
Time bar (total: 13.8s)
| 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)
| 1.6s | 8 256× | 0 | valid |
| 107.0ms | 316× | 0 | invalid |
ival-div: 309.0ms (21.7% of total)ival-mult: 272.0ms (19.1% of total)ival-tan: 247.0ms (17.4% of total)ival-pow: 191.0ms (13.4% of total)ival-sin: 180.0ms (12.6% of total)ival-add: 118.0ms (8.3% of total)ival-neg: 85.0ms (6% of total)exact: 11.0ms (0.8% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 67 | 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)))) |
| 31 | 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 | 67 | 0 |
| ↳ | (*.f64 F F) | overflow | 67 | |
| ↳ | (+.f64 (*.f64 F F) #s(literal 2 binary64)) | overflow | 67 | |
| ↳ | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | overflow | 67 | |
*.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 | 31 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 50 | 0 |
| - | 24 | 182 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 50 | 0 | 0 |
| - | 24 | 0 | 182 |
| number | freq |
|---|---|
| 0 | 182 |
| 1 | 50 |
| 2 | 24 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 111.0ms | 512× | 0 | valid |
Compiled 265 to 64 computations (75.8% saved)
ival-tan: 16.0ms (19.8% of total)ival-div: 13.0ms (16.1% of total)ival-pow: 13.0ms (16.1% of total)ival-mult: 12.0ms (14.9% of total)ival-sin: 12.0ms (14.9% of total)ival-add: 8.0ms (9.9% of total)ival-neg: 4.0ms (5% of total)ival-true: 1.0ms (1.2% of total)exact: 1.0ms (1.2% 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 |
|---|---|---|
| ▶ | 80.6% | (+.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)))))) |
Compiled 27 to 20 computations (25.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 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)))))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
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 | 0.1640625 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.21484375 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 7.637478518472351 | (*.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 | 15.65198342430933 | (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)))) |
| 55.0ms | 256× | 0 | valid |
Compiled 119 to 22 computations (81.5% saved)
ival-mult: 6.0ms (15.7% of total)ival-tan: 6.0ms (15.7% of total)ival-neg: 6.0ms (15.7% of total)ival-div: 5.0ms (13.1% of total)ival-sin: 5.0ms (13.1% of total)ival-pow: 5.0ms (13.1% of total)ival-add: 3.0ms (7.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.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 | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((* x (/ 1 (tan B))) (/ 1 2) (+ (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 | ((* x (/ 1 (tan B))) (/ 1 2) (+ (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 | ((* x (/ 1 (tan B))) (/ 1 2) (+ (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 | ((* x (/ 1 (tan B))) (/ 1 2) (+ (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 | B | @ | -inf | ((* x (/ 1 (tan B))) (/ 1 2) (+ (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 | 8356 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.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 |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B)) |
(*.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 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 #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(*.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))) |
(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 #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))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
#s(literal 1/2 binary64) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.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 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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.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 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (*.f64 (fma.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 (neg.f64 x) (tan.f64 B))) (pow.f64 (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)) (/.f64 F (sin.f64 B))) (fma.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 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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.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 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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.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 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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (/.f64 x (tan.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)) (/.f64 F (sin.f64 B)))) (-.f64 (/.f64 x (tan.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)) (/.f64 F (sin.f64 B)))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.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)) (/.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 1 932 computations (89.6% saved)
26 alts after pruning (26 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 431 | 26 | 457 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 432 | 26 | 458 |
| Status | Accuracy | Program |
|---|---|---|
| 28.8% | (fma.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal 0 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)))) | |
| ▶ | 87.3% | (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))) |
| 87.2% | (fma.f64 (neg.f64 F) (*.f64 (/.f64 #s(literal -1 binary64) (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 (neg.f64 x) (tan.f64 B))) | |
| 66.3% | (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (tan.f64 B) (*.f64 (/.f64 (sin.f64 B) F) (neg.f64 x))) (*.f64 (/.f64 (sin.f64 B) F) (tan.f64 B))) | |
| 77.4% | (/.f64 (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)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 80.6% | (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (*.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)))))) | |
| ▶ | 81.0% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.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)) (/.f64 (sin.f64 B) F))) |
| 87.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (sin.f64 B))) | |
| 87.1% | (+.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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))) | |
| 80.4% | (+.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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) | |
| 52.1% | (+.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))) (/.f64 #s(literal -1 binary64) F)))) | |
| 80.4% | (+.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))))))) | |
| ▶ | 55.6% | (+.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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
| ▶ | 48.5% | (+.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 (*.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)) B))) |
| 54.9% | (+.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 #s(literal 1 binary64) (sin.f64 B)))) | |
| 58.5% | (+.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)))) | |
| 60.8% | (+.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)))) (*.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)))))))) | |
| 53.0% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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)))))) | |
| 58.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 40.2% | #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)) | |
| 40.1% | #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)) | |
| 40.3% | #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)) | |
| ▶ | 40.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.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)) |
| 54.9% | #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))))) | |
| 31.7% | #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)))) | |
| 54.9% | #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 1 920 to 1 316 computations (31.5% 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 | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.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)) (/.f64 (sin.f64 B) F))) | |
| cost-diff | 2 | (*.f64 x (/.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 | 1 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) | |
| cost-diff | 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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) | |
| cost-diff | 2 | (*.f64 x (/.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 | 1 | (+.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 (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)) B))) | |
| cost-diff | 2 | (/.f64 (*.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)) B) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| 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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 571 |
| 0 | 93 | 556 |
| 1 | 156 | 541 |
| 2 | 254 | 541 |
| 3 | 450 | 536 |
| 4 | 751 | 536 |
| 5 | 1158 | 536 |
| 6 | 2037 | 533 |
| 7 | 4146 | 533 |
| 8 | 6254 | 533 |
| 9 | 7910 | 533 |
| 0 | 8044 | 530 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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))) |
(/.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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 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)) |
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 |
(+.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 (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)) 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 (*.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)) B)) |
(/.f64 (*.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)) B) |
(*.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)) |
(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) |
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) |
(*.f64 B B) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #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 #s(literal 2 binary64) x #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 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(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))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.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)) (/.f64 (sin.f64 B) F))) |
(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 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal -1/2 binary64) |
(/.f64 (sin.f64 B) F) |
(sin.f64 B) |
| Outputs |
|---|
(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))) |
(fma.f64 (/.f64 F (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)) (/.f64 (neg.f64 x) (tan.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)) |
(/.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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 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)) |
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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(neg.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 (*.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)) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F)) (/.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 (*.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)) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F)) |
(/.f64 (*.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)) B) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F) |
(*.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)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) |
(*.f64 B B) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 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 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 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 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))) |
(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 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.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)) (/.f64 (sin.f64 B) F))) |
(fma.f64 (/.f64 F (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)) (/.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 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) |
(*.f64 (/.f64 F (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)) |
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 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) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal -1/2 binary64) |
(/.f64 (sin.f64 B) F) |
(sin.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15234375 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.1875 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 5.925955636026218 | (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) | |
| accuracy | 10.749622158312425 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) | |
| accuracy | 0.15234375 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.1875 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 6.185759280228774 | (*.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 #s(literal 2 binary64) x #s(literal 2 binary64)))))) | |
| accuracy | 23.770185958400823 | #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 4.06255751318024 | (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) | |
| accuracy | 9.529535983979203 | (/.f64 (*.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)) B) | |
| accuracy | 10.464461135107836 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 27.659473712365617 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) 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 | 0.291028225117278 | (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) | |
| accuracy | 10.464461135107836 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 28.38756826487556 | #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 | 0.10775375976844201 | (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))) | |
| accuracy | 0.1171875 | (/.f64 (neg.f64 x) (tan.f64 B)) | |
| accuracy | 0.2890625 | (/.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)) | |
| accuracy | 10.749622158312425 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
| 158.0ms | 224× | 0 | valid |
| 13.0ms | 31× | 0 | invalid |
| 1.0ms | 1× | 5 | exit |
Compiled 561 to 49 computations (91.3% saved)
ival-mult: 62.0ms (48.3% of total)ival-div: 20.0ms (15.6% of total)ival-pow: 11.0ms (8.6% of total)ival-add: 11.0ms (8.6% of total)ival-sin: 6.0ms (4.7% of total)ival-tan: 5.0ms (3.9% of total)ival-sqrt: 5.0ms (3.9% of total)const: 4.0ms (3.1% of total)ival-neg: 3.0ms (2.3% of total)adjust: 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)| Inputs |
|---|
(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))) |
(/.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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(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 (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 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 (*.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)) 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 (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)) B))) |
(neg.f64 (*.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 #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))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.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)) (/.f64 (sin.f64 B) F))) |
(/.f64 #s(literal 1 binary64) (tan.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)))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B)) |
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #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 #s(literal 2 binary64) x #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 (sin.f64 B) F)) |
| 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) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (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 (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))))))))))) |
(* F (+ 1 (* 1/6 (pow B 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))) |
(/ (+ (* -1/2 (/ (+ 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))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 B))))) |
(/ 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 (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 (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)) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* 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)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 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))) |
(* -1 (* F (- (* -1/6 (pow B 2)) 1))) |
(/ (+ (* -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) |
(/ 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 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) |
(/ (- (* 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) (* 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) |
(/ (+ (* 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 |
(+ F (* 1/6 (* (pow B 2) F))) |
(+ (* -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))) |
(/ (* x (cos B)) (sin B)) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* 1/6 (* (pow B 2) F)) |
(* (pow B 2) (+ (* 1/6 F) (/ F (pow B 2)))) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (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 (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
(/ 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 (* (/ (* 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 (/ 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)) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))))) |
(/ 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) |
(/ (+ 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) |
(* (/ (* 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))))) |
(* (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))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(* -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 (/ (- (* 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)) |
(* (/ (* 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 | |
|---|---|---|---|---|
| 25.0ms | x | @ | -inf | ((+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (/ 1 (tan B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (* (* B B) (* 1/6 F)) F) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) |
| 15.0ms | B | @ | 0 | ((+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (/ 1 (tan B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (* (* B B) (* 1/6 F)) F) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) |
| 12.0ms | x | @ | inf | ((+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (/ 1 (tan B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (* (* B B) (* 1/6 F)) F) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) |
| 5.0ms | x | @ | 0 | ((+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (/ 1 (tan B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (* (* B B) (* 1/6 F)) F) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) |
| 5.0ms | F | @ | 0 | ((+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (/ 1 (tan B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (+ (* (* B B) (* 1/6 F)) F) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1123 | 9461 |
