
Time bar (total: 13.1s)
| 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)
| 1.5s | 8 255× | 0 | valid |
| 88.0ms | 356× | 0 | invalid |
| 0.0ms | 1× | 1 | valid |
ival-mult: 259.0ms (18.9% of total)ival-tan: 240.0ms (17.5% of total)ival-sin: 237.0ms (17.3% of total)ival-div: 219.0ms (15.9% of total)ival-pow: 176.0ms (12.8% of total)ival-add: 147.0ms (10.7% of total)ival-neg: 71.0ms (5.2% of total)exact: 10.0ms (0.7% of total)ival-true: 6.0ms (0.4% of total)ival-assert: 4.0ms (0.3% of total)adjust: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 80 | 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)))) |
| 35 | 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 | 80 | 0 |
| ↳ | (*.f64 F F) | overflow | 80 | |
| ↳ | (+.f64 (*.f64 F F) #s(literal 2 binary64)) | overflow | 80 | |
| ↳ | (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) | overflow | 80 | |
*.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 | 35 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 64 | 0 |
| - | 26 | 166 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 64 | 0 | 0 |
| - | 26 | 0 | 166 |
| number | freq |
|---|---|
| 0 | 166 |
| 1 | 65 |
| 2 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 147.0ms | 512× | 0 | valid |
Compiled 265 to 64 computations (75.8% saved)
ival-tan: 59.0ms (49% of total)ival-sin: 16.0ms (13.3% of total)ival-mult: 12.0ms (10% of total)ival-div: 11.0ms (9.1% of total)ival-pow: 10.0ms (8.3% of total)ival-add: 6.0ms (5% of total)ival-neg: 4.0ms (3.3% of total)ival-true: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 229 |
| 1 | 239 | 192 |
| 2 | 647 | 191 |
| 3 | 1472 | 191 |
| 4 | 3003 | 191 |
| 5 | 4504 | 191 |
| 6 | 6910 | 191 |
| 0 | 20 | 24 |
| 0 | 37 | 24 |
| 1 | 71 | 21 |
| 2 | 154 | 21 |
| 3 | 343 | 21 |
| 4 | 610 | 21 |
| 5 | 840 | 21 |
| 6 | 1361 | 21 |
| 7 | 2575 | 21 |
| 8 | 5213 | 21 |
| 9 | 7452 | 21 |
| 0 | 8471 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node 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)))))) |
| 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 (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))) |
(negabs B)
Compiled 27 to 20 computations (25.9% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.3% | (+.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)))))) |
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 | 71 | 96 |
| 2 | 154 | 96 |
| 3 | 343 | 96 |
| 4 | 610 | 96 |
| 5 | 840 | 96 |
| 6 | 1361 | 96 |
| 7 | 2575 | 96 |
| 8 | 5213 | 96 |
| 9 | 7452 | 96 |
| 0 | 8471 | 87 |
| 1× | iter limit |
| 1× | node limit |
| 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 (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))) |
(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 | 0.234375 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 8.478159259057406 | (*.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 | 18.682707314103077 | (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)))) |
| 49.0ms | 256× | 0 | valid |
Compiled 119 to 22 computations (81.5% saved)
ival-mult: 11.0ms (29.7% of total)ival-tan: 6.0ms (16.2% of total)ival-div: 5.0ms (13.5% of total)ival-sin: 5.0ms (13.5% of total)ival-pow: 5.0ms (13.5% of total)ival-add: 3.0ms (8.1% of total)ival-neg: 2.0ms (5.4% 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 |
|---|
(*.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 | |
|---|---|---|---|---|
| 15.0ms | 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))) |
| 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 | 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 | 3495 |
| 1 | 1683 | 3280 |
| 2 | 7664 | 3173 |
| 0 | 8158 | 2879 |
| 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))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (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 (/.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))))) (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 (/.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))) (sin.f64 B)) (*.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)))) |
(+ 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 (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 (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 (/.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))))) (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))))))))) |
(fma.f64 (pow.f64 F #s(literal 3 binary64)) (/.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))) (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 (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 (pow.f64 F #s(literal 3 binary64)) (fma.f64 (/.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))) (sin.f64 B)) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B)) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #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 #s(literal -1/2 binary64) (/.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)) (sin.f64 B)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (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))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.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 (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)))) (sin.f64 B)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #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 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 2 binary64) #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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F 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 (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 -1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #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))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #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)))) |
(fma.f64 #s(literal -1/2 binary64) (/.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)) (sin.f64 B)) (/.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))))) |
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(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 F x)) #s(literal 3/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))) F))) (sin.f64 B)) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) F) #s(literal 3/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 F x)) #s(literal -5/2 binary64))) (sin.f64 B)) x (*.f64 (/.f64 (neg.f64 F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) |
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B)))) (/.f64 (cos.f64 B) (sin.f64 B))) x) |
(* 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)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B)))) (/.f64 (cos.f64 B) (sin.f64 B)))) x) |
(* 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)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) F) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) F)) #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) F)) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)))) (/.f64 (cos.f64 B) (sin.f64 B))) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.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))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.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 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.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))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) |
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B)))) |
(+ (* -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)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 F (sin.f64 B))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 F (sin.f64 B))))) |
(+ (* -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))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)))) |
(+ (* -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)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 F (sin.f64 B))) (/.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 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 B))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal -1 binary64) (cos.f64 B)) (sin.f64 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))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (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 (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)))) x) #s(literal -1 binary64) (/.f64 (cos.f64 B) (sin.f64 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))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (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)) (/.f64 (fma.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)))))) #s(literal 1/16 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)))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) x) #s(literal -1 binary64) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 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) (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.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))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 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 -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.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 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (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))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1/16 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(*.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))) |
(+ (* -1/8 (* (/ (* 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 (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)))) |
(+ (* -1/8 (* (/ (* 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 (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)) (/.f64 (fma.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)))))) #s(literal 1/16 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)))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) |
(+ (* -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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.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 (/.f64 #s(literal 1 binary64) x)))) #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)))) #s(literal -1/16 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 71 |
| 0 | 37 | 71 |
| 1 | 132 | 66 |
| 2 | 874 | 66 |
| 0 | 8190 | 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 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) x) |
(*.f64 x (pow.f64 (tan.f64 B) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 (tan.f64 B))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
#s(literal 1/2 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 F (sin.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 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.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 (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 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.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 F (sin.f64 B)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #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 (-.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 F (sin.f64 B)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (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)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.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 F (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 F (sin.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 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 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 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 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 (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 F (sin.f64 B)) #s(literal 3 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 (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 F (sin.f64 B)) #s(literal 3 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 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 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 (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 F (sin.f64 B)) #s(literal 3 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 (pow.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))))) #s(literal 3 binary64)) (pow.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 F (sin.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))))) #s(literal 3 binary64))) (fma.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))))) (fma.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 F (sin.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 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.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 (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 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sin.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 -3/2 binary64)) (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) #s(literal 3 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 F (sin.f64 B)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))) (*.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))) (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.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 F (sin.f64 B)) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) #s(literal 3 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 F (sin.f64 B)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))) (*.f64 (neg.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)) (/.f64 F (sin.f64 B))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B))))))) |
(/.f64 (-.f64 (*.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 F (sin.f64 B)) #s(literal 3 binary64))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 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 F (sin.f64 B)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.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))) (/.f64 x (tan.f64 B)))))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (pow.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 F (sin.f64 B))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (fma.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 F (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 F (sin.f64 B))) (*.f64 (/.f64 (neg.f64 x) (tan.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 F (sin.f64 B))))))) |
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(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 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))) |
(fabs.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/4 binary64) (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.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))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.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))) |
(exp.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (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 (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (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)) (/.f64 F (sin.f64 B))) |
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 F (/.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 (neg.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (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)) (neg.f64 F))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (neg.f64 (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)) F))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 F)) (neg.f64 (sin.f64 B))) |
(/.f64 (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)) F)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (sin.f64 B)) |
(*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (cos.f64 B)) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 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 (neg.f64 (neg.f64 (tan.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (tan.f64 B) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (tan.f64 B)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (tan.f64 B))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (tan.f64 B))))) |
(/.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B)) (PI.f64)))) |
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) B)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) B)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (cos.f64 B)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B))))) |
(/.f64 (+.f64 (neg.f64 (tan.f64 B)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) |
(/.f64 (cos.f64 B) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B))) |
(tan.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B))))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) B)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) B) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B)) (PI.f64))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) B)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (neg.f64 (tan.f64 B)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64)))) |
Compiled 19 220 to 1 979 computations (89.7% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 22 | 404 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 383 | 22 | 405 |
| Status | Accuracy | Program |
|---|---|---|
| 75.3% | (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 (/.f64 x (sin.f64 B))) (cos.f64 B))) | |
| ▶ | 84.8% | (fma.f64 F (/.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 (neg.f64 x) (tan.f64 B))) |
| 68.5% | (/.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))) | |
| 40.9% | (/.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 F (sin.f64 B)) #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)))) | |
| 75.2% | (+.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)))) | |
| 46.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| ▶ | 44.6% | (+.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))) (/.f64 #s(literal -1 binary64) F)))) |
| ▶ | 75.1% | (+.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 F F #s(literal 2 binary64))))))) |
| 43.3% | (+.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 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))) | |
| ▶ | 53.1% | (+.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
| 60.3% | (+.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)))))))) | |
| 84.8% | #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 (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 53.0% | #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 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 53.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) | |
| 44.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (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 1/45 binary64) x (*.f64 (fma.f64 (neg.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 F #s(literal -7/2160 binary64)))) (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 1/105 binary64) x (*.f64 x #s(literal -1/135 binary64)))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) | |
| 44.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 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 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) | |
| 44.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) | |
| ▶ | 44.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
| 54.1% | #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) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 43.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) | |
| 31.5% | #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)))) | |
| 52.4% | #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 1 888 to 1 242 computations (34.2% 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 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (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)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) 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 (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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) | |
| cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) 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 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) 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 F (/.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 (neg.f64 x) (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 587 |
| 0 | 96 | 572 |
| 1 | 181 | 554 |
| 2 | 400 | 554 |
| 3 | 1086 | 551 |
| 4 | 2985 | 551 |
| 5 | 5252 | 551 |
| 6 | 7730 | 551 |
| 0 | 8033 | 548 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.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 (neg.f64 x) (tan.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)) (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)) |
#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 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) 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))))) F) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
#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 |
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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
(*.f64 B 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))) (/.f64 #s(literal -1 binary64) 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 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) |
(/.f64 #s(literal -1 binary64) F) |
