
Time bar (total: 4.0s)
| 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 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 5 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 6 |
| 42.2% | 42.1% | 57.7% | 0.1% | 0% | 0% | 0% | 7 |
| 49.2% | 49.1% | 50.7% | 0.1% | 0% | 0% | 0% | 8 |
| 57.4% | 57.3% | 42.5% | 0.1% | 0% | 0% | 0% | 9 |
| 67% | 66.9% | 33% | 0.1% | 0% | 0% | 0% | 10 |
| 71.8% | 71.7% | 28.2% | 0.1% | 0% | 0% | 0% | 11 |
| 76.9% | 76.8% | 23.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 18 to 14 computations (22.2% saved)
| 1.2s | 8 256× | 0 | valid |
ival-div!: 302.0ms (31.5% of total)ival-cos: 255.0ms (26.6% of total)ival-mult!: 250.0ms (26.1% of total)ival-pow2: 151.0ms (15.7% of total)adjust: 2.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 0 | - | 1 | (-5894973134489400.0 5.89978408778655e+66 5.365576581500836e-176) | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
| 32 | 1 | (4.263629012200194e+276 -2.118991734284924e+226 -2.508479113716255e-300) | 2 | (-1.074431963373072e+133 -4.879230594194643e-293 1.8623021549839538e-157) | (*.f64 x (pow.f64 s #s(literal 2 binary64))) |
| 15 | 0 | - | 3 | (-284567193200.3334 -7.368472334777443e-163 8.764648576467617e-165) | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
| 1 | 0 | - | 0 | - | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 0 | 0 | - | 0 | - | (pow.f64 c #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 117 | (1.5393933928653376e+51 -1.5093618199133032e+74 -6.917292571917914e+103) | 0 | - | (cos.f64 (*.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (pow.f64 s #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | sensitivity | 117 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 20 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 78 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 64 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 64 | |
*.f64 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | n*o | 16 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | n*o | 16 | 0 |
*.f64 | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | n*u | 15 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | n*u | 13 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 12 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 58 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 66 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 53 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 54 | |
*.f64 | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | n*o | 6 | 0 |
*.f64 | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | n*u | 6 | 0 |
/.f64 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) | n/o | 1 | 0 |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 66 | |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 65 | |
| ↳ | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | overflow | 68 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 53 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 54 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 94 | 0 |
| - | 79 | 83 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 94 | 0 | 0 |
| - | 79 | 0 | 83 |
| number | freq |
|---|---|
| 0 | 83 |
| 1 | 125 |
| 2 | 47 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 512× | 0 | valid |
Compiled 132 to 40 computations (69.7% saved)
ival-cos: 12.0ms (35.3% of total)ival-pow2: 11.0ms (32.3% of total)ival-mult!: 8.0ms (23.5% of total)ival-div!: 2.0ms (5.9% of total)adjust: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 169 |
| 1 | 152 | 163 |
| 2 | 512 | 163 |
| 3 | 2060 | 163 |
| 4 | 5322 | 163 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.9% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(abs x)
(abs c)
(abs s)
(sort c s)
Compiled 32 to 24 computations (25% saved)
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
(pow.f64 c #s(literal 2 binary64)) |
c |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(pow.f64 s #s(literal 2 binary64)) |
s |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2)))) |
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (pow c 2) #s(hole binary64 (pow c 2))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (pow s 2) #s(hole binary64 (pow s 2))) |
#s(approx s #s(hole binary64 s)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
| 4.0ms | c | @ | inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
| 3.0ms | x | @ | inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
| 3.0ms | x | @ | -inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
| 3.0ms | s | @ | inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 447 |
| 0 | 92 | 415 |
| 1 | 374 | 351 |
| 0 | 3114 | 339 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
(pow.f64 c #s(literal 2 binary64)) |
c |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(pow.f64 s #s(literal 2 binary64)) |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2)))) |
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (pow c 2) #s(hole binary64 (pow c 2))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (pow s 2) #s(hole binary64 (pow s 2))) |
#s(approx s #s(hole binary64 s)) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 x x)) (*.f64 s s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c)) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))) |
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x) |
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c)) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c))) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 c c) (*.f64 x x))) |
(*.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) |
(*.f64 c (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
(*.f64 x (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) |
(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)) |
(*.f64 (neg.f64 c) (neg.f64 c)) |
(*.f64 (fabs.f64 c) (fabs.f64 c)) |
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c))) |
(*.f64 c c) |
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))) |
c |
(*.f64 (*.f64 (*.f64 x x) s) s) |