| 1 | 3582 | 8978 |
| 0 | 9125 | 8151 |
| 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) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (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 (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))))))))))) |
(* F (+ 1 (* 1/6 (pow B 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))) |
(/ (+ (* -1/2 (/ (+ 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))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 B))))) |
(/ 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 (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 (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)) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* 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)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 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))) |
(* -1 (* F (- (* -1/6 (pow B 2)) 1))) |
(/ (+ (* -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) |
(/ 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 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) |
(/ (- (* 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) (* 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) |
(/ (+ (* 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 |
(+ F (* 1/6 (* (pow B 2) F))) |
(+ (* -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))) |
(/ (* x (cos B)) (sin B)) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(* 1/6 (* (pow B 2) F)) |
(* (pow B 2) (+ (* 1/6 F) (/ F (pow B 2)))) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (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 (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
(/ 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 (* (/ (* 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 (/ 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)) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))))) |
(/ 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) |
(/ (+ 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) |
(* (/ (* 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))))) |
(* (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))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(* -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 (/ (- (* 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)) |
(* (/ (* 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))) |
(+ (* -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 (*.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 (*.f64 F F) #s(literal 3/8 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)))) (*.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))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #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)))))) |
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #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 #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)))))))))) |
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(* -1 x) |
(neg.f64 x) |
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(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
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(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
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(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(/ 1 (+ 2 (* 2 x))) |
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
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(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
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(* 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))))))))) |
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(* 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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(* F (+ 1 (* 1/6 (pow B 2)))) |
(*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) |
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F |
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(* 2 x) |
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(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) B) (/.f64 #s(literal 1 binary64) 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)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F B)) (/.f64 (*.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)))) (*.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))))) (+ (* 1/16 (* (/ (* 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)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F B)) (/.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 F B)) (/.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.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 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (neg.f64 F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(* -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))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) F) (/.f64 (*.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)))))) 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))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) F) (/.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) F) (/.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) x))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) B)) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) B)) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) B)) (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) B) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) B)) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) 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)))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.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))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 F (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) |
(* -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)) 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 #s(literal -1/4 binary64) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 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 (fma.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 #s(literal -1/8 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 x)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) |
(* (/ (* 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 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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)))) (*.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 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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)))) (/.f64 (fma.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)) (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 383 |
| 0 | 93 | 362 |
| 1 | 377 | 339 |
| 2 | 3116 | 339 |
| 0 | 8358 | 339 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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))) |
(/.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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(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 (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 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 (*.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)) 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 (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)) B))) |
(neg.f64 (*.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 #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))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.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)) (/.f64 (sin.f64 B) F))) |
(/.f64 #s(literal 1 binary64) (tan.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)))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B)) |
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #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 #s(literal 2 binary64) x #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 (sin.f64 B) F)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 B) 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 (neg.f64 x) (tan.f64 B)) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) #s(literal -1 binary64))) |
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(/.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)) (pow.f64 F #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (neg.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 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 B)) F)) (/.f64 (neg.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))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
Compiled 64 923 to 4 915 computations (92.4% saved)
50 alts after pruning (50 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 314 | 45 | 1 359 |
| Fresh | 16 | 5 | 21 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 335 | 50 | 1 385 |
| Status | Accuracy | Program |
|---|---|---|
| 57.0% | (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 87.1% | (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 48.6% | (fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B))) | |
| 87.3% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 67.4% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 77.6% | (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))) | |
| 59.8% | (/.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B)) (*.f64 (tan.f64 B) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| ▶ | 87.3% | (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 81.0% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) | |
| 55.6% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) | |
| 87.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (sin.f64 B))) | |
| 52.1% | (+.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))) (/.f64 #s(literal -1 binary64) F)))) | |
| 30.9% | (+.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 (+ (* 2 x) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) | |
| 55.9% | (+.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 (+ (* 2 x) 2)) #s(literal 1/2 binary64)))))) | |
| 54.9% | (+.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 #s(literal 1 binary64) (sin.f64 B)))) | |
| 58.5% | (+.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)))) | |
| 60.8% | (+.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)))) (*.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)))))))) | |
| 26.4% | (+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))) | |
| ▶ | 38.2% | (+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
| 39.5% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) | |
| 39.9% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))) | |
| 40.1% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) | |
| 40.1% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) | |
| 40.2% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) | |
| 40.3% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) | |
| ▶ | 53.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
| 37.3% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) | |
| 40.4% | (+.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 (*.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)) B))) | |
| 58.5% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 55.6% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan 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))))) | |
| 40.3% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64))) x) B)) | |
| 54.9% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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)))) | |
| 31.7% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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)))) | |
| 54.9% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 40.9% | #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 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)) | |
| 28.3% | #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)) | |
| 26.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B)) | |
| 40.9% | #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 20.5% | #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)) (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)) | |
| 24.5% | #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)) (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)) | |
| 29.8% | #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 #s(literal 1 binary64) x)) B)) | |
| 31.3% | #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 #s(literal -1 binary64) x)) B)) | |
| 15.1% | #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) | |
| ▶ | 28.5% | #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)) (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 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)))) | |
| 40.9% | #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))) | |
| 27.1% | #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 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B)))) | |
| ▶ | 16.3% | #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)))) |
| 21.4% | #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)))) | |
| 13.1% | #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)))) |
Compiled 4 528 to 2 974 computations (34.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x B) | |
| cost-diff | 0 | #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) | |
| cost-diff | 0 | (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) | |
| cost-diff | 1 | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) | |
| 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 | 1 | (+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 4 | (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)) | |
| 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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 577 |
| 0 | 113 | 558 |
| 1 | 188 | 537 |
| 2 | 323 | 537 |
| 3 | 617 | 531 |
| 4 | 1235 | 531 |
| 5 | 3286 | 525 |
| 0 | 8195 | 525 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
F |
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 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)) |
(sin.f64 B) |
B |
(/.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))))) #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 (/ (+ (* (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))) |
(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)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F F)) |
#s(literal 1/2 binary64) |
(*.f64 F F) |
F |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
B |
(/.f64 (-.f64 #s(literal -1 binary64) x) B) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 B B) |
#s(literal 1/6 binary64) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
B |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal -1/2 binary64) |
(/.f64 (sin.f64 B) F) |
(sin.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (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 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
F |
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (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))) |
(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)) |
(sin.f64 B) |
B |
(/.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))))) #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) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) B) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))))) |
#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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) B) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) |
(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)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) B) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F F)) |
#s(literal 1/2 binary64) |
(*.f64 F F) |
F |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
B |
(/.f64 (-.f64 #s(literal -1 binary64) x) B) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 B B) |
#s(literal 1/6 binary64) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(-.f64 (*.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))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
B |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) |
(*.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))) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal -1/2 binary64) |
(/.f64 (sin.f64 B) F) |
(sin.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (/.f64 (sin.f64 B) F) | |
| accuracy | 7.373768624269794 | (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) | |
| accuracy | 15.65198342430933 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) | |
| accuracy | 32.641592474620666 | #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) | |
| accuracy | 0.21484375 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 15.034983608272938 | (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) | |
| accuracy | 32.27204369810088 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) | |
| accuracy | 48.73271959028803 | #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) | |
| accuracy | 0.6151926749822525 | (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) | |
| accuracy | 8.76612046718722 | (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)) | |
| accuracy | 33.01182038492479 | #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)))) | |
| accuracy | 37.55772653162487 | #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))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.046875 | (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) | |
| accuracy | 28.584486933834302 | #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) | |
| accuracy | 33.01182038492479 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 | 0.1796875 | (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 1.4278545887950171 | (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| accuracy | 15.620175399766147 | (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
| 214.0ms | 256× | 0 | valid |
Compiled 455 to 62 computations (86.4% saved)
ival-mult: 69.0ms (41.4% of total)ival-pow: 35.0ms (21% of total)ival-div: 24.0ms (14.4% of total)ival-add: 13.0ms (7.8% of total)ival-sin: 6.0ms (3.6% of total)ival-tan: 5.0ms (3% of total)const: 4.0ms (2.4% of total)ival-sqrt: 4.0ms (2.4% of total)ival-neg: 3.0ms (1.8% of total)ival-sub: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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) |
(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 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#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))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
(/.f64 x (tan.f64 B)) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 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 (sin.f64 B) F)) |
(/.f64 (sin.f64 B) F) |
| 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))) |
(* (/ 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))))))))))) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* 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))))))))) |
(* F (+ (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)))))))))) |
(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) |
(* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) |
