+ (* -1 (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x))) (* -1 (/ (- (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) x) (pow B 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (sin B) (sqrt (+ 2 (pow F 2)))) |
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(sqrt (+ 2 (pow F 2))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
-1 |
(- (* -1 x) 1) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) 1)))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) 1)))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/12 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) 1)))) |
(+ 2 (pow F 2)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
(+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ 1/3 (+ (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/4 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ 1/3 (+ (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/12 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 1/4 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(/ 1 (+ 2 (pow F 2))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) B) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))) (* x (+ (* 1/4 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))) (* x (+ (* 1/4 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/12 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt x) (* (sin B) (sqrt 2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))))) |
(* (sqrt x) (sqrt 2)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* (pow B 2) (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))))) 1)) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (+ 1/3 (* 1/6 (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))))) |
(* x (+ 1/3 (+ (* -1/48 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/6 (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))) |
(* x (+ 1/3 (+ (* -1/48 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* 1/6 (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* B (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* B (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* B (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))))))) (/ 1 B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (+ 1 (* -1/3 (pow B 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* -1/96 (* (/ (* (pow B 2) (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (- (* -1/6 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) 1/3))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/48 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* 1/6 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x)) 1/3))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/48 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/96 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/6 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))) x)) 1/3))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt x))) (* -1/96 (* (/ (* B (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | inf | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (+ (* (+ 1 x) 2) (* F F)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ -1 (sin B)) (sqrt (+ (* F F) 2)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/ 1 (+ (* F F) 2)) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (/ x (tan B))) |
| 7.0ms | F | @ | -inf | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (+ (* (+ 1 x) 2) (* F F)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ -1 (sin B)) (sqrt (+ (* F F) 2)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/ 1 (+ (* F F) 2)) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (/ x (tan B))) |
| 6.0ms | x | @ | -inf | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (+ (* (+ 1 x) 2) (* F F)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ -1 (sin B)) (sqrt (+ (* F F) 2)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/ 1 (+ (* F F) 2)) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (/ x (tan B))) |
| 6.0ms | F | @ | 0 | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (+ (* (+ 1 x) 2) (* F F)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ -1 (sin B)) (sqrt (+ (* F F) 2)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/ 1 (+ (* F F) 2)) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (/ x (tan B))) |
| 5.0ms | F | @ | inf | ((- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (+ (* (+ 1 x) 2) (* F F)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ -1 (sin B)) (sqrt (+ (* F F) 2)) (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/ 1 (+ (* F F) 2)) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (/ x (tan B))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1674 | 12396 |
| 1 | 5459 | 12245 |
| 0 | 9388 | 11182 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(* (sin B) (sqrt (+ 2 (* 2 x)))) |
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (+ 2 (* 2 x))) |
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 (/ x B)) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* -1 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(- (* 1/3 (* (pow B 2) x)) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (* (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x))))))) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (* (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* -1/48 (* (/ (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))))))))) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (* (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (+ (* -1/48 (* (/ (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (pow F 2) (+ (* 1/12 (* (/ (* (pow B 2) (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x)))) (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (sqrt 1/2)) (sqrt (+ 1 x))))))))))))) x) |
(* 2 (+ 1 x)) |
(+ (* 2 (+ 1 x)) (pow F 2)) |
(* 1/3 x) |
(+ (* 1/6 (* (* F (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (* 1/3 x)) |
(+ (* 1/3 x) (* F (+ (* -1/48 (* (/ (pow F 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* 1/6 (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))))))) |
(+ (* 1/3 x) (* F (+ (* 1/6 (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x))))) (* (pow F 2) (+ (* -1/48 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* 1/12 (* (/ (* (pow F 2) (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x))))))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ (pow F 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow F 2) (+ (* -1/8 (/ (pow F 2) (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow F 2) (+ (* (pow F 2) (- (* 1/16 (/ (pow F 2) (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(/ 1 (+ 2 (* 2 x))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
1/2 |
(+ 1/2 (* -1/4 (pow F 2))) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) |
(+ (* -1/8 (* (/ (pow F 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x))))) |
(+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (pow F 2) (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x))))))) |
(+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (pow F 2) (+ (* -1/2 (* (/ (* (pow F 2) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (pow (sqrt 1/2) 2) (+ 1 x)))) (* 1/16 (/ 1 (pow (+ 1 x) 4))))) (sqrt 1/2)) (sqrt (+ 1 x)))) (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (sqrt 1/2)) (sqrt (+ 1 x))))))))) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* (* B (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (* (/ (sqrt 1/2) B) (sqrt (/ 1 (+ 1 x))))))) (/ x B)) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* (* B (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (/ (sqrt 1/2) B) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (* B (sqrt 1/2))) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* -1/48 (* (/ B (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))))))))) (/ x B)) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* (* B (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (/ (sqrt 1/2) B) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (* B (sqrt 1/2))) (sqrt (/ 1 (pow (+ 1 x) 3))))) (+ (* -1/48 (* (/ B (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (pow F 2) (+ (* 1/12 (* (/ (* B (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x)))) (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* B (sqrt 1/2))) (sqrt (+ 1 x))))))))))))) (/ x B)) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) |
(* F (sin B)) |
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
F |
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(/ (- 1 x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B)) |
(- 1 x) |
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x) |