#s(literal -1 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))))))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 F (/.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 (neg.f64 x) (tan.f64 B))) |
(-.f64 (*.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 x (tan.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)) (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)) |
#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 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) 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 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) 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) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) 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)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 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 |
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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) |
(*.f64 (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F) |
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
(*.f64 B 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))) (/.f64 #s(literal -1 binary64) F)))) |
(fma.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) (/.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))) (/.f64 #s(literal -1 binary64) F))) |
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) (/.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))) (/.f64 #s(literal -1 binary64) F)) |
(/.f64 #s(literal -1 binary64) F) |
#s(literal -1 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))))))) |
(fma.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B))) |
(/.f64 F (sin.f64 B)) |
F |
(sin.f64 B) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 F F #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3980780425210705 | (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) | |
| accuracy | 8.478159259057406 | (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) | |
| accuracy | 9.819880231902895 | #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 18.181253567756407 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 0.1640625 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) | |
| accuracy | 0.234375 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| accuracy | 8.478159259057406 | (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F))) | |
| accuracy | 44.95269930714642 | #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) | |
| accuracy | 6.050795522105865 | (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) | |
| accuracy | 10.46768442041208 | (/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) | |
| accuracy | 18.192972317756407 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 31.318621909719024 | #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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) | |
| accuracy | 0.4019842925210705 | (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) | |
| accuracy | 18.192972317756407 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 31.94010431288203 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) | |
| accuracy | 0.11328125 | (/.f64 (neg.f64 x) (tan.f64 B)) | |
| accuracy | 0.12109375 | (fma.f64 F (/.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 (neg.f64 x) (tan.f64 B))) | |
| accuracy | 0.33203125 | (/.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 | 18.682707314103077 | (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
| 111.0ms | 256× | 0 | valid |
Compiled 568 to 48 computations (91.5% saved)
ival-div: 20.0ms (26.1% of total)ival-mult: 15.0ms (19.6% of total)ival-pow: 10.0ms (13.1% of total)ival-add: 9.0ms (11.8% of total)ival-sin: 6.0ms (7.8% of total)ival-tan: 5.0ms (6.5% of total)const: 4.0ms (5.2% of total)ival-sqrt: 3.0ms (3.9% of total)ival-neg: 3.0ms (3.9% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 F (/.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 (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 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) 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))))) F) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(*.f64 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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))) (/.f64 #s(literal -1 binary64) F)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(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(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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
| 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 (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 (+ 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)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(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))) |
(+ (* -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 (* -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 (* 1/6 (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 (* 1/6 (pow B 2))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/6 (pow B 2)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/6 (pow B 2))))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* 1/6 (pow B 2)))))) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(/ -1 (* F (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
-1 |
(- (* 1/2 (/ (+ 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) |
(/ (- (* -1/6 (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))) |
(- (* -1/6 (pow B 2)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (* -1/6 (pow B 2))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (* -1/6 (pow B 2)))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (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)) (pow F 6))) (* -1/6 (pow B 2))))) 1) |
(* -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 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 (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))))))) |
(+ (* -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) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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))) |
(+ (* -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)))))))) |
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(* (/ (+ 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 (pow F 2))) |
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) |
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) |
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(+ (* -1 (* (/ (* 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)))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F)))) |
(+ (* -1 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
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(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ F (* 1/6 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(* 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)))) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
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(* 2 x) |
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x)))) |
(* 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))) |
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(* 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)) |
(* (* 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)))) |
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(* (/ (* (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)))) |
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(+ (* -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 (* -1/4 (/ (+ 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)))))) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ 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)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* -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))))) |
(* (* 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))))) |
(* (/ (* (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 (/ (- (* 1/4 (/ (+ 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))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (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))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 10.0ms | x | @ | inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 8.0ms | x | @ | -inf | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 7.0ms | B | @ | 0 | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 6.0ms | F | @ | 0 | ((+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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 (tan B)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg x) (tan B)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) 2))) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (+ (* F F) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1293 | 11898 |
| 1 | 4577 | 11764 |
| 0 | 8463 | 10712 |
| 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 (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 (+ 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)))) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) |
(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))) |
(+ (* -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 (* -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 (* 1/6 (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 (* 1/6 (pow B 2))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (* 1/6 (pow B 2)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* 1/6 (pow B 2))))) |
(+ 1 (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* 1/6 (pow B 2)))))) |
(/ (- 1 (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (/ 1 (pow F 2))) F) |
(/ (- (+ 1 (/ 3/2 (pow F 4))) (+ (/ 1 (pow F 2)) (* 5/2 (/ 1 (pow F 6))))) F) |
(/ (- 1 (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (* 2 (/ 1 (pow F 2)))) (pow F 2)) |
(/ (- (+ 1 (/ 4 (pow F 4))) (+ (* 2 (/ 1 (pow F 2))) (* 8 (/ 1 (pow F 6))))) (pow F 2)) |
(- (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))))) (/ 1 (sin B))) |
(- (+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B))))))) (/ 1 (sin B))) |
(/ -1 (* F (sin B))) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) F)) |
(* -1 (/ (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) F)) |
(/ -1 F) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (+ 1 x) B)) |
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))))) |
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6))))))) |
(* -1 (+ 1 x)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) (+ 1 x)) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) (+ 1 x)) |
-1 |
(- (* 1/2 (/ (+ 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) |
(/ (- (* -1/6 (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))) |
(- (* -1/6 (pow B 2)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (* -1/6 (pow B 2))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (pow F 4))) (* -1/6 (pow B 2)))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 (* 2 x)) (- (* -1/6 (pow B 2)) 1)) (pow F 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (- (* -1/6 (pow B 2)) 1)) (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)) (pow F 6))) (* -1/6 (pow B 2))))) 1) |
(* -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 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 (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))))))) |
(+ (* -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) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 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))) |
(+ (* -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 (* 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 (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)))))) |
(* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F)))) |
(+ (* -1 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* 3/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* x (+ (* -1 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))) (+ F (* 1/6 (* (pow B 2) F))))) (* x (+ (* -5/2 (* (* x (+ F (* 1/6 (* (pow B 2) F)))) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))) (+ F (* 1/6 (* (pow B 2) F))))))))) (* (sqrt (/ 1 (+ 2 (pow F 2)))) (+ F (* 1/6 (* (pow B 2) F))))) |
(* 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)) |
(* (* 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 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 (* -1/4 (/ (+ 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)))))) |
(* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ 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)))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F)))) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(* -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))))) |
(* (* 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))))) |
(* (/ (* (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 (/ (- (* 1/4 (/ (+ 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))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (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))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
| 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)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (* -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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(+ (* (/ 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(+ (* (/ 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 #s(literal 3/8 binary64) (/.f64 #s(literal 1 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 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (/ x B)) |
(/.f64 (neg.f64 x) B) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (neg.f64 x)) B) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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) (/.f64 #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 #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 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) B)) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(-.f64 (*.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) 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) |
(-.f64 (*.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) x) |
(* 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) |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) 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))))))))))) |
(*.f64 (fma.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 7 binary64))))) #s(literal -5/16 binary64) (*.f64 (*.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 F F) (*.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) |
(/ 1 (+ 2 (* 2 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) |
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(sqrt 1/2) |
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1/2 |
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(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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (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)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B)) (sqrt.f64 x)) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) 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)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (-.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 1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) x) #s(literal 1/16 binary64) (*.f64 #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 1/2 binary64)) (neg.f64 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 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F))))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (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))))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 437 |
| 0 | 96 | 425 |
| 1 | 369 | 399 |
| 2 | 2737 | 399 |
| 0 | 8370 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.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 (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 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) 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))))) F) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) |
(*.f64 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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))) (/.f64 #s(literal -1 binary64) F)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(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(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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.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 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)))) (*.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.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 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.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 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.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 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)))))) |
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(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) F) B) (*.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 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 B B) (*.f64 (*.f64 #s(literal 1/6 binary64) F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 (*.f64 B B) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 B B) F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) F) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F))) |
(fma.f64 F (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B 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))) F)) |
(-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F)) (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 B B) F)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) (/.f64 F (sin.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 F (/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B))) |
(/.f64 (*.f64 (neg.f64 F) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F))) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 F)) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) F)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) F) (sin.f64 B)) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (*.f64 F F) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (*.f64 F F) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) |
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B))) |
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 F (/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B))) |
(/.f64 (*.f64 (neg.f64 F) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 F)) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (sin.f64 B)) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 F F) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64))))) (sinh.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))))) |
Compiled 57 933 to 4 656 computations (92% saved)
47 alts after pruning (47 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 027 | 41 | 1 068 |
| Fresh | 11 | 6 | 17 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 043 | 47 | 1 090 |
| Status | Accuracy | Program |
|---|---|---|
| 44.6% | (fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B) (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) (/.f64 F (sin.f64 B)))) | |
| ▶ | 84.8% | (fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
| 51.7% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 84.7% | (fma.f64 F (/.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)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 51.7% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 52.4% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 69.8% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 46.9% | (/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 53.1% | (+.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 75.2% | (+.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) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))) | |
| 46.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 55.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) | |
| 35.3% | (+.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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) | |
| 34.3% | (+.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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) | |
| 60.3% | (+.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)))))))) | |
| ▶ | 44.0% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
| 44.0% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 44.0% | (+.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 43.9% | (+.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 44.1% | (+.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)))) (/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 26.6% | (+.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))) (/.f64 #s(literal -1 binary64) F)))) | |
| 44.0% | (+.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 44.1% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 19.1% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) | |
| 31.5% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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)))) | |
| 52.4% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| 53.0% | #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 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 44.8% | #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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) | |