(/ (+ (* -1 (/ (* (pow F 2) (+ 1 x)) B)) (* 1/2 (/ (+ 2 (* 2 x)) B))) (pow F 2)) |
(/ 1/2 (pow F 2)) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) 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))))))))) |
(/ (sin B) F) |
(- (/ 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 (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 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 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 (+ (* -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 |
(* 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 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 B))))) |
(/ 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 (+ (/ 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 (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 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 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) |
(- (+ (* 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) |
(* -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)) (+ (* 1/2 (/ (+ 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)) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* 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)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 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)) |
(/ (- (* 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 (+ 1 x)) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 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) |
(/ B F) |
(* B (+ (* -1/6 (/ (pow B 2) F)) (/ 1 F))) |
(* B (+ (* (pow B 2) (- (* 1/120 (/ (pow B 2) F)) (* 1/6 (/ 1 F)))) (/ 1 F))) |
(* B (+ (* (pow B 2) (- (* (pow B 2) (+ (* -1/5040 (/ (pow B 2) F)) (* 1/120 (/ 1 F)))) (* 1/6 (/ 1 F)))) (/ 1 F))) |
(- (* (/ 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)))))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* 1/6 B) |
(* B (+ 1/6 (/ 1 (pow B 2)))) |
(* -1 (/ (+ 1 (+ x (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) B)) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (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))))) (/ (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)))))) |
(+ (* -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)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 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))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* 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)))))))))) |
(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))))) (* 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 (* B (pow F 2))) (/ 1 B)) |
(- (+ (* x (- (/ 1 (* B (pow F 2))) (/ 1 B))) (/ 1 (* B (pow F 2)))) (/ 1 B)) |
(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) 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))))))))) |
(* 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)))) |
(* (/ (* 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)))))) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (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)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* (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 (- (/ 1 (* B (pow F 2))) (/ 1 B))) |
(* x (- (+ (/ 1 (* B (* (pow F 2) x))) (/ 1 (* B (pow F 2)))) (+ (/ 1 B) (/ 1 (* B x))))) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 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))))) |
(* -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))))) |
(* (/ (* 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))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -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)))) |
(+ (* -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))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (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))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -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))))) |
(* -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 B) (/ 1 (* B (pow F 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (* B (pow F 2))) (/ 1 B)) x)) (/ 1 B)) (/ 1 (* B (pow F 2)))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 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))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | F | @ | inf | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* 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)) (neg x) (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (+ (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) (/ 1/2 (* F 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)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (/ x B) (/ x (tan B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F)) (/ (sin B) F)) |
| 6.0ms | x | @ | -inf | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* 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)) (neg x) (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (+ (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) (/ 1/2 (* F 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)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (/ x B) (/ x (tan B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F)) (/ (sin B) F)) |
| 5.0ms | B | @ | -inf | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* 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)) (neg x) (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (+ (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) (/ 1/2 (* F 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)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (/ x B) (/ x (tan B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F)) (/ (sin B) F)) |
| 5.0ms | B | @ | inf | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* 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)) (neg x) (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (+ (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) (/ 1/2 (* F 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)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (/ x B) (/ x (tan B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F)) (/ (sin B) F)) |
| 5.0ms | x | @ | inf | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* 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)) (neg x) (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (+ (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) (/ 1/2 (* F 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)) (+ (neg (* x (/ 1 (tan B)))) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F))) (neg (* x (/ 1 (tan B)))) (* x (/ 1 (tan B))) (/ x B) (/ x (tan B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/ (sin B) F)) (/ (sin B) F)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1036 | 8454 |
| 1 | 3361 | 8234 |
| 0 | 8352 | 7471 |
| 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))) |
(* (/ 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))))))))))) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* 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))))))))) |
(* F (+ (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)))))))))) |
(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) |
(* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) |
(/ (+ (* -1 (/ (* (pow F 2) (+ 1 x)) B)) (* 1/2 (/ (+ 2 (* 2 x)) B))) (pow F 2)) |
(/ 1/2 (pow F 2)) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) 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))))))))) |
(/ (sin B) F) |
(- (/ 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 (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 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 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 (+ (* -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 |
(* 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 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 B))))) |
(/ 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 (+ (/ 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 (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 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 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) |
(- (+ (* 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) |
(* -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)) (+ (* 1/2 (/ (+ 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)) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* 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)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 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)) |
(/ (- (* 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 (+ 1 x)) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 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) |
(/ B F) |
(* B (+ (* -1/6 (/ (pow B 2) F)) (/ 1 F))) |
(* B (+ (* (pow B 2) (- (* 1/120 (/ (pow B 2) F)) (* 1/6 (/ 1 F)))) (/ 1 F))) |
(* B (+ (* (pow B 2) (- (* (pow B 2) (+ (* -1/5040 (/ (pow B 2) F)) (* 1/120 (/ 1 F)))) (* 1/6 (/ 1 F)))) (/ 1 F))) |
(- (* (/ 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)))))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* 1/6 B) |
(* B (+ 1/6 (/ 1 (pow B 2)))) |
(* -1 (/ (+ 1 (+ x (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))) B)) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (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))))) (/ (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)))))) |
(+ (* -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)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 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))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* 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)))))))))) |
(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))))) (* 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 (* B (pow F 2))) (/ 1 B)) |
(- (+ (* x (- (/ 1 (* B (pow F 2))) (/ 1 B))) (/ 1 (* B (pow F 2)))) (/ 1 B)) |
(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) 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))))))))) |
(* 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)))) |
(* (/ (* 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)))))) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (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)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) |
(* (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 (- (/ 1 (* B (pow F 2))) (/ 1 B))) |
(* x (- (+ (/ 1 (* B (* (pow F 2) x))) (/ 1 (* B (pow F 2)))) (+ (/ 1 B) (/ 1 (* B x))))) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 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))))) |
(* -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))))) |
(* (/ (* 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))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -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)))) |
(+ (* -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))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (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))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -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))))) |
(* -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 B) (/ 1 (* B (pow F 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (* B (pow F 2))) (/ 1 B)) x)) (/ 1 B)) (/ 1 (* B (pow F 2)))))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 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))))) |
| 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 (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 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 (*.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 (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 (/.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)))) |
(* (/ 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 #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) |
(* 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 3 binary64)))) (sin.f64 B)) #s(literal -1/2 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) |
(* 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 5 binary64)))) (sin.f64 B)) #s(literal 3/8 binary64) (*.f64 (/.f64 (*.f64 #s(literal -5/16 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 7 binary64)))))) (*.f64 F F) (*.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 (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (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)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(*.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) |
(* 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))))))))) |
(*.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) |
(* F (+ (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)))))))))) |
(*.f64 (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))))) F) |
(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)))))) |
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #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 #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)) |
(* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B)) |
(/ (+ (* -1 (/ (* (pow F 2) (+ 1 x)) B)) (* 1/2 (/ (+ 2 (* 2 x)) B))) (pow F 2)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) #s(literal 1/2 binary64) (*.f64 (*.f64 F F) (/.f64 (-.f64 #s(literal -1 binary64) x) B))) (*.f64 F F)) |
(/ 1/2 (pow F 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F F)) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (*.f64 F (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 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))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 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 F F) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(sqrt (/ 1 (+ 2 (* 2 x)))) |
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1 |
#s(literal 1 binary64) |
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F |
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(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
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(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
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(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) |
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(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* 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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(+ (* -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))))) |
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(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (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))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -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))))) |
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(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -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))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -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)))))))) |
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(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) B) (/.f64 #s(literal 1 binary64) 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)))) |
(*.f64 (neg.f64 x) (-.f64 (/.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)))) (*.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))))) (+ (* 1/16 (* (/ (* 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)))) |
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(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(* -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))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.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))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 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)))) (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))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B (pow F 2)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (* B (pow F 2))) (/ 1 B)) x)) (/ 1 B)) (/ 1 (* B (pow F 2)))))) |
(*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal 1/16 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 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) #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 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B)) (sqrt.f64 x)) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) |
(+ (* -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))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (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 (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) |
(+ (* -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))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) #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))) (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 (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))))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 496 |
| 0 | 113 | 452 |
| 1 | 493 | 434 |
| 2 | 4139 | 434 |
| 0 | 8236 | 434 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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) |
(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 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
#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))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 F 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
(/.f64 x (tan.f64 B)) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 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 (sin.f64 B) F)) |
(/.f64 (sin.f64 B) F) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (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 (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 x (tan.f64 B))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (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 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 x (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 x (tan.f64 B)) (fma.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 x (tan.f64 B))) (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 x (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (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 (*.f64 F (tan.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)) (pow.f64 (*.f64 (tan.f64 B) (sin.f64 B)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.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 x (tan.f64 B))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (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)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (fma.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 x (tan.f64 B))) (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -2 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 x (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (-.f64 (/.f64 (*.f64 F (tan.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (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))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 x (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 F (tan.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (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)))) (neg.f64 (fma.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 x (tan.f64 B))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 x (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x (tan.f64 B)) (fma.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 x (tan.f64 B))) (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 x (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (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))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 F (tan.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x))) (neg.f64 (*.f64 (tan.f64 B) (sin.f64 B)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (tan.f64 B))) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))) |