(/ 1 F) |
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))) x) |
(- (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* -1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))))) x) |
(- (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* -1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6))) (+ (* -1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* -1/12 (/ (* (pow B 2) (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))))) (pow F 6))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))))))) x) |
(pow F 2) |
(* (pow F 2) (+ 1 (* 2 (/ (+ 1 x) (pow F 2))))) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (+ (* -1/6 (/ (+ 1 x) (pow F 2))) (* 1/3 x))) |
(+ 1/6 (+ (* -1/6 (/ (+ 1 x) (pow F 2))) (+ (* -1/12 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (* 1/3 x)))) |
(+ 1/6 (+ (* -1/6 (/ (+ 1 x) (pow F 2))) (+ (* -1/12 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* -1/12 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6))) (* 1/3 x))))) |
(/ 1 (sin B)) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) |
(* F (+ 1 (/ 1 (pow F 2)))) |
(* F (- (+ 1 (/ 1 (pow F 2))) (/ 1/2 (pow F 4)))) |
(* F (- (+ 1 (+ (/ 1 (pow F 2)) (* 1/2 (/ 1 (pow F 6))))) (/ 1/2 (pow F 4)))) |
(/ 1 (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(/ (+ 1 (* -1 (/ (+ 1 x) (pow F 2)))) F) |
(/ (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))))) F) |
(/ (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (* -1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6)))))) F) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(- (+ (* -1 (/ (+ 1 x) (* B (pow F 2)))) (+ (* -1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 1 B)))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 x) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (* B (pow F 4)))) (+ (* -1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* -1/12 (/ (* B (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 1 B)))))) (/ x B)) |
(- (+ (* -1 (/ (+ 1 x) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (* B (pow F 6)))) (+ (* -1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* -1/12 (/ (* B (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* -1/12 (/ (* B (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))))) (pow F 6))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 1 B)))))))) (/ x B)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (* F (sin B))) |
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))) |
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))) |
(* -1 F) |
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))) |
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(- (* (pow B 2) (- (* 1/3 x) 1/6)) (+ 1 x)) |
(- (+ (* 1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* (pow B 2) (- (* 1/3 x) 1/6)) (+ (/ 1 (pow F 2)) (/ x (pow F 2))))) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* 1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* (pow B 2) (- (* 1/3 x) 1/6)) (+ (/ 1 (pow F 2)) (/ x (pow F 2))))))) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* 1/12 (/ (* (pow B 2) (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))))) (pow F 6))) (+ (* 1/6 (/ (* (pow B 2) (+ 1 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* 1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6))) (+ (* (pow B 2) (- (* 1/3 x) 1/6)) (+ (/ 1 (pow F 2)) (/ x (pow F 2))))))))) (+ 1 x)) |
(- (* 1/3 x) 1/6) |
(- (+ (* 1/6 (/ (+ 1 x) (pow F 2))) (* 1/3 x)) 1/6) |
(- (+ (* 1/12 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* 1/6 (/ (+ 1 x) (pow F 2))) (* 1/3 x))) 1/6) |
(- (+ (* 1/12 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (+ (* 1/12 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6))) (+ (* 1/6 (/ (+ 1 x) (pow F 2))) (* 1/3 x)))) 1/6) |
(/ -1 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(* -1 (* F (+ 1 (/ 1 (pow F 2))))) |
(* -1 (* F (- (+ 1 (/ 1 (pow F 2))) (/ 1/2 (pow F 4))))) |
(* -1 (* F (- (+ 1 (+ (/ 1 (pow F 2)) (* 1/2 (/ 1 (pow F 6))))) (/ 1/2 (pow F 4))))) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 x) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 x) (pow F 2))) (+ (* -1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (pow F 4))) (* -1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (pow F 6)))))) F)) |
(/ (- (* (pow B 2) (- (* 1/3 x) 1/6)) (+ 1 x)) B) |
(- (+ (* 1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* B (- (* 1/3 x) 1/6)) (+ (/ 1 (* B (pow F 2))) (/ x (* B (pow F 2)))))) (+ (/ 1 B) (/ x B))) |
(- (+ (* 1/12 (/ (* B (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* 1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (* B (pow F 4)))) (+ (* B (- (* 1/3 x) 1/6)) (+ (/ 1 (* B (pow F 2))) (/ x (* B (pow F 2)))))))) (+ (/ 1 B) (/ x B))) |
(- (+ (* 1/12 (/ (* B (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))) (pow F 4))) (+ (* 1/12 (/ (* B (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2))))) (pow F 6))) (+ (* 1/6 (/ (* B (+ 1 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)) (* B (pow F 4)))) (+ (* 1/2 (/ (+ (* 8 (pow (+ 1 x) 3)) (* (+ 1 x) (+ (* -4 (pow (+ 1 x) 2)) (pow (+ 1 x) 2)))) (* B (pow F 6)))) (+ (* B (- (* 1/3 x) 1/6)) (+ (/ 1 (* B (pow F 2))) (/ x (* B (pow F 2)))))))))) (+ (/ 1 B) (/ x B))) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))) |
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(- (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) x) |
(- (+ (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x)))) x) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) |
(/ -1 B) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B) |
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) B) |
(/ (- (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x)))) x) B) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) |
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
(sin B) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x))) |
(* (pow B 2) (- (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (+ (* 1/3 x) (* (/ F (pow B 2)) (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))))) (/ x (pow B 2)))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x))) |
(* B (- (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (+ (* 1/3 x) (* (/ F (pow B 2)) (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))))) (/ x (pow B 2)))) |
(/ (* x (cos B)) (sin B)) |
(* -1 (* B (+ (* -1 (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x))) (* -1 (/ (- (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2))))) x) (pow B 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* (sin B) (sqrt (+ 2 (pow F 2)))) |
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2))))) |
(sqrt (+ 2 (pow F 2))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) |
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) 1))) |
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) 1))) |
-1 |
(- (* -1 x) 1) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) 1)))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) 1)))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/12 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) 1)))) |
(+ 2 (pow F 2)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
(+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ 1/3 (+ (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/4 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) |
(+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ 1/3 (+ (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/12 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 1/4 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))))) |
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(/ 1 (+ 2 (pow F 2))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) B) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))) (* x (+ (* 1/4 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))) (* x (+ (* 1/4 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/12 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B)))) |
(* (sqrt x) (* (sin B) (sqrt 2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))))) |
(* (sqrt x) (sqrt 2)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* (pow B 2) (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))))) 1)) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* x (+ 1/3 (* 1/6 (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))))) |
(* x (+ 1/3 (+ (* -1/48 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/6 (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))) |
(* x (+ 1/3 (+ (* -1/48 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* 1/6 (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) |