| ▶ | 53.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
| 44.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) | |
| ▶ | 44.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
| 44.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) | |
| 27.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) | |
| 28.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) | |
| 14.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) | |
| 24.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) | |
| 20.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) | |
| 14.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) | |
| 28.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) | |
| 28.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) | |
| 54.1% | #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) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 17.8% | #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) x) (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) #s(literal 1 binary64)) x)) B)) | |
| 19.6% | #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) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) | |
| ▶ | 27.0% | #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) x) (neg.f64 x)) B)) |
| 15.4% | #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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) | |
| 20.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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)))) | |
| 17.3% | #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) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
Compiled 4 512 to 2 948 computations (34.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B)) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) | |
| cost-diff | 0 | (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) | |
| cost-diff | 1 | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) | |
| cost-diff | 2 | (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| cost-diff | 2 | (*.f64 F #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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) 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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| cost-diff | 2 | (fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 677 |
| 0 | 116 | 661 |
| 1 | 223 | 651 |
| 2 | 536 | 647 |
| 3 | 1595 | 642 |
| 4 | 3732 | 642 |
| 5 | 7231 | 642 |
| 0 | 8541 | 634 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
F |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(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 (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 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
(/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) |
#s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) |
(neg.f64 x) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
(/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B) |
(-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) |
(/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(*.f64 F #s(literal 1 binary64)) |
F |
#s(literal 1 binary64) |
(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)) |
B |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) |
(*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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))) |
x |
#s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)) |
(/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.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)) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) |
(-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) |
(*.f64 #s(literal -2/945 binary64) (*.f64 B B)) |
#s(literal -2/945 binary64) |
(*.f64 B B) |
B |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B)) |
(fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(cos.f64 B) |
B |
#s(literal -1 binary64) |
(sin.f64 B) |
| Outputs |
|---|
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.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))))) (/.f64 x (tan.f64 B))) |
F |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 (/.f64 #s(literal 1 binary64) (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) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(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 (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 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
(/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) |
#s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) |
(neg.f64 x) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
(/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B) |
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) |
(-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) |
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) |
(/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) |
(*.f64 F #s(literal 1 binary64)) |
F |
F |
#s(literal 1 binary64) |
(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)) |
B |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(fma.f64 #s(approx (/ 1 (tan B)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) B) B) #s(literal 1/3 binary64)) B (/.f64 #s(literal 1 binary64) B))) (neg.f64 x) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (*.f64 F (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) |
(neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) |
(*.f64 #s(approx (/ 1 (tan B)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) B) B) #s(literal 1/3 binary64)) B (/.f64 #s(literal 1 binary64) B))) (neg.f64 x)) |
(*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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))) |
(*.f64 #s(approx (/ 1 (tan B)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) B) B) #s(literal 1/3 binary64)) B (/.f64 #s(literal 1 binary64) B))) x) |
x |
#s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (/ 1 (tan B)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) B) B) #s(literal 1/3 binary64)) B (/.f64 #s(literal 1 binary64) B))) |
(/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) B) B) #s(literal 1/3 binary64)) B (/.f64 #s(literal 1 binary64) B)) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) B) B) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) B) B) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) (*.f64 B B)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) B) B) |
(-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 B B)) #s(literal 1/45 binary64)) |
(-.f64 (*.f64 (*.f64 B B) #s(literal -2/945 binary64)) #s(literal 1/45 binary64)) |
(*.f64 #s(literal -2/945 binary64) (*.f64 B B)) |
(*.f64 (*.f64 B B) #s(literal -2/945 binary64)) |
#s(literal -2/945 binary64) |
(*.f64 B B) |
B |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) |
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (*.f64 F (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) |
(/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) |
(*.f64 (*.f64 F (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
F |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal -1 binary64)) (sin.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B)) |
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal -1 binary64)) (sin.f64 B)) |
(fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 B) (neg.f64 x) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(cos.f64 B) |
B |
#s(literal -1 binary64) |
(sin.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 B) | |
| accuracy | 0.0625 | (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) | |
| accuracy | 0.15234375 | (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B)) | |
| accuracy | 29.600165683086086 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) | |
| accuracy | 10.46768442041208 | (/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) | |
| accuracy | 18.192972317756407 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) | |
| accuracy | 31.318621909719024 | #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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) | |
| accuracy | 31.919606432879608 | #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)) | |
| accuracy | 0.0546875 | (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B) | |
| accuracy | 0.15625 | (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 18.645404760449996 | (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) | |
| accuracy | 31.94010431288203 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0546875 | (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) | |
| accuracy | 30.092464411763807 | #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) | |
| accuracy | 31.94010431288203 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) | |
| accuracy | 0.12109375 | (fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| accuracy | 0.33203125 | (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| accuracy | 0.33203125 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 18.645404760449996 | (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
| 157.0ms | 256× | 0 | valid |
Compiled 563 to 64 computations (88.6% saved)
ival-mult: 29.0ms (22.3% of total)ival-sub: 22.0ms (16.9% of total)ival-div: 20.0ms (15.4% of total)const: 13.0ms (10% of total)ival-tan: 12.0ms (9.2% of total)ival-add: 11.0ms (8.5% of total)ival-sin: 6.0ms (4.6% of total)ival-cos: 5.0ms (3.8% of total)ival-pow: 5.0ms (3.8% of total)ival-sqrt: 3.0ms (2.3% 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 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (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) x) (neg.f64 x)) B)) |
(/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) |
#s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) |
(neg.f64 x) |
(*.f64 F #s(literal 1 binary64)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
(/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B) |
(-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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) |
(/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B)) |
(fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) |
(/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
#s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(cos.f64 B) |
| Outputs |
|---|
(* -1 (/ (* x (cos B)) (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(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)))))))))) |
(- (* (/ 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 |
(* (/ (* 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))))))))))) |
(* 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 (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 (/ (* 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) |
(* 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 (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 |
(+ 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 (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 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 (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 |
(- (* 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 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (- (* 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) B) |
(/ (- (+ (* -1 x) (* (pow B 2) (- (* 1/2 x) (* -1/6 (- (* -1 x) 1))))) 1) B) |
(/ (- (+ (* -1 x) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* -1 x) 1)))) (* 1/120 (- (* -1 x) 1)))))) (* -1/6 (- (* -1 x) 1))))) 1) B) |
(/ (- (+ (* -1 x) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* -1 x) 1)))) (* 1/120 (- (* -1 x) 1))))) (+ (* -1/5040 (- (* -1 x) 1)) (* 1/120 (- (* 1/2 x) (* -1/6 (- (* -1 x) 1))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* -1 x) 1)))) (* 1/120 (- (* -1 x) 1)))))) (* -1/6 (- (* -1 x) 1))))) 1) B) |
(- (* -1 x) 1) |
(- (+ (* -1 x) (* 1/2 (* (pow B 2) x))) 1) |
(- (+ (* -1 x) (* (pow B 2) (+ (* -1/24 (* (pow B 2) x)) (* 1/2 x)))) 1) |
(- (+ (* -1 x) (* (pow B 2) (+ (* 1/2 x) (* (pow B 2) (+ (* -1/24 x) (* 1/720 (* (pow B 2) x))))))) 1) |
(/ (+ (* 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 (* -1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2))) |
(+ (* -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))) |
(* -2/945 (pow B 5)) |
(* -1 (* (pow B 5) (+ 2/945 (* 1/45 (/ 1 (pow B 2)))))) |
(* (pow B 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (pow B 2))) 2/945)) |
(* (pow B 5) (- (/ 1 (pow B 6)) (+ 2/945 (+ (/ 1/3 (pow B 4)) (* 1/45 (/ 1 (pow B 2))))))) |
(* 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 (* x (cos B))) 1) (sin B)) |
(- (* -1 (* x (cos B))) 1) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(cos B) |
(* -1 (* (pow B 5) (+ 2/945 (+ (/ 1/3 (pow B 4)) (* 1/45 (/ 1 (pow B 2))))))) |
(* -1 (* (pow B 5) (- (+ 2/945 (+ (/ 1/3 (pow B 4)) (* 1/45 (/ 1 (pow B 2))))) (/ 1 (pow B 6))))) |
(* -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))))))))) |
(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)))))))))) |
(+ (* 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 (* (* 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)))))))))) |
(+ (* -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))))) |
(* (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)) |
(* (/ (* (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)))))) |
(* x (- (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* -1 (* x (cos B))) |
(* x (- (* -1 (cos B)) (/ 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)))))) |
(* (/ (* 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 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (/ (* (sqrt -1) (* (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 (* x (+ (/ 1 (* x (sin B))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (cos B) (/ 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))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | -inf | ((+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 1 (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (+ (* (- (* (- (* -2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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))))) (/ (+ (* (neg x) (cos B)) -1) (sin B)) (+ (* (neg x) (cos B)) -1) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (/ 1 (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (cos B)) |
| 5.0ms | B | @ | -inf | ((+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 1 (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (+ (* (- (* (- (* -2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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))))) (/ (+ (* (neg x) (cos B)) -1) (sin B)) (+ (* (neg x) (cos B)) -1) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (/ 1 (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (cos B)) |
| 5.0ms | B | @ | inf | ((+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 1 (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (+ (* (- (* (- (* -2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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))))) (/ (+ (* (neg x) (cos B)) -1) (sin B)) (+ (* (neg x) (cos B)) -1) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (/ 1 (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (cos B)) |
| 4.0ms | x | @ | inf | ((+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 1 (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (+ (* (- (* (- (* -2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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))))) (/ (+ (* (neg x) (cos B)) -1) (sin B)) (+ (* (neg x) (cos B)) -1) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (/ 1 (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (cos B)) |
| 3.0ms | B | @ | 0 | ((+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B)) (/ 1 (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) x) B) (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg x) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (+ (* (- (* (- (* -2/945 (* B B)) 1/45) (* B B)) 1/3) (* B B)) 1) B) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) 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))))) (/ (+ (* (neg x) (cos B)) -1) (sin B)) (+ (* (neg x) (cos B)) -1) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (/ 1 (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (cos B)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1194 | 10690 |
| 1 | 4263 | 10585 |
| 0 | 9146 | 9652 |
| 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))))))))) |
(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)))))))))) |
(- (* (/ 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 |
(* (/ (* 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))))))))))) |
(* 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 (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 (/ (* 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) |
(* 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 (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 |
(+ 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 (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 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 (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 |
(- (* 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 (sin B)) |
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) |
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) |
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) |
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) |
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) |
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) |
(/ (- (* 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) B) |
(/ (- (+ (* -1 x) (* (pow B 2) (- (* 1/2 x) (* -1/6 (- (* -1 x) 1))))) 1) B) |
(/ (- (+ (* -1 x) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* -1 x) 1)))) (* 1/120 (- (* -1 x) 1)))))) (* -1/6 (- (* -1 x) 1))))) 1) B) |
(/ (- (+ (* -1 x) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* -1 x) 1)))) (* 1/120 (- (* -1 x) 1))))) (+ (* -1/5040 (- (* -1 x) 1)) (* 1/120 (- (* 1/2 x) (* -1/6 (- (* -1 x) 1))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* -1 x) 1)))) (* 1/120 (- (* -1 x) 1)))))) (* -1/6 (- (* -1 x) 1))))) 1) B) |
(- (* -1 x) 1) |
(- (+ (* -1 x) (* 1/2 (* (pow B 2) x))) 1) |
(- (+ (* -1 x) (* (pow B 2) (+ (* -1/24 (* (pow B 2) x)) (* 1/2 x)))) 1) |
(- (+ (* -1 x) (* (pow B 2) (+ (* 1/2 x) (* (pow B 2) (+ (* -1/24 x) (* 1/720 (* (pow B 2) x))))))) 1) |
(/ (+ (* 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 (* -1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2))) |
(+ (* -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))) |
(* -2/945 (pow B 5)) |
(* -1 (* (pow B 5) (+ 2/945 (* 1/45 (/ 1 (pow B 2)))))) |
(* (pow B 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (pow B 2))) 2/945)) |
(* (pow B 5) (- (/ 1 (pow B 6)) (+ 2/945 (+ (/ 1/3 (pow B 4)) (* 1/45 (/ 1 (pow B 2))))))) |
(* 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 (* x (cos B))) 1) (sin B)) |
(- (* -1 (* x (cos B))) 1) |
(/ (cos B) (sin B)) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
(cos B) |
(* -1 (* (pow B 5) (+ 2/945 (+ (/ 1/3 (pow B 4)) (* 1/45 (/ 1 (pow B 2))))))) |
(* -1 (* (pow B 5) (- (+ 2/945 (+ (/ 1/3 (pow B 4)) (* 1/45 (/ 1 (pow B 2))))) (/ 1 (pow B 6))))) |
(* -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)))))) |
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(* (/ 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))))))))) |
(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)))))))))) |
(+ (* 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 (* (* 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)))))))))) |
(+ (* -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))))) |
(* (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)) |
(* (/ (* (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)))))) |
(* x (- (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* -1 (* x (cos B))) |
(* x (- (* -1 (cos B)) (/ 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)))))) |
(* (/ (* 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 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B)))) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x))))) |
(* (/ (* (sqrt -1) (* (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 (* x (+ (/ 1 (* x (sin B))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (cos B) (/ 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))))) |
(* (/ (* 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)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (* -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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(+ (* (/ 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) |
(+ (* (/ 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 #s(literal 3/8 binary64) (/.f64 #s(literal 1 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 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(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)))) |
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (/ x B)) |
(/.f64 (neg.f64 x) B) |
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (neg.f64 x)) B) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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) (/.f64 #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 #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 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) B)) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(-.f64 (*.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) 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) |