(/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (*.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (tan.f64 B)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) (*.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (tan.f64 B)) (*.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) (*.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B))) |
(/.f64 (-.f64 (*.f64 F (neg.f64 (tan.f64 B))) (*.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) (*.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (tan.f64 B)))) |
(/.f64 (-.f64 (*.f64 F (/.f64 (tan.f64 B) x)) (*.f64 (*.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))) (*.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 (*.f64 F (tan.f64 B)) (*.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) (*.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (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))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (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))) (fma.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 x (tan.f64 B)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (tan.f64 B)) (fma.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 x (tan.f64 B))) (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (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)))) |
(/.f64 (-.f64 (/.f64 (*.f64 F (tan.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)) (*.f64 (tan.f64 B) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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 x (tan.f64 B))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (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))))) |
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(/.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)) (pow.f64 F #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) F)) |
(/.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (sin.f64 B)) F)) |
(/.f64 (neg.f64 F) (*.f64 (sin.f64 B) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 F) (neg.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #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 (sin.f64 B) F)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) F) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (sin.f64 B) F))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) |
(neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (sin.f64 B)) F))) |
(neg.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (sin.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 F) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 F #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 F) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 F) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(*.f64 (pow.f64 F #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 F #s(literal -1 binary64)) (sin.f64 B)) |
(*.f64 (neg.f64 (sin.f64 B)) (pow.f64 (neg.f64 F) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) F)) |
(*.f64 (sin.f64 B) (pow.f64 F #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 F (sin.f64 B)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 B) F) #s(literal 1 binary64)) |
(pow.f64 (/.f64 F (sin.f64 B)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (neg.f64 F))) |
(/.f64 (*.f64 (sin.f64 B) #s(literal 1 binary64)) F) |
(/.f64 (pow.f64 F #s(literal -1 binary64)) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 B)) (neg.f64 F)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (sin.f64 B)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 F (sin.f64 B))) |
(/.f64 (sin.f64 B) F) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 B)) F)) |
(exp.f64 (*.f64 (log.f64 (/.f64 F (sin.f64 B))) #s(literal -1 binary64))) |
Compiled 39 763 to 3 170 computations (92% saved)
64 alts after pruning (63 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 692 | 34 | 726 |
| Fresh | 16 | 29 | 45 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 712 | 64 | 776 |
| Status | Accuracy | Program |
|---|---|---|
| 57.0% | (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 48.6% | (fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B))) | |
| 67.4% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 59.8% | (/.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B)) (*.f64 (tan.f64 B) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| 77.6% | (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) | |
| 53.0% | (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) | |
| 56.8% | (-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| ▶ | 87.1% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 54.9% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| ▶ | 58.6% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 38.3% | (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) | |
| 81.0% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) | |
| 55.6% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) | |
| 38.2% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 38.3% | (+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 52.1% | (+.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))) (/.f64 #s(literal -1 binary64) F)))) | |
| 30.9% | (+.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 (+ (* 2 x) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) | |
| 55.9% | (+.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 (+ (* 2 x) 2)) #s(literal 1/2 binary64)))))) | |
| 58.5% | (+.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)))) | |
| 60.8% | (+.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)))) (*.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)))))))) | |
| 39.5% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) | |
| 39.9% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))) | |
| ▶ | 37.2% | (+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
| 40.1% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) | |
| 29.3% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 29.4% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 29.4% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 40.3% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) | |
| 29.5% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 53.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) | |
| 29.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) | |
| 32.7% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (/.f64 (sin.f64 B) F))) | |
| 53.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) | |
| 37.3% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) | |
| 40.4% | (+.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 (*.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)) B))) | |
| 29.6% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| ▶ | 29.5% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
| 58.5% | #s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 40.9% | #s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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)) | |
| 54.9% | #s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) | |
| 31.7% | #s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 54.9% | #s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 55.6% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan 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))))) | |
| 40.3% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64))) x) B)) | |
| 28.3% | #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)) | |
| 40.9% | #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 20.5% | #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)) (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)) | |
| 24.5% | #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)) (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)) | |
| 24.6% | #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 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) | |
| 29.8% | #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 #s(literal 1 binary64) x)) B)) | |
| ▶ | 31.3% | #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 #s(literal -1 binary64) x)) B)) |
| ✓ | 28.5% | #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)) (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 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)))) | |
| 28.4% | #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) | |
| 28.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) B))) | |
| 27.1% | #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 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B)))) | |
| 16.3% | #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) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) | |
| 21.4% | #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)))) | |
| 14.6% | #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) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B B)))) | |
| 13.1% | #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)))) | |
| 10.5% | #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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) | |
| 2.4% | #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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B))))) | |
| 11.9% | #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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) | |
| 20.5% | #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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)))))) |
Compiled 6 320 to 4 041 computations (36.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 B) | |
| cost-diff | 0 | #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 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 | 1 | (+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) | |
| cost-diff | 0 | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| cost-diff | 2 | (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) 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 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) | |
| cost-diff | 0 | #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 675 |
| 0 | 110 | 661 |
| 1 | 180 | 643 |
| 2 | 291 | 643 |
| 3 | 545 | 643 |
| 4 | 931 | 640 |
| 5 | 1801 | 634 |
| 6 | 3969 | 634 |
| 7 | 6282 | 634 |
| 0 | 8530 | 605 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) |
#s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) |
(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))) |
#s(literal 1 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal 2 binary64) |
(sin.f64 B) |
B |
(/.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 |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
#s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) |
x |
(fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 B B) |
B |
#s(literal -1 binary64) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))) |
#s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)) |
(*.f64 #s(literal 1/6 binary64) B) |
#s(literal 1/6 binary64) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) |
#s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) |
#s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) |
(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))) |
#s(literal 1 binary64) |
(fma.f64 F F #s(literal 2 binary64)) |
F |
#s(literal 2 binary64) |
(sin.f64 B) |
B |
(/.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 |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (neg (* x (/ 1 (tan B)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x))) |
#s(approx (neg (* x (/ 1 (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)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x)) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) x) |
x |
(fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64)) |
(fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 B B) |
B |
#s(literal -1 binary64) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) |
(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)) |
#s(literal 1/6 binary64) |
#s(literal 1 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))) |
#s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)) |
(*.f64 #s(literal 1/6 binary64) B) |
#s(literal 1/6 binary64) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) |
#s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) |
#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 | 0.01953125 | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| accuracy | 0.14453125 | (/.f64 x (tan.f64 B)) | |
| accuracy | 1.4278545887950171 | (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) | |
| accuracy | 44.73297170796334 | #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) | |
| accuracy | 0.33203125 | (*.f64 #s(literal 1/6 binary64) B) | |
| accuracy | 29.27255866413064 | #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)) | |
| accuracy | 32.27204369810088 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) | |
| accuracy | 48.73271959028803 | #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))) | |
| accuracy | 15.034983608272938 | (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) | |
| accuracy | 32.27204369810088 | #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) | |
| accuracy | 32.68571911450276 | #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) | |
| accuracy | 48.73271959028803 | #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) | |
| accuracy | 0.0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.046875 | (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) | |
| accuracy | 26.42535177603381 | #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 33.01182038492479 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 | 0.5826850907138443 | (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) | |
| accuracy | 1.4278545887950171 | (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) | |
| accuracy | 12.917778089407577 | #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) | |
| accuracy | 14.922229780774684 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
| 133.0ms | 256× | 0 | valid |
Compiled 453 to 58 computations (87.2% saved)
ival-mult: 30.0ms (28.4% of total)ival-div: 18.0ms (17% of total)ival-add: 18.0ms (17% of total)ival-pow: 11.0ms (10.4% of total)ival-sin: 6.0ms (5.7% of total)const: 6.0ms (5.7% of total)ival-tan: 5.0ms (4.7% of total)ival-sqrt: 5.0ms (4.7% of total)ival-neg: 3.0ms (2.8% of total)ival-sub: 2.0ms (1.9% 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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) |
#s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
#s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) |
(*.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) |
#s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) |
(sin.f64 B) |
(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))) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) |
#s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)) |
(*.f64 #s(literal 1/6 binary64) 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))) |
(* (/ 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))))))))))) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* 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))))))))) |
(* F (+ (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 (sqrt 1/2)) |
(* F (+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2))))) |
(* F (+ (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))))))) |
(* F (+ (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))))))) |
(* -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) |
(+ (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)))))) |
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 (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) 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))) |
(/ 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 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 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 (+ (* -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 (/ 1 (pow F 2))) |
(- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) |
(- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) |
(/ (- 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 (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 (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 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 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 (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 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 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) |
(- (+ (* 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) |
(- (/ 1 (pow F 2)) 1) |
(- (/ 1 (pow F 2)) (+ 1 (/ 3/2 (pow F 4)))) |
(- (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6)))) (+ 1 (/ 3/2 (pow F 4)))) |
(* -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 (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)) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* 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)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 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 x) (* 1/3 (* (pow B 2) 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 x) (* 1/3 (* (pow B 2) 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 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) |
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)))) |
(* 1/6 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)))))) |
(* 1/3 (* B x)) |
(* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(* 1/3 (* (pow B 2) x)) |
(* (pow B 2) (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(sin B) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* B (+ 1/6 (/ 1 (pow B 2)))) |
(* -1 (* B (+ (* -1/3 x) (/ x (pow B 2))))) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (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))))) (/ (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)))))) |
(+ (* -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)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 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))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* 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)))))))))) |
(* (/ 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))))) (* 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 x) 1) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) 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)))) |