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* B (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* B (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* B (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))))))) (/ 1 B))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B))))) |
(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) |
(* -1 (* x (+ 1 (* -1/3 (pow B 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* -1/96 (* (/ (* (pow B 2) (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* x (- (* -1/6 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) 1/3))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/48 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* 1/6 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x)) 1/3))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/48 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/96 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/6 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))) x)) 1/3))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt x))) (* -1/96 (* (/ (* B (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* (sin B) (sqrt (+ 2 (* 2 x)))) |
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 B)) |
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 F F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 B))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (*.f64 F F) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 B))) |
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (*.f64 F F) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 B))) |
(sqrt (+ 2 (* 2 x))) |
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (*.f64 F F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (*.f64 F F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(* -1 (/ x B)) |
(/.f64 (neg.f64 x) B) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B)) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) B)) |
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) B) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) B)) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F (neg.f64 x)) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F (neg.f64 x)) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(- (* 1/3 (* (pow B 2) x)) x) |
(*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (* (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x))))))) x) |
(fma.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) x (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 B B))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x))) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (* (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* -1/48 (* (/ (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))))))))) x) |
(fma.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) x (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 B B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 B B) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) #s(literal -1/48 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64))))) F (neg.f64 x))) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (* (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (+ (* -1/48 (* (/ (pow B 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (pow F 2) (+ (* 1/12 (* (/ (* (pow B 2) (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x)))) (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (sqrt 1/2)) (sqrt (+ 1 x))))))))))))) x) |
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(* 2 (+ 1 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ (* 2 (+ 1 x)) (pow F 2)) |
(fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(+ (* 1/6 (* (* F (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (* 1/3 x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/3 binary64) x)) |
(+ (* 1/3 x) (* F (+ (* -1/48 (* (/ (pow F 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* 1/6 (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) F (*.f64 #s(literal 1/3 binary64) x)) |
(+ (* 1/3 x) (* F (+ (* 1/6 (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x))))) (* (pow F 2) (+ (* -1/48 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* 1/12 (* (/ (* (pow F 2) (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/64 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 F F) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) F (*.f64 #s(literal 1/3 binary64) x)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) |
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))) F) |
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64)))) (sin.f64 B)) #s(literal 3/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 F F)) (sin.f64 B)) #s(literal -5/16 binary64))) (*.f64 F F) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))) F) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ (pow F 2) (sqrt 2)))) |
(fma.f64 (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow F 2) (+ (* -1/8 (/ (pow F 2) (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow F 2) (+ (* (pow F 2) (- (* 1/16 (/ (pow F 2) (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 F F)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 F F) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 F F) (sqrt.f64 #s(literal 2 binary64))) |
(/ 1 (+ 2 (* 2 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 F F) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 F F) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 F F) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow F 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 F F) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow F 2) (- (* 1/8 (pow F 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow F 2) (- (* (pow F 2) (+ 1/8 (* -1/16 (pow F 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 F F) #s(literal 1/8 binary64)) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64)) |
(* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* -1/8 (* (/ (pow F 2) (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 F F) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (pow F 2) (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/64 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (pow F 2) (+ (* -1/2 (* (/ (* (pow F 2) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (pow (sqrt 1/2) 2) (+ 1 x)))) (* 1/16 (/ 1 (pow (+ 1 x) 4))))) (sqrt 1/2)) (sqrt (+ 1 x)))) (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (sqrt 1/2)) (sqrt (+ 1 x))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/64 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/64 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (*.f64 F F)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 F F) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x) B) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* (* B (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (* (/ (sqrt 1/2) B) (sqrt (/ 1 (+ 1 x))))))) (/ x B)) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) F (*.f64 (*.f64 x B) #s(literal 1/3 binary64))) (/.f64 x B)) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* (* B (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (/ (sqrt 1/2) B) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (* B (sqrt 1/2))) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* -1/48 (* (/ B (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))))))))) (/ x B)) |
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(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* (* B (sqrt 1/2)) (sqrt (/ 1 (+ 1 x))))) (+ (* (/ (sqrt 1/2) B) (sqrt (/ 1 (+ 1 x)))) (* (pow F 2) (+ (* -1/8 (* (/ 1 (* B (sqrt 1/2))) (sqrt (/ 1 (pow (+ 1 x) 3))))) (+ (* -1/48 (* (/ B (sqrt 1/2)) (sqrt (/ 1 (pow (+ 1 x) 3))))) (* (pow F 2) (+ (* 1/12 (* (/ (* B (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (sqrt 1/2)) (sqrt (+ 1 x)))) (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (+ 1 x) 3))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* B (sqrt 1/2))) (sqrt (+ 1 x))))))))))))) (/ x B)) |
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(* F (sin B)) |
(*.f64 (sin.f64 B) F) |
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))) |
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F |
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(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
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(- 1 x) |
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(pow F 2) |
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(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))) |