(-.f64 (*.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) x) |
F |
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) 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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(* F (sqrt (/ 1 (+ 2 (* 2 x))))) |
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(* 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))))))))) |
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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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(/ 1 (* F (sin B))) |
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(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x) B) |
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(/ (- (* -1 x) 1) B) |
(/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) B) |
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(- (* -1 x) 1) |
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(- (+ (* -1 x) (* (pow B 2) (+ (* 1/2 x) (* (pow B 2) (+ (* -1/24 x) (* 1/720 (* (pow B 2) x))))))) 1) |
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(* -2/945 (pow B 5)) |
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(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
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(- (* -1 (* x (cos B))) 1) |
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(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
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(cos B) |
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(* (sqrt (/ 1 x)) (sqrt 1/2)) |
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(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))) |
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))) |
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(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
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(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1)) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
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(* (/ (* (sqrt 1/2) (+ F (* 1/6 (* (pow B 2) F)))) B) (sqrt (/ 1 x))) |
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(+ (* -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)))))) |
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(* x (- (* -1 (cos B)) (/ 1 x))) |
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(*.f64 (fma.f64 (/.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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 F 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) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) B)) (neg.f64 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 (fma.f64 (/.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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 F B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 F B))) (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) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) B)) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (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)) (neg.f64 x)) |
(* -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 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (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) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 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 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 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)))) (*.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) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 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)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) 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)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 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 -1/8 binary64) (*.f64 (/.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 B B) F) #s(literal 1/6 binary64) F) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B))) (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)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B)) (sqrt.f64 x)) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 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))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) 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)) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (/ 1 (* x (sin B))) (/ (cos B) (sin B))))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (sin.f64 B)) (neg.f64 x)) |
(* -1 (* x (+ (cos B) (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (neg.f64 x)) |
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) |
(*.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))) |
(+ (* -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 #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)))) |
(+ (* -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 #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)))) (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)))) (*.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))))) |
(+ (* -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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 x)) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 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))))) |
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 474 |
| 0 | 116 | 452 |
| 1 | 464 | 430 |
| 2 | 3284 | 430 |
| 0 | 9516 | 430 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (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) x) (neg.f64 x)) B)) |
(/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B) |
#s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) |
(neg.f64 x) |
(*.f64 F #s(literal 1 binary64)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) |
(/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B) |
(-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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) |
(/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
(neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B)) |
(fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) |
(/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
#s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(cos.f64 B) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.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))) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.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))) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.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))) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.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))) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (/.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 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.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 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.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 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (fma.f64 (/.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 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 F (neg.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 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 F (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 F (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.f64 (*.f64 F (neg.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 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 F (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.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)) (neg.f64 F)) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (tan.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)) (neg.f64 F)) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.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)) (neg.f64 F)) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 (tan.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)) (neg.f64 F)) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (tan.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)) (neg.f64 F)) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.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))) F) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.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))) F) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.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))) F) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.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))) F) (tan.f64 B) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.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))) F) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 F) (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 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 F) (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 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 (/.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)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (neg.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 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.f64 (neg.f64 (/.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)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (neg.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 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 F) (tan.f64 B) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (neg.f64 F) (neg.f64 (tan.f64 B)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (neg.f64 F) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.f64 (neg.f64 F) (tan.f64 B) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (neg.f64 F) (neg.f64 (tan.f64 B)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) x)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (neg.f64 (tan.f64 B))) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (neg.f64 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.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))))) (*.f64 (neg.f64 x) #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))))) (tan.f64 B))) |
(/.f64 (fma.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))))) (*.f64 (neg.f64 x) #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))))) (neg.f64 (tan.f64 B)))) |
(/.f64 (fma.f64 F (neg.f64 (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 (neg.f64 (tan.f64 B))))) |
(/.f64 (fma.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))))) (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))))) (tan.f64 B))) |
(/.f64 (fma.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))))) 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 (fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (tan.f64 B) (*.f64 F (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 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (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)) (neg.f64 F)))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (tan.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))) F))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)) (*.f64 (tan.f64 B) (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
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F |
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(exp.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.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))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.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))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(fma.f64 (neg.f64 (sin.f64 B)) #s(literal 0 binary64) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 B) #s(literal 0 binary64) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 B) (*.f64 #s(literal 0 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 B) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B)))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 B)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) B)) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 B)))) |
(cos.f64 (neg.f64 (neg.f64 B))) |
(cos.f64 (neg.f64 B)) |
(cos.f64 B) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 B)) (*.f64 #s(literal 0 binary64) (sin.f64 B))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 B)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 B)) #s(literal 0 binary64)) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 B) #s(literal 0 binary64)) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
Compiled 42 890 to 3 509 computations (91.8% saved)
58 alts after pruning (56 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 684 | 28 | 712 |
| Fresh | 14 | 28 | 42 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 701 | 58 | 759 |
| Status | Accuracy | Program |
|---|---|---|
| 84.7% | (fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 51.7% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 84.8% | (fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (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))) | |
| 51.7% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 69.8% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 46.9% | (/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| ▶ | 84.9% | (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 53.1% | (+.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 46.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 55.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) | |
| 35.3% | (+.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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B))) | |
| 34.3% | (+.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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) #s(literal 1 binary64))) B))) | |
| 60.3% | (+.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)))))))) | |
| 30.3% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1 binary64) (sin.f64 B)))) | |
| 28.6% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) F)) B) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))) | |
| 27.0% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))))) | |
| 44.0% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 43.9% | (+.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 44.1% | (+.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)))) (/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 26.6% | (+.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))) (/.f64 #s(literal -1 binary64) F)))) | |
| 44.0% | (+.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 44.1% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 19.1% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) | |
| 31.5% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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)))) | |
| ▶ | 52.4% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
| 53.0% | #s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 54.1% | #s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) | |
| 53.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) | |
| ▶ | 44.8% | #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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
| ✓ | 53.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
| 28.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos B) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B)) #s(literal 1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 B))) | |
| 28.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos B) (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 B))) | |
| 44.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) | |
| 14.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 F))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 21.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.f64 F)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| ▶ | 14.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
| 44.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 27.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B)) | |
| 44.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 28.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) | |
| 27.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) | |
| 28.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) | |
| 14.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) | |
| 24.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) | |
| 20.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) | |
| 28.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) | |
| ▶ | 28.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
| 19.6% | #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) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) | |
| ✓ | 27.0% | #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) x) (neg.f64 x)) B)) |
| 28.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/720 binary64))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64))) (sin.f64 B))) | |
| 36.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (sin.f64 B))) | |
| 52.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 44.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (/.f64 x B))) | |
| 15.4% | #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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) | |
| 20.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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)))) | |
| 17.3% | #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) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) | |
| 28.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) | |
| 49.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (sin.f64 B)) (neg.f64 x)))) |
Compiled 5 586 to 3 659 computations (34.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (cos.f64 B) (sin.f64 B)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) | |
| cost-diff | 0 | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) | |
| cost-diff | 1 | (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) | |
| cost-diff | 1 | (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B) | |
| cost-diff | 8 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) 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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) | |
| cost-diff | 2 | (*.f64 F #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #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 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 618 |
| 0 | 117 | 576 |
| 1 | 217 | 566 |
| 2 | 460 | 566 |
| 3 | 1183 | 551 |
| 4 | 3275 | 547 |
| 5 | 7429 | 547 |
| 0 | 8067 | 540 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.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 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) |
F |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
(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 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) |
#s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
(/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B) |
(-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) |
(/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) |
(*.f64 F #s(literal 1 binary64)) |
F |
#s(literal 1 binary64) |
#s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 x) |
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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 F F)) |
#s(literal 2 binary64) |
x |
(*.f64 F F) |
F |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 B B) |
B |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(neg.f64 x) |
x |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(cos.f64 B) |
B |
(sin.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 x (tan.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 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))))) |
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) |
F |
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) |
#s(literal 2 binary64) |
x |
(fma.f64 F F #s(literal 2 binary64)) |
(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 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) |
#s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B)) |
(/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B) |
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B) |
(-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) |
(-.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) |
(/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) |
(/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 F #s(literal 1 binary64)) |
F |
F |
#s(literal 1 binary64) |
#s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 x) |
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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (*.f64 #s(literal 1/6 binary64) F) (/.f64 F B)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) B (/.f64 (neg.f64 x) B)))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (*.f64 #s(literal 1/6 binary64) F) (/.f64 F B)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) B (/.f64 (neg.f64 x) B))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #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) |
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.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 (*.f64 F F)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 F F)) |