(* (/ (* 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)))))) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (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)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 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)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) 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))))) |
(* (/ (* 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))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -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)))) |
(+ (* -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))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (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))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -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))))) |
(* -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) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 142.0ms | F | @ | -inf | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (sqrt (/ 1 (+ (* F F) 2))) F) (+ (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) (/ (* x (+ (* 1/3 (* B B)) -1)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (* x (+ (* 1/3 (* B B)) -1)) (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B) (sqrt (/ 1 (+ (* F F) 2))) (/ 1 (+ (* F F) 2)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (* 1/6 B) (/ x (tan B))) |
| 93.0ms | x | @ | 0 | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (sqrt (/ 1 (+ (* F F) 2))) F) (+ (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) (/ (* x (+ (* 1/3 (* B B)) -1)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (* x (+ (* 1/3 (* B B)) -1)) (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B) (sqrt (/ 1 (+ (* F F) 2))) (/ 1 (+ (* F F) 2)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (* 1/6 B) (/ x (tan B))) |
| 4.0ms | B | @ | -inf | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (sqrt (/ 1 (+ (* F F) 2))) F) (+ (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) (/ (* x (+ (* 1/3 (* B B)) -1)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (* x (+ (* 1/3 (* B B)) -1)) (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B) (sqrt (/ 1 (+ (* F F) 2))) (/ 1 (+ (* F F) 2)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (* 1/6 B) (/ x (tan B))) |
| 4.0ms | x | @ | -inf | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (sqrt (/ 1 (+ (* F F) 2))) F) (+ (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) (/ (* x (+ (* 1/3 (* B B)) -1)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (* x (+ (* 1/3 (* B B)) -1)) (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B) (sqrt (/ 1 (+ (* F F) 2))) (/ 1 (+ (* F F) 2)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (* 1/6 B) (/ x (tan B))) |
| 4.0ms | B | @ | inf | ((- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (sqrt (/ 1 (+ (* F F) 2))) F) (+ (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) (/ (* x (+ (* 1/3 (* B B)) -1)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (* x (+ (* 1/3 (* B B)) -1)) (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B) (sqrt (/ 1 (+ (* F F) 2))) (/ 1 (+ (* F F) 2)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* (* B B) 1/6) 1) B) (* 1/6 B) (/ x (tan B))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 937 | 7246 |
| 1 | 3058 | 6858 |
| 0 | 9112 | 6261 |
| 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))) |
(* (/ 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))))))))))) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(* 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))))))))) |
(* F (+ (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 (sqrt 1/2)) |
(* F (+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2))))) |
(* F (+ (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))))))) |
(* F (+ (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))))))) |
(* -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) |
(+ (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)))))) |
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 (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) 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))) |
(/ 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 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) |
(+ 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 (+ (* -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 (/ 1 (pow F 2))) |
(- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) |
(- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) |
(/ (- 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 (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 (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 (* 1/6 (pow B 2))) B) |
(+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 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)))) (+ (* 1/6 B) (/ 1 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 (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 |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 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) |
(- (+ (* 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) |
(- (/ 1 (pow F 2)) 1) |
(- (/ 1 (pow F 2)) (+ 1 (/ 3/2 (pow F 4)))) |
(- (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6)))) (+ 1 (/ 3/2 (pow F 4)))) |
(* -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 (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)) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (* -1/6 B)) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 4)))) (* -1/6 B))) (/ 1 B)) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (* 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)) (- (* -1/6 (pow B 2)) 1)) (* B (pow F 6)))) (* -1/6 B)))) (/ 1 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 x) (* 1/3 (* (pow B 2) 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 x) (* 1/3 (* (pow B 2) 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 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) |
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)))) |
(* 1/6 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)))))) |
(* 1/3 (* B x)) |
(* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(* 1/3 (* (pow B 2) x)) |
(* (pow B 2) (+ (* -1 (/ x (pow B 2))) (* 1/3 x))) |
(/ (* x (cos B)) (sin B)) |
(/ (cos B) (sin B)) |
(sin B) |
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) |
(* B (+ 1/6 (/ 1 (pow B 2)))) |
(* -1 (* B (+ (* -1/3 x) (/ x (pow B 2))))) |
(* -1 (* B (+ (* -1 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* -1/6 (* F (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))))) (/ (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)))))) |
(+ (* -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)))))) |
(* F (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 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))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) |
(+ (* 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)))))))))) |
(* (/ 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))))) (* 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 x) 1) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* -1 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (+ (* -1 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* x (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ (+ F (* 1/6 (* (pow B 2) F))) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ (+ F (* 1/6 (* (pow B 2) 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)))) |
(* (/ (* 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)))))) |
(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (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)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 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)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))))) |
(+ (* -1/2 (* (/ (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) 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))))) |
(* (/ (* 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))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(+ (* -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)))) |
(+ (* -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))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (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))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -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))))) |
(* -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) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) 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 (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 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 #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)))) |
(* (/ 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) |
(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (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)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) |
(*.f64 (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) |
(* 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))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 F F) #s(literal 3/8 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)))) (*.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) |
(* F (+ (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)))))))))) |
(*.f64 (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))))) F) |
(* F (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) |
(* F (+ (sqrt 1/2) (* -1/8 (/ (pow F 2) (sqrt 1/2))))) |
(*.f64 (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))) F) |
(* F (+ (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 (pow.f64 F #s(literal 3 binary64)) (fma.f64 (*.f64 F F) (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) |
(* F (+ (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 (pow.f64 F #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -5/256 binary64) (*.f64 F F)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 F F) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) |
(* -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 #s(literal 2 binary64) x #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 #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 (*.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 (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 (*.f64 F F) #s(literal 3/8 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)))) (*.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)) |
(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 F F) (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #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 (+.f64 (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -5/256 binary64) (*.f64 F F)) (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))) |
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 (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (*.f64 F (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (pow.f64 F #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 F F) (*.f64 #s(literal 3/8 binary64) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 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 F (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
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(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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)))) (*.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 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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)))) (/.f64 (fma.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 (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)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.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))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) |
(+ (* -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)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) F) (/.f64 (*.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)))))) |
(+ (* -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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) F) (/.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) F) (/.f64 (*.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))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (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))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -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))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) F) (/.f64 (*.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)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (/.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 (*.f64 (*.f64 #s(literal 1/2 binary64) F) (/.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)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) B) (/.f64 #s(literal 1 binary64) 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)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F B)) (/.f64 (*.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)))) (*.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))))) (+ (* 1/16 (* (/ (* 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)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F B)) (/.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 F B)) (/.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.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 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (neg.f64 F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(* -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))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) F) (/.f64 (*.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)))))) 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))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) F) (/.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) F) (/.f64 (*.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))))))) x))) |
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) B)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (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)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) B)) (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) B)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (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)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) B) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) B)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (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)))) (/.f64 (fma.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 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) 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 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F)) (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 | 80 | 623 |
| 0 | 110 | 593 |
| 1 | 456 | 559 |
| 2 | 3545 | 559 |
| 0 | 8897 | 539 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) |
#s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
#s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) |
(*.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) |
#s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) |
(sin.f64 B) |
(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))) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) |
#s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)) |
(*.f64 #s(literal 1/6 binary64) B) |
(/.f64 x (tan.f64 B)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (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 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (tan.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (*.f64 (sin.f64 B) x))) (pow.f64 (*.f64 (tan.f64 B) (sin.f64 B)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #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) (sin.f64 B)) (fma.f64 (tan.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (*.f64 (sin.f64 B) x)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (tan.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (*.f64 (sin.f64 B) x))) (sin.f64 B))) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (tan.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (*.f64 (sin.f64 B) x))))) (neg.f64 (neg.f64 (*.f64 (tan.f64 B) (sin.f64 B))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x)))) (neg.f64 (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x))) (neg.f64 (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (tan.f64 B))) (*.f64 (sin.f64 B) (neg.f64 x)))) (neg.f64 (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64)))) (neg.f64 (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (tan.f64 B))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (tan.f64 B) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (tan.f64 B)) (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) x))) (neg.f64 (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (tan.f64 B)))) |
(/.f64 (/.f64 (fma.f64 (tan.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (*.f64 (sin.f64 B) x))) (sin.f64 B)) (tan.f64 B)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (tan.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (*.f64 (sin.f64 B) x)))) (neg.f64 (*.f64 (tan.f64 B) (sin.f64 B)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (tan.f64 B))) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))) |
(/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 x))) (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (tan.f64 B)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (tan.f64 B)) (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) x)) (*.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) (tan.f64 B))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (tan.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (*.f64 (sin.f64 B) x))) (*.f64 (tan.f64 B) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (fma.f64 (tan.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (*.f64 (sin.f64 B) x)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (/.f64 F (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) |
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(pow.f64 (/.f64 (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 B #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) B) B #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 B #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 B #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) B) B))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 B)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 B)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) B) B #s(literal -1 binary64)) B))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 B #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) B) B))) B))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 B #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) B) B #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 B #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 B #s(literal -1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) B) B)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) #s(literal 1 binary64)) B) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))) (neg.f64 (neg.f64 B))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 B (fma.f64 (*.f64 #s(literal 1/6 binary64) B) B #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 B #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 B (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) B) B)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) B) B #s(literal -1 binary64)) B)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 B #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) B) B))) B)) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 B (fma.f64 (*.f64 #s(literal 1/6 binary64) B) B #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 B #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 B (fma.f64 #s(literal 1/36 binary64) (pow.f64 B #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) B) B))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) (neg.f64 B)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (neg.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) |