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B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
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(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B) |
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(/ -1 B) |
(/.f64 #s(literal -1 binary64) B) |
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(/.f64 x B) |
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) |
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(sin B) |
(sin.f64 B) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ (* 2 (+ 1 x)) (pow F 2)))))) (* 1/3 x))) |
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(/ (* x (cos B)) (sin B)) |
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(* (sin B) (sqrt (+ 2 (pow F 2)))) |
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(sqrt (+ 2 (pow F 2))) |
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(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)) |
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(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) |
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-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
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(+ 2 (pow F 2)) |
(fma.f64 F F #s(literal 2 binary64)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) |
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(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) (*.f64 (*.f64 F (/.f64 x (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 F (/.f64 x (sin.f64 B)))) #s(literal 3/2 binary64) (*.f64 (neg.f64 (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(/ 1 (+ 2 (pow F 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(fma.f64 (/.f64 x (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
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(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
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(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) B) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B) |
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(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
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(* (sqrt x) (* (sin B) (sqrt 2))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))) |
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(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))) |
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(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
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(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
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(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
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(fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
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(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x) |
(* x (- (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) #s(literal -1 binary64) #s(literal -1/3 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/48 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/96 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/6 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))) x)) 1/3))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) x) #s(literal -1 binary64) #s(literal -1/3 binary64))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (fma.f64 F F #s(literal 2 binary64)))) x) #s(literal -1 binary64) #s(literal -1/2 binary64))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) x) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (fma.f64 F F #s(literal 2 binary64)))) x) #s(literal -1 binary64) #s(literal -1/2 binary64))) x) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64))) B) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 B F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt x))) (* -1/96 (* (/ (* B (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 B F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 B F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 x)) #s(literal -1/96 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) B)) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64)))) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 542 |
| 0 | 111 | 527 |
| 1 | 460 | 506 |
| 2 | 4034 | 506 |
| 0 | 9755 | 476 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(sin.f64 B) |
#s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) |
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B) |
(fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) |
(sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
#s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) |
(/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) |
#s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B) |
(/.f64 x (tan.f64 B)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (pow.f64 (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 (tan.f64 B) F) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) x))) (pow.f64 (*.f64 (tan.f64 B) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (-.f64 (pow.f64 (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (pow.f64 (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (tan.f64 B) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))) (-.f64 (*.f64 (tan.f64 B) F) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) x)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (tan.f64 B) F) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) x))) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) (neg.f64 (tan.f64 B))) |
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) (neg.f64 (neg.f64 (neg.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)) B))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (-.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))))) B))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 2 binary64))) (pow.f64 B #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 3 binary64))) (pow.f64 B #s(literal -1 binary64))) (fma.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (-.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal 1 binary64)) B) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 B (-.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 3 binary64)))) (neg.f64 (*.f64 B (fma.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (-.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)) B)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (-.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))))) B)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 2 binary64))) (*.f64 B (-.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)))) |
(/.f64 (fma.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) #s(literal 3 binary64))) (*.f64 B (fma.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (-.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))) (neg.f64 B)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)) B) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))) B)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)) (neg.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (tan.f64 B))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(*.f64 x (pow.f64 (tan.f64 B) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 B))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (tan.f64 B))) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (tan.f64 B) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 x (tan.f64 B)) |
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64))) |
Compiled 80 208 to 6 246 computations (92.2% saved)
68 alts after pruning (64 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 148 | 37 | 1 185 |
| Fresh | 19 | 27 | 46 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 170 | 68 | 1 238 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 72.3% | (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 66.1% | (/.f64 (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (tan.f64 B)) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) x)) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))) | |
| 77.5% | (-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) | |
| 82.9% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) | |
| 55.9% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 56.1% | (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) | |
| 67.5% | (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x (tan.f64 B))) | |
| 55.1% | (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) | |