#s(literal 2 binary64) |
x |
(*.f64 F F) |
F |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) |
(neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) F) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 B B) |
B |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(neg.f64 x) |
x |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(cos.f64 B) |
B |
(sin.f64 B) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 B) | |
| accuracy | 0.12109375 | (/.f64 (cos.f64 B) (sin.f64 B)) | |
| accuracy | 0.12109375 | (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) | |
| accuracy | 14.445168373047387 | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) | |
| accuracy | 3.2203440488387773 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) | |
| accuracy | 5.213891440952363 | (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B) | |
| accuracy | 8.586956452514299 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) | |
| accuracy | 20.25866678221637 | #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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) | |
| accuracy | 0.078125 | (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) | |
| accuracy | 0.27962875976844204 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) | |
| accuracy | 20.521260296683714 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) | |
| accuracy | 25.71477193523197 | #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.0 | (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) | |
| accuracy | 0.03515625 | (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) | |
| accuracy | 20.521260296683714 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) | |
| accuracy | 26.44839423712083 | #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) | |
| accuracy | 0.0546875 | (/.f64 x (tan.f64 B)) | |
| accuracy | 0.078125 | (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) | |
| accuracy | 0.5976811961398267 | (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) | |
| accuracy | 8.844988999496525 | (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) |
| 136.0ms | 147× | 0 | valid |
| 83.0ms | 109× | 0 | invalid |
Compiled 547 to 65 computations (88.1% saved)
ival-cos: 51.0ms (26.2% of total)ival-sin: 37.0ms (19% of total)ival-sqrt: 26.0ms (13.4% of total)ival-mult: 22.0ms (11.3% of total)ival-div: 20.0ms (10.3% of total)ival-add: 11.0ms (5.7% of total)ival-pow: 10.0ms (5.1% of total)const: 6.0ms (3.1% of total)ival-tan: 5.0ms (2.6% of total)ival-sub: 3.0ms (1.5% of total)ival-neg: 3.0ms (1.5% of total)exact: 1.0ms (0.5% of total)adjust: 0.0ms (0% 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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.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 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) |
#s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) |
(*.f64 F #s(literal 1 binary64)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
(/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B) |
(-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B) |
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(neg.f64 x) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 x (tan.f64 B)) |
#s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) |
(cos.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)))))))))) |
(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) |
F |
(- (* 1/3 (* (pow B 2) x)) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x))))))))) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* -1/12 (* (pow B 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))))))) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (+ (* -1/12 (* (pow B 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 1/16 (* (pow B 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))))) x) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* B (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) (/ x B)) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* B (sqrt (/ 1 (+ 2 (* 2 x)))))) (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/12 (* B (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))))))) (/ x B)) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* B (sqrt (/ 1 (+ 2 (* 2 x)))))) (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/12 (* B (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 1/16 (* B (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))))) (/ x B)) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ (* -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)))))))))) |
(sqrt (/ 1 (+ 2 (* 2 x)))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) |
(* 1/3 (* (pow B 2) x)) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* 1/3 (* (pow B 2) x))) |
(+ (* 1/3 (* (pow B 2) x)) (* F (+ (* -1/12 (* (* (pow B 2) (pow F 2)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/12 (* (pow B 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow B 2) (pow F 2)) (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)))))) |
(* 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 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))) 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))) (+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))))) 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))) (+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/12 (/ (* (pow B 2) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))))))) x) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 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)))) (+ (* -1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* B (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 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)))) (+ (* -1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* B (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/12 (/ (* B (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 1 B)))))))) (/ x B)) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 F) |
(/ (+ 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 B 2) (+ 1/6 (* 1/3 x))) |
(+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (* (pow B 2) (+ 1/6 (* 1/3 x)))) |
(+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* (pow B 2) (+ 1/6 (* 1/3 x))))) |
(+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/12 (/ (* (pow B 2) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))) |
(* -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 (/ (+ 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)) |
(- (* (pow B 2) (- (* 1/3 x) 1/6)) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* (pow B 2) (- (* 1/3 x) 1/6)))) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 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))) (* (pow B 2) (- (* 1/3 x) 1/6)))))) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/12 (/ (* (pow B 2) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 1/2 (/ (+ 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))) (* (pow B 2) (- (* 1/3 x) 1/6)))))))) (+ 1 x)) |
(/ (- (* (pow B 2) (- (* 1/3 x) 1/6)) (+ 1 x)) B) |
(- (+ (* 1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* B (- (* 1/3 x) 1/6)))) (+ (/ 1 B) (/ x B))) |
(- (+ (* 1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* B (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 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)))) (* B (- (* 1/3 x) 1/6)))))) (+ (/ 1 B) (/ x B))) |
(- (+ (* 1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* B (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/12 (/ (* B (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 1/2 (/ (+ 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)))) (* B (- (* 1/3 x) 1/6)))))))) (+ (/ 1 B) (/ x 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) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* (pow B 2) (- (* 1/3 x) 1/6)) |
(+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (* (pow B 2) (- (* 1/3 x) 1/6))) |
(+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* (pow B 2) (- (* 1/3 x) 1/6)))) |
(+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/12 (/ (* (pow B 2) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* (pow B 2) (- (* 1/3 x) 1/6))))) |
(/ (- (* 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) |
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) |
(/ (+ (* -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 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 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) |
(/ 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) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))) |
(+ 1 (* -1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2))) |
(- (* (/ 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)))))) |
(* (pow B 2) (- (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (/ x (pow B 2)))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))) |
(* B (- (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (/ x (pow B 2)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(/ (cos B) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(cos B) |
(* -1 (* B (+ (* -1 (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))) (* -1 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) (pow B 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* -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))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) 1)))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) 1)))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/12 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) 1)))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) B) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))) (* x (+ (* 1/4 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))) (* x (+ (* 1/4 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/12 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ 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)))))) |
(* (sqrt x) (sqrt 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))))))))) |
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* (pow B 2) (* x (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ (* 1/4 (* (* (pow B 2) (* F x)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ (* x (+ (* -5/12 (* (* (pow B 2) (* F x)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))))) |
(* 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 (+ (* 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 (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* (pow B 2) (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))))) 1)) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* B (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* B (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* B (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))))))) (/ 1 B))) |
(* 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))))) |
(* x (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* 1/3 (pow B 2)))) |
(* x (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* 1/3 (pow B 2))))) |
(* x (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* (pow B 2) (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* 1/3 (pow B 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 (* -1/3 (pow B 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* -1/96 (* (/ (* (pow B 2) (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt x))) (* -1/96 (* (/ (* B (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 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))))) |
(* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x))))) x)) (* -1/3 (pow B 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/96 (* (/ (* (pow B 2) (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))))) x)) (* -1/3 (pow B 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | B | @ | inf | ((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (+ (+ (* 2 x) (* F F)) 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (/ x (tan B)) (sqrt (+ (* x 2) (+ (* F F) 2))) (* (sqrt 2) (sqrt x)) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (cos B)) |
| 7.0ms | x | @ | -inf | ((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (+ (+ (* 2 x) (* F F)) 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (/ x (tan B)) (sqrt (+ (* x 2) (+ (* F F) 2))) (* (sqrt 2) (sqrt x)) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (cos B)) |
| 6.0ms | x | @ | inf | ((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (+ (+ (* 2 x) (* F F)) 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (/ x (tan B)) (sqrt (+ (* x 2) (+ (* F F) 2))) (* (sqrt 2) (sqrt x)) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (cos B)) |
| 6.0ms | x | @ | 0 | ((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (+ (+ (* 2 x) (* F F)) 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (/ x (tan B)) (sqrt (+ (* x 2) (+ (* F F) 2))) (* (sqrt 2) (sqrt x)) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (cos B)) |
| 5.0ms | B | @ | -inf | ((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (* F 1) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (+ (+ (* 2 x) (* F F)) 2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (/ x (tan B)) (sqrt (+ (* x 2) (+ (* F F) 2))) (* (sqrt 2) (sqrt x)) (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (cos B)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1365 | 12255 |
| 1 | 4853 | 12172 |
| 0 | 8512 | 11074 |
| 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) |
F |
(- (* 1/3 (* (pow B 2) x)) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x))))))))) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* -1/12 (* (pow B 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))))))) x) |
(- (+ (* 1/3 (* (pow B 2) x)) (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (+ (* -1/12 (* (pow B 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 1/16 (* (pow B 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))))) x) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* B (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) (/ x B)) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* B (sqrt (/ 1 (+ 2 (* 2 x)))))) (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* -1/12 (* B (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))))))) (/ x B)) |
(- (+ (* 1/3 (* B x)) (* F (+ (* 1/6 (* B (sqrt (/ 1 (+ 2 (* 2 x)))))) (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (+ (* -1/12 (* B (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* 1/16 (* B (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 3/8 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))))) (/ x B)) |
(+ 2 (* 2 x)) |
(+ 2 (+ (* 2 x) (pow F 2))) |
(+ (* -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)))))))))) |
(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)))))))) |
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(* 1/3 (* (pow B 2) x)) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* 1/3 (* (pow B 2) x))) |
(+ (* 1/3 (* (pow B 2) x)) (* F (+ (* -1/12 (* (* (pow B 2) (pow F 2)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x))))))))) |
(+ (* 1/3 (* (pow B 2) x)) (* F (+ (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/12 (* (pow B 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow B 2) (pow F 2)) (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))) |
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(- (+ (* -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))))) |
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(* 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)) |
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(- 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) |
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(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
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(- (+ 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))) (+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))))) 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))) (+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/12 (/ (* (pow B 2) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))))))) x) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 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)))) (+ (* -1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* B (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 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)))) (+ (* -1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* B (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/12 (/ (* B (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* B (+ 1/6 (* 1/3 x))) (/ 1 B)))))))) (/ x B)) |
(pow F 2) |
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))) |
(/ 1 F) |
(/ (+ 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 B 2) (+ 1/6 (* 1/3 x))) |
(+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (* (pow B 2) (+ 1/6 (* 1/3 x)))) |
(+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* (pow B 2) (+ 1/6 (* 1/3 x))))) |
(+ (* -1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/12 (/ (* (pow B 2) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* (pow B 2) (+ 1/6 (* 1/3 x)))))) |
(* -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 (/ (+ 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)) |
(- (* (pow B 2) (- (* 1/3 x) 1/6)) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* (pow B 2) (- (* 1/3 x) 1/6)))) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 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))) (* (pow B 2) (- (* 1/3 x) 1/6)))))) (+ 1 x)) |
(- (+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/12 (/ (* (pow B 2) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 1/2 (/ (+ 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))) (* (pow B 2) (- (* 1/3 x) 1/6)))))))) (+ 1 x)) |
(/ (- (* (pow B 2) (- (* 1/3 x) 1/6)) (+ 1 x)) B) |
(- (+ (* 1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* B (- (* 1/3 x) 1/6)))) (+ (/ 1 B) (/ x B))) |
(- (+ (* 1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* B (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 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)))) (* B (- (* 1/3 x) 1/6)))))) (+ (/ 1 B) (/ x B))) |
(- (+ (* 1/12 (/ (* B (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* B (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/12 (/ (* B (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 1/2 (/ (+ 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)))) (* B (- (* 1/3 x) 1/6)))))))) (+ (/ 1 B) (/ x 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) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)) |
(* (pow B 2) (- (* 1/3 x) 1/6)) |
(+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (* (pow B 2) (- (* 1/3 x) 1/6))) |
(+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (* (pow B 2) (- (* 1/3 x) 1/6)))) |
(+ (* 1/12 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 1/12 (/ (* (pow B 2) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* 1/12 (/ (* (pow B 2) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (* (pow B 2) (- (* 1/3 x) 1/6))))) |
(/ (- (* 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) |
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) |
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) |
(/ (+ (* -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 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 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) |
(/ 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) |
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))) |
(+ 1 (* -1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2))) |
(- (* (/ 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)))))) |
(* (pow B 2) (- (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (/ x (pow B 2)))) |
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))) |
(* B (- (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (/ x (pow B 2)))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) |
(/ (cos B) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(cos B) |
(* -1 (* B (+ (* -1 (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))) (* -1 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) (pow B 2)))))) |
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) |
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* -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))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) 1)))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) 1)))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (- (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* x (+ (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/12 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) 1)))) |
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) B) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))) (* x (+ (* 1/4 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ (* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* B (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))) (* x (+ (* 1/4 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (+ (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* x (+ (* -5/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* -5/12 (* (* B F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7)))))))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))) |
(+ 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)))))) |
(* (sqrt x) (sqrt 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))))))))) |