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) (pow.f64 (*.f64 s x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) (*.f64 s x)) |
(*.f64 (*.f64 s x) (*.f64 s x)) |
(*.f64 (*.f64 x x) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 s s) x) x) |
(*.f64 (*.f64 s s) (*.f64 x x)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 s s) x)) |
(pow.f64 (*.f64 s x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 s x) s) |
(*.f64 (*.f64 s s) x) |
(*.f64 s (*.f64 s x)) |
(*.f64 x (*.f64 s s)) |
(*.f64 (neg.f64 s) (neg.f64 s)) |
(*.f64 (fabs.f64 s) (fabs.f64 s)) |
(*.f64 (exp.f64 (log.f64 s)) (exp.f64 (log.f64 s))) |
(*.f64 s s) |
(pow.f64 (exp.f64 (log.f64 s)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 s s) #s(literal 1 binary64)) |
(pow.f64 s #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 s #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (cos (* 2 x)) #s(literal 1 binary64)) |
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) |
#s(approx (* (* x (pow s 2)) x) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) |
#s(approx (* x (pow s 2)) (*.f64 (*.f64 s s) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))) |
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx (pow c 2) (*.f64 c c)) |
#s(approx c c) |
#s(approx (pow s 2) (*.f64 s s)) |
#s(approx s s) |
Compiled 2 390 to 428 computations (82.1% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 14 | 125 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 112 | 14 | 126 |
| Status | Accuracy | Program |
|---|---|---|
| 67.0% | (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x) | |
| 59.4% | (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x)) | |
| ▶ | 66.8% | (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
| 78.1% | (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c)) | |
| 85.7% | (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x) | |
| ▶ | 98.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
| 96.7% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) | |
| 85.2% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)) | |
| ▶ | 85.7% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
| 66.9% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))) | |
| ▶ | 60.1% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
| 57.5% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) | |
| ▶ | 70.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
| 49.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))) |
Compiled 474 to 364 computations (23.2% saved)
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
s |
c |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)) |
(*.f64 (*.f64 c c) (*.f64 x x)) |
(*.f64 c c) |
(*.f64 x x) |
(*.f64 s s) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) |
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.f64 (*.f64 s s) x) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) |
(pow.f64 c #s(literal -2 binary64)) |
(pow.f64 (*.f64 s x) #s(literal 2 binary64)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x) |
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) |
(pow.f64 (*.f64 s c) #s(literal 2 binary64)) |
(*.f64 s c) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x)))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ 1 (* (pow c 2) x)))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2)))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))))) |
#s(approx (cos (* -2 x)) #s(hole binary64 1)) |
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* -2 x) #s(hole binary64 (* -2 x))) |
#s(approx (* (* s s) x) #s(hole binary64 (* (pow s 2) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (pow c -2) (pow (* s x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (* (* (pow (* s c) 2) x) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (pow (* s c) 2) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) x)))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ (cos (* -2 x)) (pow c 2)))) |
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx (pow c -2) #s(hole binary64 (/ 1 (pow c 2)))) |
#s(approx (pow (* s c) 2) #s(hole binary64 (* (pow c 2) (pow s 2)))) |
#s(approx (* s c) #s(hole binary64 (* c s))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | 0 | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* (* s s) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow c -2) (pow (* s x) 2)) (pow c -2) (pow (* s x) 2) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (pow (* s c) 2) (* s c)) |
| 9.0ms | x | @ | -inf | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* (* s s) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow c -2) (pow (* s x) 2)) (pow c -2) (pow (* s x) 2) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (pow (* s c) 2) (* s c)) |
| 6.0ms | s | @ | 0 | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* (* s s) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow c -2) (pow (* s x) 2)) (pow c -2) (pow (* s x) 2) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (pow (* s c) 2) (* s c)) |
| 6.0ms | c | @ | 0 | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* (* s s) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow c -2) (pow (* s x) 2)) (pow c -2) (pow (* s x) 2) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (pow (* s c) 2) (* s c)) |
| 5.0ms | x | @ | inf | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* (* s s) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (pow c -2) (pow (* s x) 2)) (pow c -2) (pow (* s x) 2) (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) (* (* (pow (* s c) 2) x) x) (* (pow (* s c) 2) x) (pow (* s c) 2) (* s c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 2063 |
| 0 | 242 | 1749 |
| 1 | 774 | 1601 |
| 0 | 5807 | 1547 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
s |
c |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)) |
(*.f64 (*.f64 c c) (*.f64 x x)) |
(*.f64 c c) |
(*.f64 x x) |
(*.f64 s s) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) |
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.f64 (*.f64 s s) x) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) |
(pow.f64 c #s(literal -2 binary64)) |
(pow.f64 (*.f64 s x) #s(literal 2 binary64)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x) |