| 57.6% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) | |
| ✓ | 53.6% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
| 34.0% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 54.3% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (/.f64 x (tan.f64 B))) | |
| 52.6% | (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) | |
| 57.6% | (+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 56.1% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) | |
| 52.6% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) | |
| 33.8% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 38.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) | |
| 22.5% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) F (neg.f64 x))) B)) | |
| 25.8% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) | |
| 41.2% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)) B)) | |
| 38.0% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) | |
| 41.0% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) | |
| 41.3% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) | |
| 54.2% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))) | |
| 28.5% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) | |
| 15.1% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) | |
| 27.2% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) | |
| 27.9% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) | |
| 41.3% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) | |
| 30.4% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 54.0% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 22.0% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) B (+.f64 (/.f64 x (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B))))) (/.f64 #s(literal 1 binary64) B)) (/.f64 x B)))) | |
| 19.9% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) B) (*.f64 F F))) (/.f64 x B)))) | |
| 3.0% | #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) B))) | |
| 47.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B))))) | |
| 40.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) | |
| 40.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B)) | |
| ✓ | 41.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
| 17.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) | |
| 27.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) | |
| 29.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) | |
| 27.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) | |
| 28.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) | |
| 17.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) | |
| 41.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 27.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) | |
| 22.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) | |
| 23.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) | |
| 27.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) | |
| 27.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) | |
| ✓ | 28.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
| 15.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) | |
| ✓ | 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
| 11.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) | |
| 27.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) | |
| 26.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B)))) | |
| 22.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) | |
| 20.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) | |
| 11.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) | |
| 11.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) | |
| 18.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sin.f64 B) F)))) | |
| 18.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal 1/2 binary64))))) | |
| 18.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 F (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) | |
| 11.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 7/360 binary64)) (*.f64 B B) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 1/6 binary64))) (*.f64 B B) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) | |
| 11.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) | |
| 11.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
Compiled 11 044 to 3 093 computations (72% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
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#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
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#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (tan.f64 B)) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) x)) (*.f64 #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))) |
(/.f64 (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (tan.f64 B)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) x)) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 (tan.f64 B)) x) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (neg.f64 (tan.f64 B)) x))) |
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (cos.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (*.f64 (cos.f64 B) (neg.f64 x)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
4 calls:
| 47.0ms | F |
| 41.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 41.0ms | x |
| 39.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | F |
| 83.1% | 1 | B |
| 83.1% | 1 | x |
| 86.8% | 2 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal 1/2 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sin.f64 B) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 #s(literal 1/2 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (*.f64 #s(literal 7/360 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/45 binary64) x))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F))) B))) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
1 calls:
| 34.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
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#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) B (+.f64 (/.f64 x (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B))))) (/.f64 #s(literal 1 binary64) B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 F (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal 1/2 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sin.f64 B) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 #s(literal 1/2 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (*.f64 #s(literal 7/360 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/45 binary64) x))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F))) B))) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
1 calls:
| 44.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
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(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
1 calls:
| 31.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
1 calls:
| 31.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
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(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
1 calls:
| 34.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
2 calls:
| 28.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 26.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 6 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 87.3% | 3 | F |
Compiled 28 to 23 computations (17.9% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
3 calls:
| 28.0ms | B |
| 27.0ms | x |
| 27.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | x |
| 67.6% | 1 | B |
| 83.4% | 4 | F |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) B))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
1 calls:
| 25.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 4 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 7/360 binary64)) (*.f64 B B) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 1/6 binary64))) (*.f64 B B) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) B) (*.f64 F F))) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) B (+.f64 (/.f64 x (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B))))) (/.f64 #s(literal 1 binary64) B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 F (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal 1/2 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sin.f64 B) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 #s(literal 1/2 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (*.f64 #s(literal 7/360 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/45 binary64) x))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
3 calls:
| 27.0ms | F |
| 24.0ms | x |