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* (pow B 2) (* x (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ (* 1/4 (* (* (pow B 2) (* F x)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))))) |
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* x (+ (* x (+ (* -5/12 (* (* (pow B 2) (* F x)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 1/4 (* (* (pow B 2) F) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (pow B 2) (+ 1/3 (* -1/6 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))))))))) |
(* 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 (+ (* 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 (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))) 1)) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* (pow B 2) (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))))))) 1)) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* B (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))))) (/ 1 B))) |
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/48 (* (/ (* B (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* B (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* B (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 B) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))))))) (/ 1 B))) |
(* 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))))) |
(* x (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* 1/3 (pow B 2)))) |
(* x (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* 1/3 (pow B 2))))) |
(* x (+ (* -1/48 (* (/ (* (pow B 2) (* F (+ 2 (pow F 2)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/96 (* (/ (* (pow B 2) (* F (pow (+ 2 (pow F 2)) 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* 1/3 (pow B 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 (* -1/3 (pow B 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* -1/96 (* (/ (* (pow B 2) (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt x))) (* -1/96 (* (/ (* B (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 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))))) |
(* -1 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x))))) x)) (* -1/3 (pow B 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/96 (* (/ (* (pow B 2) (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))))) x)) (* -1/3 (pow B 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))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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 #s(literal 3/8 binary64) (/.f64 #s(literal 1 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 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (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))))) |
(*.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)))))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (neg.f64 x)) B) |
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) 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 #s(literal -1/2 binary64) (/.f64 #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 #s(literal 1 binary64) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) B)) |
(* -1 x) |
(neg.f64 x) |
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) x) |
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) x) |
(-.f64 (*.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) 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) |
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F |
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1 |
#s(literal 1 binary64) |
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(sqrt (+ 2 (pow F 2))) |
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(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) B) |
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(+ 2 (pow F 2)) |
(fma.f64 F F #s(literal 2 binary64)) |
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(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(sqrt (/ 1 (+ 2 (pow F 2)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) |
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(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (pow F 2)))))) |
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(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B)))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))) |
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(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) |
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(+ (* -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)))))) |
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(* (* F (sqrt 1/2)) (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) |
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) F) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) |
(+ (* -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))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 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 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) F) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)))) |
(+ (* -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)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.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))) F) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 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 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) F) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) x) |
(* 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))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) x) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (/.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) x) |
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))) |
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(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))))) (/ 1 B))) |
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(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1)) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) #s(literal 1 binary64)) x) |
(* 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)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) #s(literal 1 binary64))) x) |
(* 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)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) F) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) F) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) #s(literal 1 binary64))) x) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(* x (- (+ (* 1/6 (* (* (pow B 2) (* F (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/3 (pow B 2)) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1)) |
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(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt x))) (* -1/96 (* (/ (* B (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/48 (* (/ (* B (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/6 (* (* B (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))))) x)) (+ (* -1/3 B) (/ 1 B))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 B F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 x)) #s(literal -1/96 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B)) (sqrt.f64 x)) #s(literal -1/16 binary64))) (neg.f64 (pow.f64 x #s(literal 3 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))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 B F) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x) #s(literal -1 binary64) (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)))) |
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 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))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (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)))) (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 (* x (+ (* -1/3 (pow B 2)) (* -1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 B B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 B B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x))))) x)) (* -1/3 (pow B 2))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) (/.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 B B) (/.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 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 B B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/48 (* (/ (* (pow B 2) (* F (* (sqrt -1) (+ 2 (pow F 2))))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/96 (* (/ (* (pow B 2) (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/6 (* (* (pow B 2) (* F (* (sqrt -1) (sqrt -1/2)))) (sqrt (/ 1 x)))))) x)) (* -1/3 (pow B 2))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) (/.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 B B) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 B B) (/.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)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 B B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 506 |
| 0 | 117 | 454 |
| 1 | 452 | 439 |
| 2 | 3231 | 432 |
| 0 | 8710 | 425 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.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 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (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)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
(/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) |
(-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) |
#s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) |
(*.f64 F #s(literal 1 binary64)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
(/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B) |
(-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B) |
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(neg.f64 x) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 x (tan.f64 B)) |
#s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) |
(cos.f64 B) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 F (tan.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)) (sin.f64 B))) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.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 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (neg.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.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 3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (tan.f64 B)) (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 F (tan.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)))) (neg.f64 (neg.f64 (*.f64 (tan.f64 B) (sin.f64 B))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.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 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 x (tan.f64 B)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.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))) (pow.f64 (/.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 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 F (sin.f64 B)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))))) (neg.f64 (neg.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)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))))) |
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(-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) |
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F |
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(*.f64 (neg.f64 B) (*.f64 (neg.f64 B) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (*.f64 B B) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) |
(*.f64 B (*.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) B)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (*.f64 B B))) (neg.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (*.f64 B B))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (*.f64 B B)) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (*.f64 B B)) (fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))) |
(/.f64 (*.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (*.f64 (*.f64 B B) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 B B) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 B B))) |
(fma.f64 (*.f64 B B) (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 B B) (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 B B) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 B B))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 B B)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 B B))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 B B)) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 B B))) |
(+.f64 (*.f64 (*.f64 B B) (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (*.f64 (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 B B) (/.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) |
(fma.f64 (neg.f64 (sin.f64 B)) #s(literal 0 binary64) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 B) (*.f64 #s(literal 0 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 B) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B)))) |
(fma.f64 (sin.f64 B) #s(literal 0 binary64) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 B)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) B)) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 B)))) |
(cos.f64 (neg.f64 (neg.f64 B))) |
(cos.f64 (neg.f64 B)) |
(cos.f64 B) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 B)) (*.f64 #s(literal 0 binary64) (sin.f64 B))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 B)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 B)) #s(literal 0 binary64)) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 B) #s(literal 0 binary64)) (*.f64 (cos.f64 B) #s(literal 1 binary64))) |
Compiled 68 808 to 5 431 computations (92.1% saved)
69 alts after pruning (66 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 952 | 41 | 993 |
| Fresh | 26 | 25 | 51 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 982 | 69 | 1 051 |
| Status | Accuracy | Program |
|---|---|---|
| 51.7% | (fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 51.7% | (fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 46.9% | (/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 58.6% | (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) | |
| 84.8% | (-.f64 (/.f64 F (*.f64 (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))) | |
| 46.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) | |
| 55.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) | |
| 30.3% | (+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1 binary64) (sin.f64 B)))) | |
| 26.6% | (+.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))) (/.f64 #s(literal -1 binary64) F)))) | |
| 44.0% | (+.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) | |
| 31.5% | #s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* 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)))) | |
| 52.5% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))) | |
| 52.5% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B))) | |
| 52.5% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) | |
| 52.4% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x)) | |
| 27.0% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B)) #s(literal 1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))) (sin.f64 B)))) | |
| 27.0% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 B)))) | |
| 6.2% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B))))) | |
| 27.1% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) | |
| 27.1% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) | |
| 27.4% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) | |
| 27.0% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)))) | |
| 27.2% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 B) B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))) | |
| 27.5% | #s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) | |
| 53.0% | #s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) | |
| 54.1% | #s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) | |
| 43.8% | #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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (/.f64 #s(literal -1 binary64) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) | |
| 44.9% | #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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (*.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) B) B) x)) B)) | |
| 44.0% | #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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 #s(approx (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B))) x)) B)) | |
| 27.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* 2 x) (* F F)) 2) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) | |
| 35.3% | #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) #s(approx (+ (+ (* 2 x) (* F F)) 2) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 F F))))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) | |
| ✓ | 53.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
| 28.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos B) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B)) #s(literal 1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 B))) | |
| 25.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) B)) | |
| 44.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) x) B)) | |
| 14.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 F) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) | |
| 7.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 F))) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) | |
| 6.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.f64 F)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) | |
| 44.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 27.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) x) B)) | |
| 14.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) | |
| 44.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B)) | |
| 14.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) | |
| 27.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) | |
| 28.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) | |
| 14.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) | |
| 21.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) | |
| 24.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) | |
| 20.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) | |
| 28.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) | |
| ✓ | 28.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) |
| 19.6% | #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) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) | |
| ✓ | 27.0% | #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) x) (neg.f64 x)) B)) |
| 19.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) | |
| 28.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) | |
| 28.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) | |
| 27.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) | |
| 27.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) | |
| 28.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/720 binary64))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64))) (sin.f64 B))) | |
| 36.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (sin.f64 B))) | |
| 44.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (/.f64 x B))) | |
| 28.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) | |
| 15.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) | |
| 20.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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)))) | |
| 17.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) | |
| 15.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (-.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) F) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) 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 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) B))) (/.f64 (+.f64 #s(literal 1 binary64) x) B)))) | |
| 20.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (fma.f64 (/.f64 #s(literal -1/12 binary64) F) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B)))) (/.f64 x B)))) | |
| 3.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) B))) | |
| 49.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (sin.f64 B)) (neg.f64 x)))) |
Compiled 10 412 to 3 073 computations (70.5% 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos B) (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* 2 x) (* F F)) 2) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 F F))))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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 (+ (* 2 x) (+ (* 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 #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))) (/.f64 #s(literal -1 binary64) 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)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (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)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.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 (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 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 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 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 F) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B)) #s(literal 1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos B) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B)) #s(literal 1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/720 binary64))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64))) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #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 (/.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)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) 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 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (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 1/45 binary64) x (*.f64 (fma.f64 (neg.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 F #s(literal -7/2160 binary64)))) (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 1/105 binary64) x (*.f64 x #s(literal -1/135 binary64)))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) 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) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (sin.f64 B)) (neg.f64 x)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(-.f64 (/.f64 F (*.f64 (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))) |