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) |
(pow.f64 (*.f64 s c) #s(literal 2 binary64)) |
(*.f64 s c) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x)))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ 1 (* (pow c 2) x)))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2)))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))))) |
#s(approx (cos (* -2 x)) #s(hole binary64 1)) |
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* -2 x) #s(hole binary64 (* -2 x))) |
#s(approx (* (* s s) x) #s(hole binary64 (* (pow s 2) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (pow c -2) (pow (* s x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (* (* (pow (* s c) 2) x) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (pow (* s c) 2) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) x)))) |
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ (cos (* -2 x)) (pow c 2)))) |
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s c) 2) x) x)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx (pow c -2) #s(hole binary64 (/ 1 (pow c 2)))) |
#s(approx (pow (* s c) 2) #s(hole binary64 (* (pow c 2) (pow s 2)))) |
#s(approx (* s c) #s(hole binary64 (* c s))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (neg.f64 s)) (neg.f64 s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (fabs.f64 s)) (fabs.f64 s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) s) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x)) |
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) (neg.f64 (*.f64 s s))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (*.f64 s s)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x) |
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 c c)) (*.f64 (neg.f64 x) (*.f64 (*.f64 s s) x))) |
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 c c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 c c) x)) (*.f64 (neg.f64 s) (*.f64 s x))) |
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) x) (*.f64 (*.f64 s s) x))) |
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (neg.f64 (*.f64 (neg.f64 s) (*.f64 s x)))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x))) |
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 (neg.f64 s) (*.f64 s x)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
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s |
c |
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(*.f64 (*.f64 s x) (*.f64 (*.f64 s x) (*.f64 c c))) |
(*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 s x) c))) |
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(pow.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
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(exp.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) |
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(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
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(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x))) |
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))) |
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(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 c c)) |
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(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 c c) x))) |
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(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (*.f64 c c)) |
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(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 c c))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c c)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c c))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
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(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
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(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
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(*.f64 (neg.f64 x) #s(literal 2 binary64)) |
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(*.f64 x #s(literal -2 binary64)) |
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#s(literal -2 binary64) |
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(*.f64 (*.f64 x (fabs.f64 s)) (fabs.f64 s)) |
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(*.f64 x (*.f64 s s)) |
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#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x))) |
#s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))) |
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))) |
#s(approx c c) |
#s(approx (* c c) (*.f64 c c)) |
#s(approx (pow c -2) (pow.f64 c #s(literal -2 binary64))) |
#s(approx (pow (* s c) 2) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) |
#s(approx (* s c) (*.f64 c s)) |
#s(approx s s) |
#s(approx (* s s) (*.f64 s s)) |
Compiled 13 857 to 1 987 computations (85.7% saved)
30 alts after pruning (30 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 640 | 29 | 669 |
| Fresh | 8 | 1 | 9 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 653 | 30 | 683 |
| Status | Accuracy | Program |
|---|---|---|
| 78.1% | (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c)) | |
| 98.4% | (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) | |
| 66.8% | (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x)) | |
| 44.3% | (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) x) (*.f64 (*.f64 s s) x)) | |
| 60.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) | |
| 98.3% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 s x) #s(literal 1/2 binary64))) c) #s(literal 2 binary64))) | |
| 80.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) x) x)) | |
| 91.3% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) s) (*.f64 c x))) | |
| ▶ | 98.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
| ▶ | 79.4% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x))) |
| 80.3% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 s x) (*.f64 c c))) x)) | |
| 64.9% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) | |