| 24.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 5 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 76.5% | 3 | x |
| 74.8% | 3 | F |
Compiled 29 to 26 computations (10.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
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#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) B) (*.f64 F F))) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) B (+.f64 (/.f64 x (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B))))) (/.f64 #s(literal 1 binary64) B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 F (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal 1/2 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sin.f64 B) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 #s(literal 1/2 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (*.f64 #s(literal 7/360 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/45 binary64) x))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
1 calls:
| 24.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
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(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 F (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal 1/2 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sin.f64 B) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 #s(literal 1/2 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (*.f64 #s(literal 7/360 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/45 binary64) x))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
4 calls:
| 23.0ms | B |
| 23.0ms | x |
| 23.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 22.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 2 | B |
| 70.9% | 6 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 68.2% | 2 | F |
| 69.1% | 3 | x |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 7/360 binary64)) (*.f64 B B) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 1/6 binary64))) (*.f64 B B) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) B) (*.f64 F F))) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) B (+.f64 (/.f64 x (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B))))) (/.f64 #s(literal 1 binary64) B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 F (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal 1/2 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sin.f64 B) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B)) |
| Outputs |
|---|
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
3 calls:
| 24.0ms | B |
| 24.0ms | F |
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 2 | B |
| 63.9% | 4 | x |
| 66.5% | 2 | F |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
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#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) B) (*.f64 F F))) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) B (+.f64 (/.f64 x (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B))))) (/.f64 #s(literal 1 binary64) B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 F (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal 1/2 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B)) |
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) |
2 calls:
| 38.0ms | B |
| 20.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 2 | B |
| 55.9% | 2 | F |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 7/360 binary64)) (*.f64 B B) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(literal 1/6 binary64))) (*.f64 B B) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B))) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 B B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) B) (*.f64 F F))) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) B (+.f64 (/.f64 x (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B))))) (/.f64 #s(literal 1 binary64) B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x (neg.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
| Outputs |
|---|
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) B (+.f64 (/.f64 x (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B))))) (/.f64 #s(literal 1 binary64) B)) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
4 calls:
| 19.0ms | x |
| 19.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 18.0ms | B |
| 17.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 3 | F |
| 41.4% | 1 | x |
| 45.2% | 2 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 41.4% | 1 | B |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
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#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) B) (*.f64 F F))) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 #s(approx (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B) B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))) |
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 #s(approx (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) F)) F (neg.f64 x))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 F F)))) F (neg.f64 x))) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 18.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 F F) #s(literal -1/4 binary64)) (*.f64 F F) #s(literal 1/2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 11.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) |
| Outputs |
|---|
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 8.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
| Outputs |
|---|
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 7.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) |
| Outputs |
|---|
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 7.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 4.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
1 calls:
| 4.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (/ (* (sqrt 1/2) F) (sin B)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* (* B B) 1/6) 1) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F)) (+ (* (+ (* (+ (* 1/45 x) (+ (* (* (* x 2/945) B) B) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (- (* 7/360 F) (* (* (* F -31/15120) B) B))))) (* B B)) (* 1/3 x)) (* B B)) (neg x))) #s(approx (* (+ (* (+ (* (+ (* 2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) -1) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) |
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)) |
4 calls:
| 3.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 3.0ms | B |
| 3.0ms | F |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.7% | 1 | B |
| 31.0% | 2 | x |
| 34.9% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 43.9% | 3 | F |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
1 calls:
| 2.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 2 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
3 calls:
| 2.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 1.0ms | F |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.4% | 3 | x |
| 27.9% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 30.3% | 2 | F |
Compiled 29 to 26 computations (10.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
4 calls:
| 1.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 1.0ms | F |
| 1.0ms | x |
| 1.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.5% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| 11.5% | 1 | B |
| 11.5% | 1 | F |
| 11.5% | 1 | x |
Compiled 30 to 29 computations (3.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 6241462229.296108 | 6524951103326106.0 |
| 23.0ms | -6.462083264394493e+41 | -4.0524542319938036e+38 |
| 38.0ms | 224× | 0 | valid |
| 3.0ms | 19× | 0 | invalid |
Compiled 726 to 564 computations (22.3% saved)
ival-mult: 7.0ms (21.1% of total)ival-div: 5.0ms (15.1% of total)ival-sin: 5.0ms (15.1% of total)ival-tan: 5.0ms (15.1% of total)ival-pow: 5.0ms (15.1% of total)ival-add: 3.0ms (9% of total)ival-neg: 2.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6241462229.296108 | 6524951103326106.0 |
| 26.0ms | -1.005129152011722e+45 | -2.822802643594616e+43 |
| 19.0ms | 112× | 0 | valid |
| 2.0ms | 10× | 0 | invalid |
Compiled 631 to 490 computations (22.3% saved)
ival-mult: 3.0ms (17.8% of total)ival-sin: 3.0ms (17.8% of total)ival-tan: 3.0ms (17.8% of total)ival-div: 2.0ms (11.9% of total)ival-add: 2.0ms (11.9% of total)ival-pow: 2.0ms (11.9% of total)ival-neg: 1.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 0.024040710344623017 | 6241462229.296108 |
| 1.0ms | -1.005129152011722e+45 | -2.822802643594616e+43 |
| 49.0ms | 160× | 0 | valid |
| 3.0ms | 17× | 0 | invalid |
Compiled 897 to 706 computations (21.3% saved)