#s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)) |
(*.f64 #s(literal 1/6 binary64) B) |
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.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 (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 (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 #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 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.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 46 350 to 3 120 computations (93.3% saved)
71 alts after pruning (68 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 683 | 24 | 707 |
| Fresh | 14 | 44 | 58 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 700 | 71 | 771 |
| Status | Accuracy | Program |
|---|---|---|
| 57.0% | (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 48.6% | (fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B))) | |
| 58.5% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B))) | |
| 37.2% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) | |
| 67.4% | (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 59.8% | (/.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B)) (*.f64 (tan.f64 B) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| 26.1% | (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))) | |
| 50.4% | (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) | |
| 53.0% | (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) | |
| 56.8% | (-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 50.5% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 56.0% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 58.6% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) 2))) (/.f64 #s(literal -1 binary64) F)) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 54.9% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| ✓ | 58.6% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 57.3% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) | |
| 57.0% | (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) | |
| 37.3% | (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) (/.f64 x (tan.f64 B))) | |
| 81.0% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) | |
| 55.6% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) | |
| 37.2% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) | |
| 37.3% | (+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) | |
| 52.1% | (+.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))) (/.f64 #s(literal -1 binary64) F)))) | |
| 30.9% | (+.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 (+ (* 2 x) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) | |
| 60.8% | (+.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)))) (*.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)))))))) | |
| 39.9% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))) | |
| 40.1% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) | |
| 27.0% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) | |
| 27.1% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) | |
| 40.3% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) | |
| 27.2% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) | |
| 53.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) | |
| 29.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) | |
| 32.7% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (/.f64 (sin.f64 B) F))) | |
| 53.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) | |
| 40.4% | (+.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 (*.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)) B))) | |
| 29.6% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 27.1% | (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) | |
| 30.8% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) | |
| 29.5% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))))))) | |
| 23.5% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.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 #s(literal 1/6 binary64) F (/.f64 F (*.f64 B B)))) B)))) | |
| 28.3% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 binary64) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))) | |
| 9.7% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 9.8% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 58.5% | #s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| 54.9% | #s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) | |
| 31.7% | #s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) | |
| 54.9% | #s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 55.6% | #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan 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))))) | |
| 28.3% | #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)) | |
| 40.9% | #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 20.5% | #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)) (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)) | |
| 24.5% | #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)) (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)) | |
| 28.6% | #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B)) | |
| 24.6% | #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 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B)) | |
| 29.8% | #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 #s(literal 1 binary64) x)) B)) | |
| ✓ | 31.3% | #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 #s(literal -1 binary64) x)) B)) |
| ✓ | 28.5% | #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)) (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 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x)))) | |
| 31.2% | #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)) (-.f64 #s(literal -1 binary64) x))))) | |
| 28.4% | #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))) | |
| 28.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) B))) | |
| 27.1% | #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 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B)))) | |
| 16.3% | #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) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) | |
| 21.4% | #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)))) | |
| 14.6% | #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) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B B)))) | |
| 13.1% | #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)))) | |
| 10.5% | #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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) | |
| 2.4% | #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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B))))) | |
| 11.9% | #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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) | |
| 20.5% | #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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)))))) |
Compiled 9 943 to 2 916 computations (70.7% 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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)) |
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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)) |
(+.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 (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)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #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 (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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) 2))) (/.f64 #s(literal -1 binary64) F)) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 (+ (* 2 x) 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)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.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 (+ (* 2 x) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 (/.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 #s(literal 2 binary64) x #s(literal 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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B))) |
#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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(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))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (sin.f64 B))) |
(fma.f64 (neg.f64 F) (*.f64 (/.f64 #s(literal -1 binary64) (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 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.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)) (/.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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan 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))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (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 (/.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 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (*.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 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) |
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B)) (*.f64 (tan.f64 B) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (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)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (tan.f64 B) (*.f64 (/.f64 (sin.f64 B) F) (neg.f64 x))) (*.f64 (/.f64 (sin.f64 B) F) (tan.f64 B))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 B) #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal 0 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)))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(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))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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:
| 61.0ms | B |
| 38.0ms | (+.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)))))) |
| 35.0ms | x |
| 34.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | F |
| 87.3% | 1 | B |
| 87.3% | 1 | x |
| 89.9% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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)) |
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#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #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))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) |
(+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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)))))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 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 (*.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 (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 (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)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #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 (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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) 2))) (/.f64 #s(literal -1 binary64) F)) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 (+ (* 2 x) 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)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.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 (+ (* 2 x) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 (/.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 #s(literal 2 binary64) x #s(literal 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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B))) |
#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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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:
| 29.0ms | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B))))) |
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(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #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))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) |
(+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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)))))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 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 (*.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 (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 (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)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #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 (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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) 2))) (/.f64 #s(literal -1 binary64) F)) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 (+ (* 2 x) 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)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.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 (+ (* 2 x) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 (/.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 #s(literal 2 binary64) x #s(literal 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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B))) |
#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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) 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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) |
1 calls:
| 27.0ms | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 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 (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 (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 (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)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #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 (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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) 2))) (/.f64 #s(literal -1 binary64) F)) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 (+ (* 2 x) 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)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.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 (+ (* 2 x) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 (/.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 #s(literal 2 binary64) x #s(literal 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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
1 calls:
| 30.0ms | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
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(+.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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) 2))) (/.f64 #s(literal -1 binary64) F)) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 (+ (* 2 x) 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)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.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 (+ (* 2 x) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
1 calls:
| 27.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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)) |
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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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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)) |
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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))) (/.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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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 (/.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 (+ (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 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B 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 #s(literal 2 binary64) x #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 x #s(literal 2 binary64) (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
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(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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 (*.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)) 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 (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.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 #s(literal 1/6 binary64) F (/.f64 F (*.f64 B B)))) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #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 (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 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) 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 x #s(literal 2 binary64) (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))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #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))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) |
(+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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)))))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 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 (*.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 (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 (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)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #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 (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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) 2))) (/.f64 #s(literal -1 binary64) F)) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 (+ (* 2 x) 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)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.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 (+ (* 2 x) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
1 calls:
| 24.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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 (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 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) 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 x #s(literal 2 binary64) (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))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #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))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) |