| 57.3% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) | |
| 41.4% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) | |
| ▶ | 80.0% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
| 71.7% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) | |
| ▶ | 53.1% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
| 80.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) | |
| 65.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) (*.f64 x x))) | |
| 68.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s x) x) s))) | |
| 70.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x)))) | |
| 71.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x)) | |
| 70.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))) | |
| ▶ | 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
| 80.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) | |
| 59.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) | |
| 71.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) | |
| 80.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 s x)) (/.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 s x)))) | |
| 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) | |
| 80.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) |
Compiled 1 336 to 938 computations (29.8% saved)
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
s |
c |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
#s(approx (cos (* 2 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)) |
(*.f64 (*.f64 c c) (*.f64 x x)) |
(*.f64 c c) |
(*.f64 x x) |
(*.f64 s s) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) |
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) |
(pow.f64 (*.f64 c x) #s(literal 2 binary64)) |
(*.f64 c x) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x))) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x)) |
(*.f64 (*.f64 s s) (*.f64 c x)) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* (* s x) c) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x)))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ 1 (* (pow (* c x) 2) s)) s) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ 1 (* (pow (* c x) 2) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* s (pow x 2)))))) |
#s(approx (* (pow (* c x) 2) s) #s(hole binary64 (* (pow c 2) (* s (pow x 2))))) |
#s(approx (pow (* c x) 2) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (* c x) #s(hole binary64 (* c x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (* (* (* s s) (* c x)) (* c x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s s) (* c x)) #s(hole binary64 (* c (* (pow s 2) x)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | c | @ | inf | ((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (pow (* c x) 2) s)) s) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) (* c x) (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) (* (* (* s s) (* c x)) (* c x)) (* (* s s) (* c x))) |
| 4.0ms | x | @ | -inf | ((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (pow (* c x) 2) s)) s) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) (* c x) (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) (* (* (* s s) (* c x)) (* c x)) (* (* s s) (* c x))) |
| 4.0ms | c | @ | -inf | ((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (pow (* c x) 2) s)) s) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) (* c x) (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) (* (* (* s s) (* c x)) (* c x)) (* (* s s) (* c x))) |
| 4.0ms | x | @ | inf | ((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (pow (* c x) 2) s)) s) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) (* c x) (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) (* (* (* s s) (* c x)) (* c x)) (* (* s s) (* c x))) |
| 4.0ms | s | @ | -inf | ((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (pow (* c x) 2) s)) s) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) (* c x) (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) (* (* (* s s) (* c x)) (* c x)) (* (* s s) (* c x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 1736 |
| 0 | 192 | 1446 |
| 1 | 597 | 1284 |
| 0 | 4264 | 1248 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
s |
c |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
#s(approx (cos (* 2 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)) |
(*.f64 (*.f64 c c) (*.f64 x x)) |
(*.f64 c c) |
(*.f64 x x) |
(*.f64 s s) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) |
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) |
(pow.f64 (*.f64 c x) #s(literal 2 binary64)) |
(*.f64 c x) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x))) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x)) |
(*.f64 (*.f64 s s) (*.f64 c x)) |
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* (* s x) c) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x)))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ 1 (* (pow (* c x) 2) s)) s) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ 1 (* (pow (* c x) 2) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* s (pow x 2)))))) |
#s(approx (* (pow (* c x) 2) s) #s(hole binary64 (* (pow c 2) (* s (pow x 2))))) |
#s(approx (pow (* c x) 2) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (* c x) #s(hole binary64 (* c x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (* (* (* s s) (* c x)) (* c x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s s) (* c x)) #s(hole binary64 (* c (* (pow s 2) x)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* s s) (* c x)) (* c x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) s)) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s x) s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (neg.f64 s)) (neg.f64 s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (fabs.f64 s)) (fabs.f64 s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) s) |
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) s)) x) c) x) |
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) s)) x) x) c) |
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) x) (*.f64 c s)) x) |
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) x) (*.f64 s x)) c) |