ival-div: 25.0ms (55.6% of total)ival-mult: 4.0ms (8.9% of total)ival-tan: 4.0ms (8.9% of total)ival-add: 3.0ms (6.7% of total)ival-sin: 3.0ms (6.7% of total)ival-pow: 3.0ms (6.7% of total)ival-neg: 2.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.024040710344623017 | 6241462229.296108 |
| 25.0ms | -4.0524542319938036e+38 | -335560483.383704 |
| 35.0ms | 192× | 0 | valid |
| 2.0ms | 12× | 0 | invalid |
Compiled 846 to 666 computations (21.3% saved)
ival-mult: 5.0ms (18% of total)ival-tan: 5.0ms (18% of total)ival-div: 4.0ms (14.4% of total)ival-sin: 4.0ms (14.4% of total)ival-pow: 4.0ms (14.4% of total)ival-add: 3.0ms (10.8% of total)ival-neg: 2.0ms (7.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 0.024040710344623017 | 6241462229.296108 |
| 33.0ms | -572260.3390919805 | -0.0008833587596216761 |
| 71.0ms | 288× | 0 | valid |
| 3.0ms | 20× | 0 | invalid |
Compiled 1 075 to 805 computations (25.1% saved)
ival-pow: 27.0ms (42.7% of total)ival-mult: 8.0ms (12.7% of total)ival-sin: 7.0ms (11.1% of total)ival-tan: 7.0ms (11.1% of total)ival-div: 6.0ms (9.5% of total)ival-add: 5.0ms (7.9% of total)ival-neg: 3.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 8.318333078876104e-16 | 2.2654118835124323e-15 |
| 9.0ms | -6.462083264394493e+41 | -4.0524542319938036e+38 |
| 21.0ms | 112× | 0 | valid |
| 1.0ms | 7× | 0 | invalid |
Compiled 810 to 624 computations (23% saved)
ival-tan: 5.0ms (27.5% of total)ival-mult: 3.0ms (16.5% of total)ival-sin: 3.0ms (16.5% of total)ival-div: 2.0ms (11% of total)ival-add: 2.0ms (11% of total)ival-pow: 2.0ms (11% of total)ival-neg: 1.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 6241462229.296108 | 6524951103326106.0 |
| 1.0ms | -6.462083264394493e+41 | -4.0524542319938036e+38 |
| 3.0ms | 16× | 0 | valid |
| 1.0ms | 5× | 0 | invalid |
Compiled 1 149 to 871 computations (24.2% saved)
ival-mult: 1.0ms (34.4% of total)ival-tan: 1.0ms (34.4% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-pow: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6241462229.296108 | 6524951103326106.0 |
| 39.0ms | -7.802942698644324e-113 | -3.7900511433023164e-120 |
| 22.0ms | -7.008158822736742e+77 | -1.6786037697791803e+77 |
| 47.0ms | 240× | 0 | valid |
| 4.0ms | 24× | 0 | invalid |
Compiled 1 608 to 1 199 computations (25.4% saved)
ival-pow: 10.0ms (23.7% of total)ival-mult: 7.0ms (16.6% of total)ival-tan: 7.0ms (16.6% of total)ival-sin: 6.0ms (14.2% of total)ival-div: 5.0ms (11.8% of total)ival-add: 4.0ms (9.5% of total)ival-neg: 2.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6241462229.296108 | 6524951103326106.0 |
| 1.0ms | -7.802942698644324e-113 | -3.7900511433023164e-120 |
| 1.0ms | -7.008158822736742e+77 | -1.6786037697791803e+77 |
Compiled 1 536 to 1 127 computations (26.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.3169825923530162e-5 | 0.0003555946259992698 |
| 21.0ms | -1.8216476396847135e-5 | -8.851513853043871e-6 |
| 38.0ms | 192× | 0 | valid |
Compiled 798 to 589 computations (26.2% saved)
ival-div: 7.0ms (21.5% of total)ival-tan: 7.0ms (21.5% of total)ival-mult: 5.0ms (15.3% of total)ival-sin: 4.0ms (12.3% of total)ival-pow: 4.0ms (12.3% of total)ival-add: 3.0ms (9.2% of total)ival-neg: 2.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.3169825923530162e-5 | 0.0003555946259992698 |
| 16.0ms | -1.8216476396847135e-5 | -8.851513853043871e-6 |
| 13.0ms | 64× | 0 | valid |
Compiled 738 to 554 computations (24.9% saved)
ival-mult: 2.0ms (21.6% of total)ival-sin: 2.0ms (21.6% of total)ival-tan: 2.0ms (21.6% of total)ival-div: 1.0ms (10.8% of total)ival-add: 1.0ms (10.8% of total)ival-pow: 1.0ms (10.8% of total)ival-neg: 1.0ms (10.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 6241462229.296108 | 6524951103326106.0 |
| 3.0ms | 16× | 0 | valid |
| 1.0ms | 7× | 0 | invalid |
Compiled 660 to 494 computations (25.2% saved)
ival-mult: 1.0ms (32.2% of total)ival-sin: 1.0ms (32.2% of total)ival-tan: 1.0ms (32.2% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-pow: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6241462229.296108 | 6524951103326106.0 |
Compiled 615 to 467 computations (24.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.373280694993619e-7 | 0.0007977202087082969 |
| 21.0ms | 128× | 0 | valid |
Compiled 726 to 506 computations (30.3% saved)
ival-div: 5.0ms (29.1% of total)ival-mult: 3.0ms (17.5% of total)ival-pow: 3.0ms (17.5% of total)ival-add: 2.0ms (11.7% of total)ival-tan: 2.0ms (11.7% of total)ival-sin: 1.0ms (5.8% of total)ival-neg: 1.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 0.024040710344623017 | 6241462229.296108 |
| 10.0ms | -1.5235470078309928e+158 | -1.3525072297039813e+158 |
| 28.0ms | 144× | 0 | valid |
| 0.0ms | 4× | 0 | invalid |
Compiled 1 646 to 986 computations (40.1% saved)
ival-mult: 4.0ms (20% of total)ival-div: 3.0ms (15% of total)ival-sin: 3.0ms (15% of total)ival-tan: 3.0ms (15% of total)ival-pow: 3.0ms (15% of total)ival-add: 2.0ms (10% of total)ival-neg: 1.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.024040710344623017 | 6241462229.296108 |
| 40.0ms | -0.0008833587596216761 | -1.0016401537520065e-10 |
| 45.0ms | 224× | 0 | valid |
| 2.0ms | 14× | 0 | invalid |
Compiled 2 392 to 1 481 computations (38.1% saved)
ival-mult: 10.0ms (24.9% of total)ival-sin: 9.0ms (22.4% of total)ival-tan: 6.0ms (14.9% of total)ival-div: 5.0ms (12.4% of total)ival-pow: 5.0ms (12.4% of total)ival-add: 3.0ms (7.5% of total)ival-neg: 2.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.024040710344623017 | 6241462229.296108 |
| 2.0ms | -0.0008833587596216761 | -1.0016401537520065e-10 |
Compiled 2 356 to 1 463 computations (37.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.024040710344623017 | 6241462229.296108 |
| 1.0ms | -1.5235470078309928e+158 | -1.3525072297039813e+158 |
Compiled 1 590 to 962 computations (39.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.024040710344623017 | 6241462229.296108 |
| 2.0ms | -0.0008833587596216761 | -1.0016401537520065e-10 |
Compiled 2 500 to 1 508 computations (39.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.024040710344623017 | 6241462229.296108 |
| 7.0ms | -0.0008833587596216761 | -1.0016401537520065e-10 |
Compiled 2 557 to 1 489 computations (41.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.024040710344623017 | 6241462229.296108 |
| 2.0ms | -572260.3390919805 | -0.0008833587596216761 |
Compiled 2 323 to 1 390 computations (40.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 1.618705658927285e-16 | 8.318333078876104e-16 |
| 1.0ms | -572260.3390919805 | -0.0008833587596216761 |
| 19.0ms | 96× | 0 | valid |
| 1.0ms | 4× | 0 | invalid |
Compiled 1 635 to 1 016 computations (37.9% saved)
ival-mult: 6.0ms (36.3% of total)ival-div: 2.0ms (12.1% of total)ival-add: 2.0ms (12.1% of total)ival-sin: 2.0ms (12.1% of total)ival-tan: 2.0ms (12.1% of total)ival-pow: 2.0ms (12.1% of total)ival-neg: 1.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 6.730083979317561e-19 | 1.618705658927285e-16 |
| 22.0ms | -5.522191494975973e-73 | -2.6005660389780983e-73 |
| 40.0ms | 192× | 0 | valid |
| 3.0ms | 19× | 0 | invalid |
Compiled 1 242 to 806 computations (35.1% saved)
ival-tan: 9.0ms (24.4% of total)ival-add: 7.0ms (19% of total)ival-mult: 5.0ms (13.6% of total)ival-sin: 5.0ms (13.6% of total)ival-div: 4.0ms (10.9% of total)ival-pow: 4.0ms (10.9% of total)ival-neg: 2.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -5.522191494975973e-73 | -2.6005660389780983e-73 |
Compiled 535 to 351 computations (34.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 2.1363750992891045e-182 | 9.070785363037591e-182 |
| 22.0ms | -1.890279628166016e-188 | -5.9836654613587725e-189 |
| 46.0ms | 176× | 0 | valid |
Compiled 1 163 to 763 computations (34.4% saved)
ival-add: 9.0ms (22% of total)ival-mult: 9.0ms (22% of total)ival-div: 8.0ms (19.6% of total)ival-sin: 4.0ms (9.8% of total)ival-tan: 4.0ms (9.8% of total)ival-pow: 4.0ms (9.8% of total)ival-neg: 2.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 319 | 3297 |
| 1 | 433 | 3219 |
| 2 | 565 | 3219 |
| 3 | 874 | 3119 |
| 4 | 1531 | 3119 |
| 5 | 3058 | 3117 |
| 1× | node limit |
| Inputs |
|---|