#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 (*.f64 (neg.f64 x) (cos.f64 B))) (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 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))) |
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (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))) |
(fma.f64 F (/.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)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.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 (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) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(fma.f64 F (/.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 (neg.f64 x) (tan.f64 B))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B) (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) (/.f64 F (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (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 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #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 (-.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 F (sin.f64 B)) #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)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #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)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))) |
4 calls:
| 75.0ms | B |
| 46.0ms | F |
| 32.0ms | x |
| 32.0ms | (+.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 |
|---|---|---|
| 87.0% | 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)))))) |
| 99.7% | 3 | F |
| 84.9% | 1 | B |
| 84.9% | 1 | x |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) 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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 B) B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 #s(approx (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.f64 F)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 F))) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) 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))) #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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) |
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(-.f64 (/.f64 F (*.f64 (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))) |
#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 (*.f64 (neg.f64 x) (cos.f64 B))) (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 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))) |
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (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))) |
(fma.f64 F (/.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)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.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 (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) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #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)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))) |
1 calls:
| 39.0ms | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) 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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 B) B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 #s(approx (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.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 (-.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 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (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 1/45 binary64) x (*.f64 (fma.f64 (neg.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 F #s(literal -7/2160 binary64)))) (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 1/105 binary64) x (*.f64 x #s(literal -1/135 binary64)))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) 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) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (sin.f64 B)) (neg.f64 x)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(-.f64 (/.f64 F (*.f64 (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))) |
#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 (*.f64 (neg.f64 x) (cos.f64 B))) (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 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))) |
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (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))) |
(fma.f64 F (/.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)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 F (*.f64 (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 (*.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 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))) |
1 calls:
| 83.0ms | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) 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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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 (fma.f64 #s(literal -1 binary64) x #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 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (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 1/45 binary64) x (*.f64 (fma.f64 (neg.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 F #s(literal -7/2160 binary64)))) (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 1/105 binary64) x (*.f64 x #s(literal -1/135 binary64)))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) 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) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (sin.f64 B)) (neg.f64 x)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
(-.f64 (/.f64 F (*.f64 (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))) |
#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 (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 F (*.f64 (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))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
1 calls:
| 64.0ms | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) |
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(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #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 (/.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)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) 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 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (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 1/45 binary64) x (*.f64 (fma.f64 (neg.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 F #s(literal -7/2160 binary64)))) (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 1/105 binary64) x (*.f64 x #s(literal -1/135 binary64)))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) 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) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (sin.f64 B)) (neg.f64 x)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
1 calls:
| 36.0ms | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/720 binary64))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64))) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #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 (/.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)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) 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 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (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 1/45 binary64) x (*.f64 (fma.f64 (neg.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 F #s(literal -7/2160 binary64)))) (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 1/105 binary64) x (*.f64 x #s(literal -1/135 binary64)))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) 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) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (sin.f64 B)) (neg.f64 x)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal -1 binary64) F)))) |
(+.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)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 #s(approx (/ 1 (+ (* F F) 2)) #s(literal 1/2 binary64)))))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
1 calls:
| 312.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/720 binary64))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64))) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #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 (/.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)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) 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 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 binary64) F)) (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 1/45 binary64) x (*.f64 (fma.f64 (neg.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 F #s(literal -7/2160 binary64)))) (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 1/105 binary64) x (*.f64 x #s(literal -1/135 binary64)))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) 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) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 B)) (sin.f64 B)) (neg.f64 x)))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 F (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
#s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
1 calls:
| 26.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 4 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/720 binary64))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64))) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #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 (/.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)))))))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x) 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 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
4 calls:
| 46.0ms | F |
| 44.0ms | B |
| 30.0ms | x |
| 26.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 2 | B |
| 78.2% | 3 | x |
| 78.1% | 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)))))) |
| 83.3% | 3 | F |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) 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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (/.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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))) |
| Outputs |
|---|
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
2 calls:
| 25.0ms | F |
| 24.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | x |
| 78.0% | 3 | F |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) 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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 B) B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 #s(approx (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.f64 F)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 F))) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) 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))) #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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (/.f64 #s(literal -1 binary64) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) 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)))) (/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (/.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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (-.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) F) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) 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 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 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))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* 2 x) (* F F)) 2) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (*.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) B) B) x)) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (fma.f64 (/.f64 #s(literal -1/12 binary64) F) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B)))) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B))))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos B) (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* 2 x) (* F F)) 2) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 F F))))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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 (+ (* 2 x) (+ (* 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 #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))) (/.f64 #s(literal -1 binary64) 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)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (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)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.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 (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 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 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 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 F) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B)) #s(literal 1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos B) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B)) #s(literal 1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/720 binary64))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64))) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #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 (/.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)))))))) |
| Outputs |
|---|
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
2 calls:
| 25.0ms | x |
| 24.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 5 | F |
| 77.4% | 3 | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
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(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) (fma.f64 (/.f64 #s(literal -1/12 binary64) F) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) F) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) B (/.f64 #s(literal 1 binary64) B)))) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (neg x) (cos B)) -1) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 B))))) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos B) (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* 2 x) (* F F)) 2) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 F F))))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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)))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (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 (+ (* 2 x) (+ (* 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 #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))) (/.f64 #s(literal -1 binary64) 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)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (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)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* 1/6 F) (* B B)) F)) (-.f64 (*.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 (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 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -7/360 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 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 F) #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B)) #s(literal 1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos B) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B)) #s(literal 1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (/.f64 (neg.f64 x) (tan.f64 B))) |
4 calls:
| 24.0ms | F |
| 23.0ms | B |
| 22.0ms | x |
| 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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 2 | B |
| 66.1% | 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)))))) |
| 72.0% | 5 | F |
| 70.9% | 3 | x |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) 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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 B) B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 #s(approx (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.f64 F)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 F))) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) 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))) #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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (/.f64 #s(literal -1 binary64) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) 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)))) (/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (/.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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (-.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) F) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) 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 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 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))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* 2 x) (* F F)) 2) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.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) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (*.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) B) B) x)) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (*.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) B) B) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
4 calls:
| 51.0ms | F |
| 19.0ms | x |
| 17.0ms | B |
| 16.0ms | (+.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 |
|---|---|---|
| 47.0% | 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)))))) |
| 50.5% | 3 | F |
| 44.9% | 1 | x |
| 44.9% | 1 | B |
Compiled 30 to 29 computations (3.3% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) 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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 B) B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 #s(approx (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.f64 F)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 F))) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) 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))) #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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (/.f64 #s(literal -1 binary64) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) 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)))) (/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (/.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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (-.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) F) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) B) 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 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 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))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* 2 x) (* F F)) 2) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) x)) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) F)) B) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (/.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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 18.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
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#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) x) B)) |
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#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
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(+.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 #s(literal 1/6 binary64) F) (*.f64 B B) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) #s(approx (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) (/.f64 #s(literal -1 binary64) F)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B)) 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)))) (/.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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.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 #s(literal 1/6 binary64) F) (*.f64 B B) F) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 B B)) x)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 16.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (-.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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal 1 binary64))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (fabs.f64 F) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) (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))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) B) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) 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) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 B) B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (-.f64 #s(approx (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B))) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 F) (sqrt.f64 F)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.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 (-.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 F))) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) x) B)) |