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) x) c) (*.f64 s x)) |
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) x) s) (*.f64 c x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) c) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 s) (*.f64 c x))) (*.f64 (neg.f64 s) (*.f64 c x))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (fabs.f64 (*.f64 (*.f64 c s) x))) (fabs.f64 (*.f64 (*.f64 c s) x))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) (neg.f64 (*.f64 s s))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) s)) x)) (neg.f64 (*.f64 c x))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) x)) (*.f64 (neg.f64 s) (*.f64 c x))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (*.f64 s s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) s)) x) (*.f64 c x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) x) (*.f64 (*.f64 c s) x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) |
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (*.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (fabs.f64 s)) (fabs.f64 s)) |
(*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 (*.f64 c c) x)) x) |
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x) |
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (neg.f64 c)) (neg.f64 c)) |
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (fabs.f64 c)) (fabs.f64 c)) |
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c) |
(*.f64 (*.f64 (*.f64 s x) (fabs.f64 c)) (*.f64 (*.f64 s x) (fabs.f64 c))) |
(*.f64 (*.f64 (*.f64 c x) (neg.f64 s)) (*.f64 (*.f64 c x) (neg.f64 s))) |
(*.f64 (*.f64 (*.f64 c x) (fabs.f64 s)) (*.f64 (*.f64 c x) (fabs.f64 s))) |
(*.f64 (*.f64 (fabs.f64 s) (*.f64 c x)) (*.f64 (fabs.f64 s) (*.f64 c x))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 s) (*.f64 c x))) (neg.f64 (*.f64 (neg.f64 s) (*.f64 c x)))) |
(*.f64 (neg.f64 (fabs.f64 (*.f64 (*.f64 c s) x))) (neg.f64 (fabs.f64 (*.f64 (*.f64 c s) x)))) |
(*.f64 (fabs.f64 (fabs.f64 (*.f64 (*.f64 c s) x))) (fabs.f64 (fabs.f64 (*.f64 (*.f64 c s) x)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 c s) x))) (exp.f64 (log.f64 (*.f64 (*.f64 c s) x)))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) s) x) (*.f64 s x)) |
(*.f64 (*.f64 (*.f64 s x) s) (*.f64 (*.f64 c c) x)) |
(*.f64 (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c) |
(*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s x) s)) |
(*.f64 (*.f64 (*.f64 c s) s) (*.f64 x (*.f64 c x))) |
(*.f64 (*.f64 (*.f64 c s) s) (*.f64 (*.f64 c x) x)) |
(*.f64 (*.f64 (neg.f64 s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (neg.f64 s)) |
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#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (cos (* 2 x)) #s(literal 1 binary64)) |
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (pow (* (* s x) c) 2) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
#s(approx (* (* s x) c) (*.f64 (*.f64 c s) x)) |
#s(approx (* s x) (*.f64 s x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (pow (* (* s x) c) 2) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
#s(approx (* (* c c) (* x x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (pow (* (* s x) c) 2) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (/ (/ 1 (* (pow (* c x) 2) s)) s) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))) |
#s(approx (/ 1 (* (pow (* c x) 2) s)) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s)) |
#s(approx (* (pow (* c x) 2) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) |
#s(approx (* (* c c) (* x x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
#s(approx (* c x) (*.f64 c x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (pow (* (* s x) c) 2) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
#s(approx (* (* s s) (* c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) |
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) |
#s(approx c c) |
#s(approx (* c c) (*.f64 c c)) |
#s(approx s s) |
#s(approx (* s s) (*.f64 s s)) |
Compiled 12 063 to 1 609 computations (86.7% saved)
42 alts after pruning (39 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 540 | 27 | 567 |
| Fresh | 13 | 12 | 25 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 555 | 42 | 597 |
| Status | Accuracy | Program |
|---|---|---|
| 82.4% | (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) s)) x) x) c) | |
| 92.1% | (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) x) (*.f64 s x)) c) | |
| 81.0% | (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) | |
| 84.9% | (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) | |
| 44.3% | (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) x) (*.f64 (*.f64 s s) x)) | |
| 65.8% | (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) | |
| 70.2% | (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x)) | |
| 78.1% | (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 c x))) (*.f64 (neg.f64 s) (*.f64 c x))) | |
| 70.4% | (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) | |
| 70.2% | (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) | |
| ▶ | 98.5% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
| 79.4% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x))) | |
| 60.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) | |
| 80.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) x) x)) | |
| 91.3% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) s) (*.f64 c x))) | |
| 93.3% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x)) | |
| 57.8% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) | |
| 57.3% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) | |
| 41.4% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) | |
| 64.9% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) | |
| ✓ | 80.0% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
| 78.2% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) | |
| 71.7% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) | |
| 56.6% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) | |
| 58.9% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) | |
| 58.9% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))) | |