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(if (<=.f64 F #s(literal -30000000000000001656056390163622572291260416 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 10000000000 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) #s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -30000000000000001656056390163622572291260416 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 16600000 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -2000000000 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 110000000 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -410000000000000034215891918570475487232 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 5577662641004209/2535301200456458802993406410752 binary64)) (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -410000000000000034215891918570475487232 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 6600000000 binary64)) (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -700000000000000026514341970097867610241323729186013743410697692311706125991936 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal -7624841658832241/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 6600000000 binary64)) (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))) |
(if (<=.f64 F #s(literal -700000000000000026514341970097867610241323729186013743410697692311706125991936 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal -7624841658832241/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 6600000000 binary64)) (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))) (/.f64 x (tan.f64 B))) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))) |
(if (<=.f64 x #s(literal -8854437155380585/590295810358705651712 binary64)) (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))) (if (<=.f64 x #s(literal 2176715800697727/73786976294838206464 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 x #s(literal -5902958103587057/590295810358705651712 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 2176715800697727/73786976294838206464 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal 6400000000 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) (/.f64 x (tan.f64 B))) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(if (<=.f64 F #s(literal 6400000000 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
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(if (<=.f64 F #s(literal -135999999999999991639683373018151826263028539962598052030682288174101925758346770647976813882292942080695427268950626117647718152853071685079481911754415407104 binary64)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) #s(approx (/ (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) B) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) F) (/.f64 (fma.f64 x B B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) B (+.f64 (/.f64 x (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B))))) (/.f64 #s(literal 1 binary64) B)) (/.f64 x B)))) (if (<=.f64 F #s(literal 3000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)))) |
(if (<=.f64 F #s(literal -8116567392432203/9223372036854775808 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) (if (<=.f64 F #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)))) |
(if (<=.f64 F #s(literal -8116567392432203/9223372036854775808 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) (if (<=.f64 F #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)))) |
(if (<=.f64 F #s(literal -135999999999999991639683373018151826263028539962598052030682288174101925758346770647976813882292942080695427268950626117647718152853071685079481911754415407104 binary64)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) (if (<=.f64 F #s(literal 3000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)))) |
(if (<=.f64 F #s(literal -8116567392432203/9223372036854775808 binary64)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) (if (<=.f64 F #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)))) |
(if (<=.f64 F #s(literal -8116567392432203/9223372036854775808 binary64)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x))) B)) (if (<=.f64 F #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)))) |
(if (<=.f64 F #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)))) |
(if (<=.f64 F #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 8315787937497185/10141204801825835211973625643008 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)))) |
(if (<=.f64 F #s(literal -4058157609103859/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)))) |
(if (<=.f64 F #s(literal -4058157609103859/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))) |
(if (<=.f64 x #s(literal -5800277839818293/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 5382073949696787/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
| Outputs |
|---|
(if (<=.f64 F #s(literal -499999999999999969854583185801589293056 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 6500000000 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -499999999999999969854583185801589293056 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 6500000000 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -30000000000000001656056390163622572291260416 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 10000000000 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) #s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -30000000000000001656056390163622572291260416 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 10000000000 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -30000000000000001656056390163622572291260416 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 16600000 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -30000000000000001656056390163622572291260416 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 16600000 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -2000000000 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 110000000 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -2000000000 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 110000000 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) #s(approx (sqrt (+ (* F F) 2)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -410000000000000034215891918570475487232 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 5577662641004209/2535301200456458802993406410752 binary64)) (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -410000000000000034215891918570475487232 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 5577662641004209/2535301200456458802993406410752 binary64)) (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) #s(literal -1 binary64))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -410000000000000034215891918570475487232 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 6600000000 binary64)) (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -410000000000000034215891918570475487232 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 6600000000 binary64)) (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) #s(literal -1 binary64))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))))) |
(if (<=.f64 F #s(literal -700000000000000026514341970097867610241323729186013743410697692311706125991936 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal -7624841658832241/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 6600000000 binary64)) (fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))) |
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(if (<=.f64 F #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))) F (neg.f64 x)) B)) #s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 #s(approx (+ (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F))))) (* 1/3 x)) (* B B)) (+ (* (sqrt (/ 1 (+ (* (+ 1 x) 2) (* F F)))) F) (neg x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)))) |
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(if (<=.f64 F #s(literal -4058157609103859/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B)))) |
(if (<=.f64 F #s(literal -4058157609103859/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))) |
(if (<=.f64 x #s(literal -5800277839818293/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 5382073949696787/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)))) |
(if (or (<=.f64 x #s(literal -5800277839818293/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) (not (<=.f64 x #s(literal 5382073949696787/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1638 | 13572 |
| 1 | 5628 | 12848 |
| 0 | 8591 | 11597 |
| 0 | 1674 | 12396 |
| 1 | 5459 | 12245 |
| 0 | 9388 | 11182 |
| 0 | 20 | 71 |
| 0 | 37 | 67 |
| 1 | 122 | 66 |
| 2 | 789 | 66 |
| 0 | 8345 | 58 |
| 0 | 80 | 551 |
| 0 | 137 | 532 |
| 1 | 531 | 490 |
| 2 | 4324 | 490 |
| 0 | 8773 | 490 |
| 0 | 1768 | 15493 |
| 1 | 5792 | 14747 |
| 0 | 9260 | 13390 |
| 0 | 74 | 542 |
| 0 | 111 | 527 |
| 1 | 460 | 506 |
| 2 | 4034 | 506 |
| 0 | 9755 | 476 |
| 0 | 496 | 3513 |
| 1 | 1484 | 3321 |
| 2 | 5396 | 3259 |
| 0 | 8593 | 2966 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 6 729 to 2 937 computations (56.4% saved)
(negabs B)
Compiled 7 082 to 790 computations (88.8% saved)
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