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (+ (* (* 1/6 F) (* B B)) 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))) #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 #s(literal 1/6 binary64) F) (*.f64 B B) F)) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 34.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #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 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 8.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 1 binary64)) #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 9.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) x) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.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) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 7.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) 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) 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 (-.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F) x) B)) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
4 calls:
| 8.0ms | (+.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)))))) |
| 6.0ms | F |
| 6.0ms | x |
| 6.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.9% | 1 | B |
| 40.8% | 3 | x |
| 38.1% | 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)))))) |
| 44.5% | 4 | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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))))) #s(approx (/ (- (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 7.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.5% | 4 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (*.f64 B B)) (+.f64 #s(literal 1 binary64) x))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (+.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F) 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 #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 B B)) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (neg x) (cos B)) -1) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 B B) (neg.f64 x)) #s(literal 1 binary64)) B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)) |
1 calls:
| 5.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.3% | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 B B) x)) B))) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
1 calls:
| 4.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.1% | 3 | F |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (* F (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin 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 #s(approx (/ (* F 1) (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (/.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 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)) |
1 calls:
| 3.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.9% | 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
3 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 | x |
| 1.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.2% | 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)))))) |
| 30.2% | 2 | x |
| 34.3% | 2 | F |
Compiled 29 to 26 computations (10.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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) 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 | B |
| 1.0ms | F |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.0% | 1 | x |
| 27.0% | 1 | B |
| 27.0% | 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)))))) |
| 27.0% | 1 | F |
Compiled 30 to 29 computations (3.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 3.6008457145773584e+164 | 1.5483545100411658e+165 |
| 34.0ms | -1.1331806998112662e+160 | -3.0351221676332157e+154 |
| 46.0ms | 240× | 0 | valid |
Compiled 906 to 677 computations (25.3% saved)
ival-tan: 10.0ms (25.5% of total)ival-pow: 8.0ms (20.4% of total)ival-mult: 6.0ms (15.3% of total)ival-div: 5.0ms (12.8% of total)ival-sin: 5.0ms (12.8% of total)ival-add: 3.0ms (7.7% of total)ival-neg: 2.0ms (5.1% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.6008457145773584e+164 | 1.5483545100411658e+165 |
| 1.0ms | -1.1331806998112662e+160 | -3.0351221676332157e+154 |
Compiled 879 to 668 computations (24% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 24.71635904956286 | 201869.9124337264 |
| 4.0ms | -2.394315534446976e+37 | -2.021699979785342e+31 |
| 28.0ms | 144× | 0 | valid |
| 3.0ms | 18× | 0 | invalid |
Compiled 557 to 420 computations (24.6% saved)
ival-div: 8.0ms (31.7% of total)ival-mult: 4.0ms (15.8% of total)ival-sin: 3.0ms (11.9% of total)ival-tan: 3.0ms (11.9% of total)ival-pow: 3.0ms (11.9% of total)ival-add: 2.0ms (7.9% of total)ival-neg: 1.0ms (4% 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)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 201869.9124337264 | 8827228858838498.0 |
| 0.0ms | -2.394315534446976e+37 | -2.021699979785342e+31 |
| 8.0ms | 48× | 0 | valid |
| 1.0ms | 6× | 0 | invalid |
Compiled 238 to 188 computations (21% saved)
ival-div: 1.0ms (14.3% of total)ival-add: 1.0ms (14.3% of total)ival-mult: 1.0ms (14.3% of total)ival-sin: 1.0ms (14.3% of total)ival-tan: 1.0ms (14.3% of total)ival-pow: 1.0ms (14.3% 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)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 0.00015044098633465726 | 0.9788350539932725 |
| 56.0ms | -133117.31028137854 | -0.0011804413896593959 |
| 66.0ms | 272× | 0 | valid |
| 5.0ms | 33× | 0 | invalid |
Compiled 1 392 to 1 047 computations (24.8% saved)
ival-pow: 13.0ms (27.5% of total)ival-mult: 8.0ms (16.9% of total)ival-tan: 7.0ms (14.8% of total)ival-div: 6.0ms (12.7% of total)ival-sin: 6.0ms (12.7% of total)ival-add: 4.0ms (8.5% of total)ival-neg: 3.0ms (6.3% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00015044098633465726 | 0.9788350539932725 |
| 27.0ms | -133117.31028137854 | -0.0011804413896593959 |
| 8.0ms | 48× | 0 | valid |
| 1.0ms | 4× | 0 | invalid |
Compiled 1 273 to 945 computations (25.8% saved)
ival-div: 1.0ms (14.7% of total)ival-add: 1.0ms (14.7% of total)ival-mult: 1.0ms (14.7% of total)ival-sin: 1.0ms (14.7% of total)ival-tan: 1.0ms (14.7% of total)ival-pow: 1.0ms (14.7% 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)ival-neg: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 9.649433608481187 | 24.71635904956286 |
| 37.0ms | -1.3615574597043335e-106 | -2.2303941542674233e-114 |
| 58.0ms | -3.7370277329394225e+50 | -4.0474780810427153e+43 |
| 84.0ms | 368× | 0 | valid |
| 8.0ms | 36× | 0 | invalid |
Compiled 1 442 to 1 074 computations (25.5% saved)
ival-mult: 33.0ms (41.3% of total)ival-div: 11.0ms (13.8% of total)ival-sin: 9.0ms (11.3% of total)ival-tan: 9.0ms (11.3% of total)ival-pow: 7.0ms (8.8% of total)ival-add: 6.0ms (7.5% of total)ival-neg: 3.0ms (3.8% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -1.3615574597043335e-106 | -2.2303941542674233e-114 |
| 5.0ms | -3.7370277329394225e+50 | -4.0474780810427153e+43 |
Compiled 1 092 to 809 computations (25.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 5.342577882246395e-74 | 9.094750911479802e-72 |
| 33.0ms | -6.961927737910677e-67 | -8.618273523118253e-76 |
| 46.0ms | 256× | 0 | valid |
Compiled 974 to 714 computations (26.7% saved)
ival-mult: 8.0ms (20.8% of total)ival-tan: 7.0ms (18.2% of total)ival-sin: 6.0ms (15.6% of total)ival-div: 5.0ms (13% of total)ival-pow: 5.0ms (13% of total)ival-add: 3.0ms (7.8% of total)ival-neg: 2.0ms (5.2% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 9.018110545098261e-45 | 5.339885507676656e-42 |
| 37.0ms | -0.006130674109284662 | -2.3974397017351644e-17 |
| 49.0ms | 288× | 0 | valid |
Compiled 930 to 710 computations (23.7% saved)
ival-mult: 7.0ms (17.4% of total)ival-sin: 7.0ms (17.4% of total)ival-pow: 7.0ms (17.4% of total)ival-div: 6.0ms (14.9% of total)ival-tan: 6.0ms (14.9% of total)ival-add: 4.0ms (10% of total)ival-neg: 2.0ms (5% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 7.87838492891295e-5 | 0.008517660476971445 |
| 15.0ms | 112× | 0 | valid |
Compiled 653 to 425 computations (34.9% saved)
ival-mult: 3.0ms (24.6% of total)ival-div: 2.0ms (16.4% of total)ival-add: 2.0ms (16.4% of total)ival-pow: 2.0ms (16.4% of total)ival-sin: 1.0ms (8.2% of total)ival-tan: 1.0ms (8.2% of total)ival-neg: 1.0ms (8.2% 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)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 8827228858838498.0 | 9.553279651468192e+27 |
| 27.0ms | -0.0011804413896593959 | -3.069598774659638e-5 |
| 21.0ms | 128× | 0 | valid |
| 2.0ms | 16× | 0 | invalid |
Compiled 1 038 to 674 computations (35.1% saved)
ival-mult: 4.0ms (20.6% of total)ival-tan: 4.0ms (20.6% of total)ival-div: 3.0ms (15.4% of total)ival-sin: 3.0ms (15.4% of total)ival-add: 2.0ms (10.3% of total)ival-pow: 2.0ms (10.3% of total)ival-neg: 1.0ms (5.1% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 9.649433608481187 | 24.71635904956286 |
| 2.0ms | -0.0011804413896593959 | -3.069598774659638e-5 |
| 8.0ms | 48× | 0 | valid |
| 1.0ms | 6× | 0 | invalid |
Compiled 1 590 to 942 computations (40.8% saved)
ival-div: 1.0ms (13.6% of total)ival-add: 1.0ms (13.6% of total)ival-mult: 1.0ms (13.6% of total)ival-sin: 1.0ms (13.6% of total)ival-tan: 1.0ms (13.6% of total)ival-pow: 1.0ms (13.6% of total)ival-neg: 1.0ms (13.6% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.649433608481187 | 24.71635904956286 |
| 2.0ms | -0.0011804413896593959 | -3.069598774659638e-5 |
Compiled 1 554 to 978 computations (37.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 9.553279651468192e+27 | 4.9189034271015715e+33 |
| 6.0ms | -1.1331806998112662e+160 | -3.0351221676332157e+154 |
| 27.0ms | 144× | 0 | valid |
| 2.0ms | 13× | 0 | invalid |
Compiled 2 298 to 1 394 computations (39.3% saved)
ival-add: 6.0ms (25.2% of total)ival-mult: 4.0ms (16.8% of total)ival-div: 3.0ms (12.6% of total)ival-sin: 3.0ms (12.6% of total)ival-tan: 3.0ms (12.6% of total)ival-pow: 3.0ms (12.6% of total)ival-neg: 1.0ms (4.2% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 9.553279651468192e+27 | 4.9189034271015715e+33 |
| 2.0ms | -1.1331806998112662e+160 | -3.0351221676332157e+154 |
Compiled 2 478 to 1 484 computations (40.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 9.553279651468192e+27 | 4.9189034271015715e+33 |
| 2.0ms | -1.1331806998112662e+160 | -3.0351221676332157e+154 |
Compiled 2 496 to 1 484 computations (40.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.00015044098633465726 | 0.9788350539932725 |
| 43.0ms | -3.069598774659638e-5 | -1.995160895737496e-17 |
| 33.0ms | 160× | 0 | valid |
| 2.0ms | 14× | 0 | invalid |
Compiled 2 128 to 1 316 computations (38.2% saved)
ival-tan: 11.0ms (36.9% of total)ival-mult: 4.0ms (13.4% of total)ival-div: 3.0ms (10.1% of total)ival-sin: 3.0ms (10.1% of total)ival-pow: 3.0ms (10.1% of total)ival-add: 2.0ms (6.7% of total)ival-neg: 2.0ms (6.7% 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)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 2.837815680862449e-45 | 5.893604335449061e-36 |
| 41.0ms | -4.43712175029555e-133 | -2.2644330033737913e-144 |
| 37.0ms | -1.995160895737496e-17 | -7.051306001418215e-24 |
| 85.0ms | 448× | 0 | valid |
| 8.0ms | 52× | 0 | invalid |
Compiled 3 812 to 2 258 computations (40.8% saved)
ival-mult: 18.0ms (23% of total)ival-tan: 17.0ms (21.7% of total)ival-sin: 11.0ms (14.1% of total)ival-div: 10.0ms (12.8% of total)ival-add: 9.0ms (11.5% of total)ival-pow: 8.0ms (10.2% of total)ival-neg: 4.0ms (5.1% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.837815680862449e-45 | 5.893604335449061e-36 |
| 2.0ms | -4.43712175029555e-133 | -2.2644330033737913e-144 |
| 2.0ms | -1.995160895737496e-17 | -7.051306001418215e-24 |
Compiled 3 850 to 2 277 computations (40.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 2.837815680862449e-45 | 5.893604335449061e-36 |
| 28.0ms | -2.1189657676591514e-92 | -6.014134420402425e-95 |
| 20.0ms | 128× | 0 | valid |
| 2.0ms | 11× | 0 | invalid |
Compiled 2 538 to 1 453 computations (42.8% saved)
ival-mult: 4.0ms (22.9% of total)ival-div: 3.0ms (17.1% of total)ival-sin: 3.0ms (17.1% of total)ival-tan: 3.0ms (17.1% of total)ival-add: 2.0ms (11.4% of total)ival-pow: 2.0ms (11.4% of total)ival-neg: 1.0ms (5.7% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 7.915610018433326e-26 | 0.00015044098633465726 |
| 1.0ms | -2.1189657676591514e-92 | -6.014134420402425e-95 |
| 28.0ms | 176× | 0 | valid |
| 3.0ms | 19× | 0 | invalid |
Compiled 2 481 to 1 470 computations (40.7% saved)
ival-mult: 5.0ms (20.9% of total)ival-div: 4.0ms (16.7% of total)ival-sin: 4.0ms (16.7% of total)ival-tan: 4.0ms (16.7% of total)ival-add: 3.0ms (12.5% of total)ival-pow: 3.0ms (12.5% of total)ival-neg: 2.0ms (8.4% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 5.893604335449061e-36 | 5.152329182338754e-33 |
| 1.0ms | -2.1189657676591514e-92 | -6.014134420402425e-95 |
| 20.0ms | 128× | 0 | valid |
| 5.0ms | 17× | 0 | invalid |
Compiled 1 582 to 1 018 computations (35.7% saved)
ival-div: 3.0ms (16.8% of total)ival-mult: 3.0ms (16.8% of total)ival-sin: 3.0ms (16.8% of total)ival-tan: 3.0ms (16.8% of total)ival-add: 2.0ms (11.2% of total)ival-pow: 2.0ms (11.2% of total)ival-neg: 1.0ms (5.6% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2.1189657676591514e-92 | -6.014134420402425e-95 |
Compiled 806 to 522 computations (35.2% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 3718 |
| 1 | 451 | 3563 |
| 2 | 676 | 3547 |
| 3 | 1283 | 3394 |
| 4 | 2852 | 3394 |
| 5 | 5636 | 3394 |
| 6 | 7016 | 3394 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 F #s(literal -31000000000000001294230487065545313954909973327975662836586364180429424089625573543566116845710660512288113622609199495518609135346990793718129610129932288 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) (if (<=.f64 F #s(literal 365000000000000023666950443004337726808397351164156622417324962601271986448825762427411834387755644787543510848720175527271895679922193759165034207128526489248595968 binary64)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #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)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))))) |
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(if (<=.f64 F #s(literal -7788445287802241/2596148429267413814265248164610048 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) (if (<=.f64 F #s(literal -671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 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) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B)) (if (<=.f64 F #s(literal 8034690221294951/100433627766186892221372630771322662657637687111424552206336 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B))))) |
(if (<=.f64 F #s(literal -7788445287802241/2596148429267413814265248164610048 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) (if (<=.f64 F #s(literal -671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 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) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))) (if (<=.f64 F #s(literal 8034690221294951/100433627766186892221372630771322662657637687111424552206336 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B))))) |
(if (<=.f64 F #s(literal -3875095261576825/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) (if (<=.f64 F #s(literal 8034690221294951/100433627766186892221372630771322662657637687111424552206336 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)))) |
(if (<=.f64 F #s(literal -3875095261576825/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) (if (<=.f64 F #s(literal 66355061549583/42535295865117307932921825928971026432 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 (+ (+ (* 2 x) (* F F)) 2))) F) (- (* (+ (* (* 1/6 F) (sqrt (/ 1 (+ (+ (* 2 x) (* F F)) 2)))) (* 1/3 x)) (* B B)) x)) (*.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -3875095261576825/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) (if (<=.f64 F #s(literal 2572242881702389/11692013098647223345629478661730264157247460343808 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) 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 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal 1 binary64)) x) B)))) |
(if (<=.f64 F #s(literal -3875095261576825/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) #s(literal -1 binary64)) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) 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) x) (neg.f64 x)) B)) |
| Outputs |
|---|
(if (<=.f64 F #s(literal -31000000000000001294230487065545313954909973327975662836586364180429424089625573543566116845710660512288113622609199495518609135346990793718129610129932288 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) (if (<=.f64 F #s(literal 365000000000000023666950443004337726808397351164156622417324962601271986448825762427411834387755644787543510848720175527271895679922193759165034207128526489248595968 binary64)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #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)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -31000000000000001294230487065545313954909973327975662836586364180429424089625573543566116845710660512288113622609199495518609135346990793718129610129932288 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) (if (<=.f64 F #s(literal 365000000000000023666950443004337726808397351164156622417324962601271986448825762427411834387755644787543510848720175527271895679922193759165034207128526489248595968 binary64)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.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 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -31000000000000001294230487065545313954909973327975662836586364180429424089625573543566116845710660512288113622609199495518609135346990793718129610129932288 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 365000000000000023666950443004337726808397351164156622417324962601271986448825762427411834387755644787543510848720175527271895679922193759165034207128526489248595968 binary64)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #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)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -31000000000000001294230487065545313954909973327975662836586364180429424089625573543566116845710660512288113622609199495518609135346990793718129610129932288 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 365000000000000023666950443004337726808397351164156622417324962601271986448825762427411834387755644787543510848720175527271895679922193759165034207128526489248595968 binary64)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.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 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 200000 binary64)) (-.f64 (/.f64 F (*.f64 (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 (*.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 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 200000 binary64)) (-.f64 (/.f64 F (*.f64 (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 x (/.f64 #s(literal -1 binary64) (tan.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)) #s(literal 1 binary64)) (sin.f64 B)))))) |
(if (<=.f64 F #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 100000000 binary64)) (-.f64 (/.f64 F (*.f64 (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))) #s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))))) |
(if (<=.f64 F #s(literal -7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 1080863910568919/1125899906842624 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 #s(literal 2 binary64) x #s(literal 2 binary64)))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) #s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))))) |
(if (<=.f64 F #s(literal -7656119366529843/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B))) (if (<=.f64 F #s(literal 1080863910568919/1125899906842624 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 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64))) F (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))) #s(approx (+ (* F (/ (/ 1 (sqrt (+ (* x 2) (+ (* F F) 2)))) (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))))) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) x) (neg.f64 x)) B)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1365 | 12255 |
| 1 | 4853 | 12172 |
| 0 | 8512 | 11074 |
| 0 | 78 | 506 |
| 0 | 117 | 454 |
| 1 | 452 | 439 |
| 2 | 3231 | 432 |
| 0 | 8710 | 425 |
| 0 | 1293 | 11898 |
| 1 | 4577 | 11764 |
| 0 | 8463 | 10712 |
| 0 | 20 | 71 |
| 0 | 37 | 71 |
| 1 | 132 | 66 |
| 2 | 874 | 66 |
| 0 | 8190 | 58 |
| 0 | 61 | 437 |
| 0 | 96 | 425 |
| 1 | 369 | 399 |
| 2 | 2737 | 399 |
| 0 | 8370 | 399 |
| 0 | 75 | 474 |
| 0 | 116 | 452 |
| 1 | 464 | 430 |
| 2 | 3284 | 430 |
| 0 | 9516 | 430 |
| 0 | 1194 | 10690 |
| 1 | 4263 | 10585 |
| 0 | 9146 | 9652 |
| 0 | 496 | 3495 |
| 1 | 1683 | 3280 |
| 2 | 7664 | 3173 |
| 0 | 8158 | 2879 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 3 889 to 319 computations (91.8% saved)
(negabs B)
Compiled 8 044 to 784 computations (90.3% saved)
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