| ▶ | 59.1% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
| ✓ | 53.1% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
| 65.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) (*.f64 x x))) | |
| 68.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s x) x) s))) | |
| ✓ | 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
| ▶ | 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
| 71.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x))) s)) | |
| 67.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)) | |
| 62.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) s)) | |
| 80.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) | |
| 69.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) | |
| ▶ | 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) |
| 80.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) | |
| ▶ | 78.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
| 70.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) x)))) | |
| 75.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) c))) |
Compiled 1 806 to 1 259 computations (30.3% saved)
| Inputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
s |
c |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
#s(approx (cos (* 2 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)) |
(*.f64 (*.f64 c x) (*.f64 c x)) |
(*.f64 c x) |
(*.f64 s s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c) |
(*.f64 (*.f64 (*.f64 x x) s) c) |
(*.f64 (*.f64 x x) s) |
(*.f64 x x) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) |
(*.f64 (neg.f64 s) (*.f64 c x)) |
(neg.f64 s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s)) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) |
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) |
(pow.f64 (*.f64 c x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) s) |
| Outputs |
|---|
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (+ x x)) #s(hole binary64 1)) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* (* s x) c) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x)))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* (* (* c x) (* c x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* c x) (* c x)) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (* c x) #s(hole binary64 (* c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ 1 (* (* (* (* x x) s) c) c)) s) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ 1 (* (* (* (* x x) s) c) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* s (pow x 2)))))) |
#s(approx (* (* (* (* x x) s) c) c) #s(hole binary64 (* (pow c 2) (* s (pow x 2))))) |
#s(approx (* (* (* x x) s) c) #s(hole binary64 (* c (* s (pow x 2))))) |
#s(approx (* (* x x) s) #s(hole binary64 (* s (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ 1 (* (neg s) (* c x))) (/ 1 (* (neg s) (* c x)))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ 1 (* (neg s) (* c x))) #s(hole binary64 (/ -1 (* c (* s x))))) |
#s(approx (* (neg s) (* c x)) #s(hole binary64 (* -1 (* c (* s x))))) |
#s(approx (* (/ 1 (* (pow (* c x) 2) s)) (/ 1 s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ 1 (* (pow (* c x) 2) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* s (pow x 2)))))) |
#s(approx (* (pow (* c x) 2) s) #s(hole binary64 (* (pow c 2) (* s (pow x 2))))) |
#s(approx (pow (* c x) 2) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
#s(approx (neg s) #s(hole binary64 (* -1 s))) |
#s(approx (/ 1 s) #s(hole binary64 (/ 1 s))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | c | @ | inf | ((/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (* (* (* x x) s) c) c)) s) (/ 1 (* (* (* (* x x) s) c) c)) (* (* (* (* x x) s) c) c) (* (* (* x x) s) c) (* (* x x) s) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (neg s) (* c x))) (/ 1 (* (neg s) (* c x)))) (/ 1 (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c x) 2) s)) (/ 1 s)) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) 2 (/ 1 s)) |
| 12.0ms | x | @ | -inf | ((/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (* (* (* x x) s) c) c)) s) (/ 1 (* (* (* (* x x) s) c) c)) (* (* (* (* x x) s) c) c) (* (* (* x x) s) c) (* (* x x) s) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (neg s) (* c x))) (/ 1 (* (neg s) (* c x)))) (/ 1 (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c x) 2) s)) (/ 1 s)) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) 2 (/ 1 s)) |
| 5.0ms | s | @ | -inf | ((/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (* (* (* x x) s) c) c)) s) (/ 1 (* (* (* (* x x) s) c) c)) (* (* (* (* x x) s) c) c) (* (* (* x x) s) c) (* (* x x) s) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (neg s) (* c x))) (/ 1 (* (neg s) (* c x)))) (/ 1 (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c x) 2) s)) (/ 1 s)) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) 2 (/ 1 s)) |
| 5.0ms | x | @ | inf | ((/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (* (* (* x x) s) c) c)) s) (/ 1 (* (* (* (* x x) s) c) c)) (* (* (* (* x x) s) c) c) (* (* (* x x) s) c) (* (* x x) s) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (neg s) (* c x))) (/ 1 (* (neg s) (* c x)))) (/ 1 (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c x) 2) s)) (/ 1 s)) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) 2 (/ 1 s)) |
| 5.0ms | s | @ | inf | ((/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ 1 (* (* (* (* x x) s) c) c)) s) (/ 1 (* (* (* (* x x) s) c) c)) (* (* (* (* x x) s) c) c) (* (* (* x x) s) c) (* (* x x) s) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (neg s) (* c x))) (/ 1 (* (neg s) (* c x)))) (/ 1 (* (neg s) (* c x))) (* (neg s) (* c x)) (neg s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c x) 2) s)) (/ 1 s)) (/ 1 (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2) 2 (/ 1 s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 1581 |
| 0 | 216 | 1389 |
| 0 | 678 | 1369 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
s |
c |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
#s(approx (cos (* 2 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)) |
(*.f64 (*.f64 c x) (*.f64 c x)) |
(*.f64 c x) |