(+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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)))))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 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 (*.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 (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 (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)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #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 (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 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) 2))) (/.f64 #s(literal -1 binary64) F)) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 (+ (* 2 x) 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)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
1 calls:
| 23.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 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 (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 (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 (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)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #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 (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)))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
1 calls:
| 22.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 5 | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 (+ (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 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B 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 #s(literal 2 binary64) x #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 x #s(literal 2 binary64) (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
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(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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 (*.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)) 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 (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.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 #s(literal 1/6 binary64) F (/.f64 F (*.f64 B B)))) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #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 (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 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) 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 x #s(literal 2 binary64) (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))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #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))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) |
(+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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)))))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 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 (*.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 (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 (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)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) |
4 calls:
| 22.0ms | B |
| 21.0ms | (+.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)))))) |
| 21.0ms | x |
| 21.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 3 | x |
| 71.2% | 3 | B |
| 81.6% | 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)))))) |
| 90.5% | 5 | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))))) |
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#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 x #s(literal 2 binary64) (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))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #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))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))) |
(+.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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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)))))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 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 (*.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 (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 (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)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (*.f64 F F)) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) |
1 calls:
| 20.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 5 | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B 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 #s(literal 2 binary64) x #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 x #s(literal 2 binary64) (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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 (*.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)) 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 (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.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 #s(literal 1/6 binary64) F (/.f64 F (*.f64 B B)))) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #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 (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 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) 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 x #s(literal 2 binary64) (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))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 #s(literal 2 binary64) x #s(literal 2 binary64))))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) |
3 calls:
| 24.0ms | F |
| 19.0ms | x |
| 17.0ms | (+.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 |
|---|---|---|
| 79.5% | 3 | x |
| 73.0% | 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)))))) |
| 78.4% | 5 | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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)) |
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#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (/.f64 (sin.f64 B) F))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) 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 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) |
2 calls:
| 20.0ms | F |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 4 | F |
| 75.3% | 4 | x |
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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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 (/.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 (+ (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)))) |
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(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B 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 #s(literal 2 binary64) x #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 x #s(literal 2 binary64) (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
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(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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 (*.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)) 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 (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.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 #s(literal 1/6 binary64) F (/.f64 F (*.f64 B B)))) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #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 (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 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) 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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))) |
| Outputs |
|---|
#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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) |
3 calls:
| 15.0ms | x |
| 15.0ms | B |
| 15.0ms | (+.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 |
|---|---|---|
| 66.8% | 2 | B |
| 57.0% | 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)))))) |
| 64.5% | 3 | x |
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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B 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 #s(literal 2 binary64) x #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 x #s(literal 2 binary64) (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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 (*.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)) 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 (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.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 #s(literal 1/6 binary64) F (/.f64 F (*.f64 B B)))) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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 (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #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 (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 |
|---|
#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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) (/.f64 x (tan.f64 B))) |
4 calls:
| 16.0ms | F |
| 15.0ms | B |
| 15.0ms | x |
| 14.0ms | (+.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 |
|---|---|---|
| 49.8% | 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)))))) |
| 51.3% | 3 | x |
| 49.9% | 3 | F |
| 51.0% | 2 | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B 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 #s(literal 2 binary64) x #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 x #s(literal 2 binary64) (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 B (*.f64 #s(literal 1/6 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 (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 (*.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)) 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 (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (-.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))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.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 #s(literal 1/6 binary64) F (/.f64 F (*.f64 B B)))) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
#s(approx (- (/ (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.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)) B))) |
| Outputs |
|---|
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) (/.f64 (-.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 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
3 calls:
| 20.0ms | x |
| 13.0ms | B |
| 13.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 3 | F |
| 40.9% | 1 | x |
| 40.9% | 1 | B |
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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B 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 #s(literal 2 binary64) x #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 x #s(literal 2 binary64) (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))))))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
| Outputs |
|---|
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) (/.f64 (-.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 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
1 calls:
| 12.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) B (*.f64 B (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 F F))))) (*.f64 B 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 #s(literal 2 binary64) x #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 x #s(literal 2 binary64) (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))))))) |
| Outputs |
|---|
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) (/.f64 (-.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 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
1 calls:
| 10.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (/.f64 (-.f64 #s(literal -1 binary64) x) B)))) |
| Outputs |
|---|
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
1 calls:
| 8.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) |
| Outputs |
|---|
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) (/.f64 (-.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 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
1 calls:
| 8.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 #s(approx (* x (+ (* 1/3 (* B B)) -1)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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 (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 |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (-.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 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
1 calls:
| 7.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 x #s(literal 2 binary64) (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)) (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 (+ (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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (-.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 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
1 calls:
| 7.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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)) |
| 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 (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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
1 calls:
| 6.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 (+ (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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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)) |
(+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
1 calls:
| 6.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
#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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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 (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 (+ (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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #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)) |
(+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
2 calls:
| 6.0ms | (+.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)))))) |
| 5.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.7% | 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)))))) |
| 44.4% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)) x)))) |
| 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)) |
(+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
1 calls:
| 30.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 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)) (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 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) 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))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (/ (* x (+ (* 1/3 (* B B)) -1)) B) (*.f64 (*.f64 B x) #s(literal 1/3 binary64)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 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)) (-.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)) |
1 calls:
| 4.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.2% | 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)) (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)) |
3 calls:
| 1.0ms | B |
| 1.0ms | x |
| 1.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.3% | 1 | B |
| 31.3% | 1 | x |
| 37.2% | 2 | F |
Compiled 3 to 9 computations (-200% 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)) (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)) |
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 | B |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.5% | 1 | B |
| 28.5% | 1 | x |
| 28.5% | 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)))))) |
| 28.5% | 1 | F |
Compiled 30 to 29 computations (3.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 750.3185620323688 | 1.1793951455710327e+23 |
| 10.0ms | -8.23935458955913e+34 | -7.566754352013523e+34 |
| 23.0ms | 128× | 0 | valid |
| 2.0ms | 12× | 0 | invalid |
Compiled 436 to 338 computations (22.5% saved)
ival-sin: 6.0ms (28.6% of total)ival-div: 3.0ms (14.3% of total)ival-mult: 3.0ms (14.3% of total)ival-tan: 3.0ms (14.3% of total)ival-pow: 3.0ms (14.3% of total)ival-add: 2.0ms (9.5% of total)ival-neg: 1.0ms (4.8% 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× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 750.3185620323688 | 1.1793951455710327e+23 |
| 7.0ms | -3.452318566305066e+45 | -2.3581788849023732e+42 |
| 18.0ms | 112× | 0 | valid |
| 1.0ms | 5× | 0 | invalid |
Compiled 719 to 556 computations (22.7% saved)
ival-mult: 3.0ms (19.7% of total)ival-tan: 3.0ms (19.7% of total)ival-div: 2.0ms (13.1% of total)ival-add: 2.0ms (13.1% of total)ival-sin: 2.0ms (13.1% of total)ival-pow: 2.0ms (13.1% of total)ival-neg: 1.0ms (6.6% 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 | 750.3185620323688 | 1.1793951455710327e+23 |
| 0.0ms | -3.452318566305066e+45 | -2.3581788849023732e+42 |
Compiled 354 to 274 computations (22.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 750.3185620323688 | 1.1793951455710327e+23 |
| 0.0ms | -3.452318566305066e+45 | -2.3581788849023732e+42 |
Compiled 576 to 468 computations (18.8% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 750.3185620323688 | 1.1793951455710327e+23 |
| 0.0ms | -8.23935458955913e+34 | -7.566754352013523e+34 |
Compiled 186 to 149 computations (19.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 5.378181636327444e-9 | 68.77031311063074 |
| 72.0ms | -55.41163971379368 | -4.797231333357755e-9 |
| 91.0ms | 320× | 0 | valid |
| 7.0ms | 46× | 0 | invalid |
Compiled 990 to 786 computations (20.6% saved)
ival-pow: 12.0ms (22.7% of total)ival-mult: 9.0ms (17% of total)ival-tan: 9.0ms (17% of total)ival-sin: 8.0ms (15.1% of total)ival-div: 7.0ms (13.2% of total)ival-add: 5.0ms (9.4% of total)ival-neg: 3.0ms (5.7% 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 |
|---|---|---|
| 18.0ms | 5.378181636327444e-9 | 68.77031311063074 |
| 5.0ms | -55.41163971379368 | -4.797231333357755e-9 |
| 13.0ms | 80× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 1 130 to 846 computations (25.1% saved)
ival-div: 2.0ms (18% of total)ival-mult: 2.0ms (18% of total)ival-sin: 2.0ms (18% of total)ival-tan: 2.0ms (18% of total)ival-pow: 2.0ms (18% of total)ival-add: 1.0ms (9% of total)ival-neg: 1.0ms (9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 750.3185620323688 | 1.1793951455710327e+23 |
| 44.0ms | 9.902925692335762e-129 | 6.381812984301904e-107 |
| 38.0ms | -4.084714934941805e-155 | -4.388938242975997e-173 |
| 34.0ms | -5.534804106783132e+31 | -3.272252302132333e+28 |
| 106.0ms | 608× | 0 | valid |
| 11.0ms | 76× | 0 | invalid |
Compiled 2 122 to 1 613 computations (24% saved)
ival-sin: 20.0ms (20.7% of total)ival-mult: 16.0ms (16.6% of total)ival-tan: 16.0ms (16.6% of total)ival-div: 14.0ms (14.5% of total)ival-pow: 12.0ms (12.4% of total)ival-add: 9.0ms (9.3% of total)ival-neg: 7.0ms (7.3% of total)ival-true: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 1.4774804164077966e+154 | 5.922707919831542e+155 |
| 2.0ms | 9.902925692335762e-129 | 6.381812984301904e-107 |
| 2.0ms | -4.084714934941805e-155 | -4.388938242975997e-173 |
| 1.0ms | -5.534804106783132e+31 | -3.272252302132333e+28 |
| 19.0ms | 112× | 0 | valid |
Compiled 2 190 to 1 602 computations (26.8% saved)
ival-mult: 3.0ms (18.7% of total)ival-tan: 3.0ms (18.7% of total)ival-div: 2.0ms (12.4% of total)ival-sin: 2.0ms (12.4% of total)ival-pow: 2.0ms (12.4% of total)ival-neg: 2.0ms (12.4% of total)ival-add: 1.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4774804164077966e+154 | 5.922707919831542e+155 |