(*.f64 s s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c) |
(*.f64 (*.f64 (*.f64 x x) s) c) |
(*.f64 (*.f64 x x) s) |
(*.f64 x x) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) |
(*.f64 (neg.f64 s) (*.f64 c x)) |
(neg.f64 s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s)) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) |
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) |
(pow.f64 (*.f64 c x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) s) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (+ x x)) #s(hole binary64 1)) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* (* s x) c) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x)))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* (* (* c x) (* c x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* c x) (* c x)) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (* c x) #s(hole binary64 (* c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ 1 (* (* (* (* x x) s) c) c)) s) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ 1 (* (* (* (* x x) s) c) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* s (pow x 2)))))) |
#s(approx (* (* (* (* x x) s) c) c) #s(hole binary64 (* (pow c 2) (* s (pow x 2))))) |
#s(approx (* (* (* x x) s) c) #s(hole binary64 (* c (* s (pow x 2))))) |
#s(approx (* (* x x) s) #s(hole binary64 (* s (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ 1 (* (neg s) (* c x))) (/ 1 (* (neg s) (* c x)))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ 1 (* (neg s) (* c x))) #s(hole binary64 (/ -1 (* c (* s x))))) |
#s(approx (* (neg s) (* c x)) #s(hole binary64 (* -1 (* c (* s x))))) |
#s(approx (* (/ 1 (* (pow (* c x) 2) s)) (/ 1 s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ 1 (* (pow (* c x) 2) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* s (pow x 2)))))) |
#s(approx (* (pow (* c x) 2) s) #s(hole binary64 (* (pow c 2) (* s (pow x 2))))) |
#s(approx (pow (* c x) 2) #s(hole binary64 (* (pow c 2) (pow x 2)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
#s(approx (neg s) #s(hole binary64 (* -1 s))) |
#s(approx (/ 1 s) #s(hole binary64 (/ 1 s))) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)) |
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) |
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c) |
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 c s) x)) (fabs.f64 (*.f64 (*.f64 c s) x))) |
(*.f64 (*.f64 (*.f64 (neg.f64 s) c) x) (*.f64 (*.f64 (neg.f64 s) c) x)) |
(*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x))) |
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)) |
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) |
(*.f64 (*.f64 c s) x) |
(*.f64 (*.f64 s x) c) |
(*.f64 c (*.f64 s x)) |
(*.f64 s (*.f64 c x)) |
(*.f64 s x) |
(*.f64 x s) |
s |
c |
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (*.f64 s s)) |
(/.f64 (neg.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)) |
(*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s) |
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (*.f64 s s)) |
(*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
(*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))) |
(*.f64 (*.f64 (*.f64 c x) c) x) |
(*.f64 (pow.f64 (*.f64 c x) #s(literal 1 binary64)) (pow.f64 (*.f64 c x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 c x)) (neg.f64 (*.f64 c x))) |
(*.f64 (fabs.f64 (*.f64 c x)) (fabs.f64 (*.f64 c x))) |
(*.f64 (*.f64 c x) (*.f64 c x)) |
(*.f64 (*.f64 x x) (*.f64 c c)) |
(*.f64 (*.f64 c c) (*.f64 x x)) |
(*.f64 c (*.f64 x (*.f64 c x))) |
(pow.f64 (*.f64 c x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 c x)) #s(literal 2 binary64))) |
(*.f64 c x) |
(*.f64 x c) |
(*.f64 (pow.f64 s #s(literal 1 binary64)) (pow.f64 s #s(literal 1 binary64))) |
(*.f64 (fabs.f64 s) (fabs.f64 s)) |
(*.f64 (neg.f64 s) (neg.f64 s)) |
(*.f64 s s) |
(pow.f64 s #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (*.f64 x x) s)) s)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (*.f64 x x) s))) (neg.f64 s)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (*.f64 x x) s)) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s)) |
(pow.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 x x))) c) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (*.f64 x x) s)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) s) (*.f64 c c)) |
(*.f64 (*.f64 (*.f64 c s) (*.f64 x x)) c) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 x x) s)) |
(*.f64 c (*.f64 (*.f64 c s) (*.f64 x x))) |
(*.f64 (*.f64 c s) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) s) c) |
(*.f64 (*.f64 x x) (*.f64 s c)) |
(*.f64 c (*.f64 (*.f64 x x) s)) |
(*.f64 (*.f64 x x) s) |
(*.f64 s (*.f64 x x)) |
(*.f64 x (*.f64 s x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)))) |
(*.f64 (fabs.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))) (fabs.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))) (*.f64 (*.f64 (neg.f64 s) c) x)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 s) c) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 (neg.f64 s) c) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 s)) (*.f64 c x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 s) c) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c s) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 s) c) x)) |
(*.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 s x)) |
(*.f64 (*.f64 (neg.f64 s) c) x) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c s) x)) |
(*.f64 (neg.f64 s) (*.f64 c x)) |
(*.f64 (*.f64 c x) (neg.f64 s)) |
(*.f64 (*.f64 (*.f64 c s) x) #s(literal -1 binary64)) |
(neg.f64 (*.f64 (*.f64 c s) x)) |
(*.f64 #s(literal -1 binary64) s) |
(*.f64 s #s(literal -1 binary64)) |
(neg.f64 s) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))) |
(*.f64 (pow.f64 s #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) #s(literal -1 binary64)) (pow.f64 s #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 s #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) #s(literal -1 binary64)) #s(literal 1 binary64)) s) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) |
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) |