| 2.0ms | 9.902925692335762e-129 | 6.381812984301904e-107 |
| 2.0ms | -4.084714934941805e-155 | -4.388938242975997e-173 |
| 26.0ms | -7.108031003999149e+83 | -3.445060600150258e+81 |
| 19.0ms | 112× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 2 242 to 1 622 computations (27.7% saved)
ival-div: 4.0ms (23.5% of total)ival-mult: 3.0ms (17.6% of total)ival-tan: 3.0ms (17.6% of total)ival-add: 2.0ms (11.8% of total)ival-sin: 2.0ms (11.8% of total)ival-pow: 2.0ms (11.8% 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× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 4.2202005391715146e-89 | 2.2863172627202994e-86 |
| 36.0ms | -2.5243838912523697e-9 | -9.003613680738901e-15 |
| 50.0ms | 272× | 0 | valid |
Compiled 965 to 740 computations (23.3% saved)
ival-mult: 11.0ms (26.2% of total)ival-sin: 6.0ms (14.3% of total)ival-tan: 6.0ms (14.3% of total)ival-div: 5.0ms (11.9% of total)ival-add: 5.0ms (11.9% of total)ival-pow: 5.0ms (11.9% of total)ival-neg: 2.0ms (4.8% 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 |
|---|---|---|
| 8.0ms | 4.2202005391715146e-89 | 2.2863172627202994e-86 |
| 25.0ms | -2.5450096660423806e-153 | -1.6094659769411805e-155 |
| 2.0ms | -2.5243838912523697e-9 | -9.003613680738901e-15 |
| 25.0ms | 144× | 0 | valid |
Compiled 1 829 to 1 348 computations (26.3% saved)
ival-mult: 5.0ms (23.9% of total)ival-div: 3.0ms (14.4% of total)ival-sin: 3.0ms (14.4% of total)ival-tan: 3.0ms (14.4% of total)ival-pow: 3.0ms (14.4% of total)ival-add: 2.0ms (9.6% of total)ival-neg: 1.0ms (4.8% 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 |
|---|---|---|
| 17.0ms | 3.9152553707263897e-19 | 4.317353080241101e-19 |
| 5.0ms | 32× | 0 | valid |
Compiled 176 to 132 computations (25% saved)
ival-div: 1.0ms (26.6% of total)ival-mult: 1.0ms (26.6% of total)ival-tan: 1.0ms (26.6% of total)ival-pow: 1.0ms (26.6% 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-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.7084520301476332e-7 | 3.6082764950525704e-7 |
| 11.0ms | 80× | 0 | valid |
Compiled 555 to 361 computations (35% saved)
ival-div: 2.0ms (23.1% of total)ival-mult: 2.0ms (23.1% of total)ival-pow: 2.0ms (23.1% of total)ival-add: 1.0ms (11.5% of total)ival-sin: 1.0ms (11.5% of total)ival-tan: 1.0ms (11.5% of total)ival-neg: 1.0ms (11.5% 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 |
|---|---|---|
| 26.0ms | 5.7622423583655626e+137 | 3.190153551170028e+139 |
| 31.0ms | -5.346659702966248e+158 | -5.287973436955696e+151 |
| 45.0ms | 256× | 0 | valid |
Compiled 1 910 to 1 215 computations (36.4% saved)
ival-pow: 7.0ms (18.9% of total)ival-div: 6.0ms (16.2% of total)ival-mult: 6.0ms (16.2% of total)ival-sin: 6.0ms (16.2% of total)ival-tan: 6.0ms (16.2% of total)ival-add: 3.0ms (8.1% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 5.7622423583655626e+137 | 3.190153551170028e+139 |
| 2.0ms | -5.346659702966248e+158 | -5.287973436955696e+151 |
Compiled 1 875 to 1 201 computations (35.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 3.190153551170028e+139 | 1.5828708840706898e+151 |
| 2.0ms | -5.346659702966248e+158 | -5.287973436955696e+151 |
| 31.0ms | 160× | 0 | valid |
Compiled 2 196 to 1 413 computations (35.7% saved)
ival-mult: 4.0ms (18.3% of total)ival-sin: 4.0ms (18.3% of total)ival-tan: 4.0ms (18.3% of total)ival-pow: 4.0ms (18.3% of total)ival-div: 3.0ms (13.7% of total)ival-add: 2.0ms (9.1% of total)ival-neg: 1.0ms (4.6% 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 |
|---|---|---|
| 2.0ms | 3.190153551170028e+139 | 1.5828708840706898e+151 |
| 2.0ms | -5.346659702966248e+158 | -5.287973436955696e+151 |
Compiled 2 196 to 1 423 computations (35.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 5.092642867163771e+40 | 2.176848627874578e+45 |
| 2.0ms | -5.346659702966248e+158 | -5.287973436955696e+151 |
| 21.0ms | 128× | 0 | valid |
| 1.0ms | 4× | 0 | invalid |
Compiled 1 912 to 1 243 computations (35% saved)
ival-mult: 3.0ms (17.1% of total)ival-sin: 3.0ms (17.1% of total)ival-tan: 3.0ms (17.1% of total)ival-pow: 3.0ms (17.1% of total)ival-div: 2.0ms (11.4% of total)ival-add: 2.0ms (11.4% of total)ival-neg: 1.0ms (5.7% 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 |
|---|---|---|
| 2.0ms | 5.092642867163771e+40 | 2.176848627874578e+45 |
| 35.0ms | -4.03652575944046e-13 | -6.609017537977826e-21 |
| 24.0ms | 144× | 0 | valid |
| 3.0ms | 18× | 0 | invalid |
Compiled 1 813 to 1 198 computations (33.9% saved)
ival-mult: 5.0ms (23.2% of total)ival-tan: 4.0ms (18.6% of total)ival-div: 3.0ms (13.9% of total)ival-sin: 3.0ms (13.9% of total)ival-pow: 3.0ms (13.9% of total)ival-add: 2.0ms (9.3% of total)ival-neg: 1.0ms (4.6% 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 |
|---|---|---|
| 1.0ms | 5.092642867163771e+40 | 2.176848627874578e+45 |
| 2.0ms | -4.03652575944046e-13 | -6.609017537977826e-21 |
Compiled 2 011 to 1 279 computations (36.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 5.092642867163771e+40 | 2.176848627874578e+45 |
| 5.0ms | -4.03652575944046e-13 | -6.609017537977826e-21 |
| 8.0ms | 48× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 2 198 to 1 364 computations (37.9% saved)
ival-div: 1.0ms (15.1% of total)ival-add: 1.0ms (15.1% of total)ival-mult: 1.0ms (15.1% of total)ival-sin: 1.0ms (15.1% of total)ival-tan: 1.0ms (15.1% of total)ival-pow: 1.0ms (15.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 62.0ms | 68.77031311063074 | 395.4964777542079 |
| 2.0ms | -4.03652575944046e-13 | -6.609017537977826e-21 |
| 54.0ms | 96× | 0 | valid |
| 3.0ms | 21× | 0 | invalid |
Compiled 1 962 to 1 214 computations (38.1% saved)
ival-mult: 41.0ms (76.5% of total)ival-tan: 3.0ms (5.6% of total)ival-div: 2.0ms (3.7% of total)ival-add: 2.0ms (3.7% of total)ival-sin: 2.0ms (3.7% of total)ival-pow: 2.0ms (3.7% of total)ival-neg: 1.0ms (1.9% 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× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 4.006296680653436e-47 | 4.1564066445111217e-47 |
| 2.0ms | -4.03652575944046e-13 | -6.609017537977826e-21 |
| 3.0ms | 16× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 1 342 to 819 computations (39% saved)
ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 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)ival-tan: 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.006296680653436e-47 | 4.1564066445111217e-47 |
| 33.0ms | -3.0674655926450787e-37 | -3.4721159507298284e-41 |
| 25.0ms | 128× | 0 | valid |
| 2.0ms | 11× | 0 | invalid |
Compiled 953 to 619 computations (35% saved)
ival-sin: 8.0ms (34.9% of total)ival-div: 3.0ms (13.1% of total)ival-mult: 3.0ms (13.1% of total)ival-tan: 3.0ms (13.1% of total)ival-pow: 3.0ms (13.1% of total)ival-add: 2.0ms (8.7% of total)ival-neg: 1.0ms (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× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.006296680653436e-47 | 4.1564066445111217e-47 |
| 1.0ms | -3.0674655926450787e-37 | -3.4721159507298284e-41 |
Compiled 939 to 611 computations (34.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | -3.0674655926450787e-37 | -3.4721159507298284e-41 |
Compiled 838 to 546 computations (34.8% saved)
| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 3800 |
| 1 | 463 | 3672 |
| 2 | 623 | 3672 |
| 3 | 962 | 3656 |
| 4 | 1609 | 3656 |
| 5 | 3843 | 3656 |
| 6 | 5967 | 3652 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 F #s(literal -76000000000000002781246582656335872 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 100000000 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))) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 -50000000000000004410680702653211320350932992 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 135000000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 -50000000000000004410680702653211320350932992 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 100000000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) 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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))) |
(if (<=.f64 F #s(literal -50000000000000004410680702653211320350932992 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 135000000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -76000000000000002781246582656335872 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 1000 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -799388933858263/562949953421312 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 2308094809027379/1125899906842624 binary64)) (-.f64 (/.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -799388933858263/562949953421312 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 F #s(literal -33000000000000000163611410432 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal -634025687370019/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (if (<=.f64 F #s(literal 8536031192270291/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 200000 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))))))) |
(if (<=.f64 F #s(literal -33000000000000000163611410432 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal -634025687370019/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (if (<=.f64 F #s(literal 8536031192270291/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))))))) |
(if (<=.f64 F #s(literal -47999999999999999591523568385787545946281041832294659091522967575478639262586372096 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #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))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal -634025687370019/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (if (<=.f64 F #s(literal 8536031192270291/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))))))) |
(if (<=.f64 x #s(literal -2611279770367599/9671406556917033397649408 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 5823336329662291/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 x #s(literal -2611279770367599/9671406556917033397649408 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal -2641773697375079/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) (if (<=.f64 x #s(literal 2598103900926253/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 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)))) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B)))))) |
(if (<=.f64 B #s(literal 279085956146247/649037107316853453566312041152512 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (sin B) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) B) B #s(literal 1 binary64)) B))) (/.f64 x (tan.f64 B)))) |
(if (<=.f64 B #s(literal 6800207735332289/18889465931478580854784 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) #s(approx (/ (+ (* (* B B) 1/6) 1) B) (*.f64 #s(literal 1/6 binary64) B)))) (/.f64 x (tan.f64 B)))) |
(if (<=.f64 F #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) (if (<=.f64 F #s(literal 27999999999999998275339874536743534403975119726984968160726044078120039054570882777608871892330984254393744375099888805837309637664488554496 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.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)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) (if (<=.f64 F #s(literal 27999999999999998275339874536743534403975119726984968160726044078120039054570882777608871892330984254393744375099888805837309637664488554496 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) (if (<=.f64 F #s(literal 449999999999999967362480590755265229921174440287224118168729942154472856255165810552221998234337122358605590733047144462369364654519726880325632 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) (if (<=.f64 F #s(literal 449999999999999967362480590755265229921174440287224118168729942154472856255165810552221998234337122358605590733047144462369364654519726880325632 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B)))) (if (<=.f64 F #s(literal 999999999999999929757289024535551219930759168 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -3961408125713217/9903520314283042199192993792 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 999999999999999929757289024535551219930759168 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -3961408125713217/9903520314283042199192993792 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)))))) (if (<=.f64 F #s(literal 999999999999999929757289024535551219930759168 binary64)) #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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -3961408125713217/9903520314283042199192993792 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)))))) (if (<=.f64 F #s(literal 720000000000000000131272106794772938218274816 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)) (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -3961408125713217/9903520314283042199192993792 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)))))) (if (<=.f64 F #s(literal 70 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)) (+.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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -3961408125713217/9903520314283042199192993792 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) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) B)) (/.f64 #s(literal 1 binary64) B)))))) (if (<=.f64 F #s(literal 4165183410719303/102844034832575377634685573909834406561420991602098741459288064 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 (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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -3187590725001049/12259964326927110866866776217202473468949912977468817408 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 4165183410719303/102844034832575377634685573909834406561420991602098741459288064 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 (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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -3187590725001049/12259964326927110866866776217202473468949912977468817408 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 4165183410719303/102844034832575377634685573909834406561420991602098741459288064 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 -3187590725001049/12259964326927110866866776217202473468949912977468817408 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 |
|---|
(if (<=.f64 F #s(literal -76000000000000002781246582656335872 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 100000000 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))) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 -76000000000000002781246582656335872 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 100000000 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))) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -50000000000000004410680702653211320350932992 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 135000000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* 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 -50000000000000004410680702653211320350932992 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 135000000 binary64)) (fma.f64 (pow.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)) F (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -50000000000000004410680702653211320350932992 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 100000000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) 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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))) |
(if (<=.f64 F #s(literal -50000000000000004410680702653211320350932992 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 100000000 binary64)) (fma.f64 (pow.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)) F (/.f64 (neg.f64 x) (tan.f64 B))) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))) |
(if (<=.f64 F #s(literal -50000000000000004410680702653211320350932992 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 135000000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B))) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
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(if (<=.f64 F #s(literal -3961408125713217/9903520314283042199192993792 binary64)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) #s(approx (+ (* (/ 1/2 (* F F)) (/ (+ (* 2 x) 2) B)) (/ (- -1 x) B)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 (*.f64 (*.f64 F F) B) #s(literal -1 binary64)) (pow.f64 B #s(literal -1 binary64))))))) (if (<=.f64 F #s(literal 70 binary64)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64)))) F (neg.f64 x)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
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(if (<=.f64 F #s(literal -3187590725001049/12259964326927110866866776217202473468949912977468817408 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 4165183410719303/102844034832575377634685573909834406561420991602098741459288064 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 (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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -3187590725001049/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.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 4165183410719303/102844034832575377634685573909834406561420991602098741459288064 binary64)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) 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)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))))) |
(if (<=.f64 F #s(literal -3187590725001049/12259964326927110866866776217202473468949912977468817408 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 4165183410719303/102844034832575377634685573909834406561420991602098741459288064 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 -3187590725001049/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.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 4165183410719303/102844034832575377634685573909834406561420991602098741459288064 binary64)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.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 -3187590725001049/12259964326927110866866776217202473468949912977468817408 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 F #s(literal -3187590725001049/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.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)) (neg.f64 x)) B)) |
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 383 |
| 0 | 93 | 362 |
| 1 | 377 | 339 |
| 2 | 3116 | 339 |
| 0 | 8358 | 339 |
| 0 | 1123 | 9461 |
| 1 | 3582 | 8978 |
| 0 | 9125 | 8151 |
| 0 | 496 | 3513 |
| 1 | 1484 | 3321 |
| 2 | 5396 | 3259 |
| 0 | 8593 | 2966 |
| 0 | 80 | 623 |
| 0 | 110 | 593 |
| 1 | 456 | 559 |
| 2 | 3545 | 559 |
| 0 | 8897 | 539 |
| 0 | 937 | 7246 |
| 1 | 3058 | 6858 |
| 0 | 9112 | 6261 |
| 0 | 20 | 71 |
| 0 | 37 | 67 |
| 1 | 122 | 66 |
| 2 | 789 | 66 |
| 0 | 8356 | 58 |
| 0 | 77 | 496 |
| 0 | 113 | 452 |
| 1 | 493 | 434 |
| 2 | 4139 | 434 |
| 0 | 8236 | 434 |
| 0 | 1036 | 8454 |
| 1 | 3361 | 8234 |
| 0 | 8352 | 7471 |
| 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× | 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× | node limit |
| 1× | iter limit |
Compiled 7 120 to 2 840 computations (60.1% saved)
(negabs B)
Compiled 8 020 to 914 computations (88.6% saved)
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