(*.f64 s (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 c x) c) x) |
(*.f64 (pow.f64 (*.f64 c x) #s(literal 1 binary64)) (pow.f64 (*.f64 c x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 c x)) (neg.f64 (*.f64 c x))) |
(*.f64 (fabs.f64 (*.f64 c x)) (fabs.f64 (*.f64 c x))) |
(*.f64 (*.f64 c x) (*.f64 c x)) |
(*.f64 (*.f64 x x) (*.f64 c c)) |
(*.f64 (*.f64 c c) (*.f64 x x)) |
(*.f64 c (*.f64 x (*.f64 c x))) |
(pow.f64 (*.f64 c x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 c x)) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(pow.f64 s #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 s)) |
(/.f64 #s(literal 1 binary64) s) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx x x) |
#s(approx (* (* (* s x) c) (* (* s x) c)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))) |
#s(approx (* (* s x) c) (*.f64 (*.f64 c s) x)) |
#s(approx (* s x) (*.f64 s x)) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (* (* c x) (* c x)) (* s s)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))) |
#s(approx (pow (* c x) 2) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
#s(approx (* c x) (*.f64 c x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (/ (/ 1 (* (* (* (* x x) s) c) c)) s) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (/ 1 (* (* (* (* x x) s) c) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (*.f64 x x) s))) |
#s(approx (* (* (* (* x x) s) c) c) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) |
#s(approx (* (* (* x x) s) c) (*.f64 (*.f64 c s) (*.f64 x x))) |
#s(approx (* (* x x) s) (*.f64 (*.f64 x x) s)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (/ 1 (* (neg s) (* c x))) (/ 1 (* (neg s) (* c x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (/ 1 (* (neg s) (* c x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))) |
#s(approx (* (neg s) (* c x)) (*.f64 (*.f64 (neg.f64 s) c) x)) |
#s(approx (* (/ 1 (* (pow (* c x) 2) s)) (/ 1 s)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (/ 1 (* (pow (* c x) 2) s)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (*.f64 x x) s))) |
#s(approx (* (pow (* c x) 2) s) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) |
#s(approx (pow (* c x) 2) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (cos (+ x x)) (cos.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx (/ (cos (* 2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (cos (+ x x)) (cos.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
#s(approx (cos (+ x x)) (cos.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx c c) |
#s(approx s s) |
#s(approx (* s s) (*.f64 s s)) |
#s(approx (neg s) (neg.f64 s)) |
#s(approx (/ 1 s) (pow.f64 s #s(literal -1 binary64))) |
Compiled 7 427 to 754 computations (89.8% saved)
40 alts after pruning (34 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 11 | 268 |
| Fresh | 11 | 23 | 34 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 270 | 40 | 310 |
| Status | Accuracy | Program |
|---|---|---|
| 82.4% | (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) s)) x) x) c) | |
| 92.1% | (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) x) (*.f64 s x)) c) | |
| 81.0% | (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) | |
| 84.9% | (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) | |
| 44.3% | (/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) x) (*.f64 (*.f64 s s) x)) | |
| 65.8% | (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) | |
| 70.2% | (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x)) | |
| 70.4% | (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) | |
| 70.2% | (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) | |
| 78.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c))) | |
| 96.8% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s (*.f64 c x)))) | |
| 96.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))) | |
| 60.1% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) | |
| 80.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) x) x)) | |
| 64.9% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) | |
| 57.8% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) | |
| 57.3% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) | |
| 41.4% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) | |
| ✓ | 80.0% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
| 71.7% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) | |
| 56.6% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) | |
| 58.9% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) | |
| ✓ | 59.1% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
| 78.1% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) | |
| 62.4% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) | |
| 70.7% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* c x) (* c x)) (* s s)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c)))) | |
| ✓ | 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
| ✓ | 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
| 67.2% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)) | |
| 80.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) | |
| 69.5% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) | |
| 78.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 s) c) x))) | |
| 62.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) | |
| ✓ | 67.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) |
| 80.0% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) | |
| 78.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 s x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) | |
| ✓ | 78.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
| 70.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) x)))) | |
| 75.4% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) c))) | |
| 62.6% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow (* c x) 2) s) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) s))) |
Compiled 2 707 to 950 computations (64.9% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 c x))) (*.f64 (neg.f64 s) (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow (* c x) 2) s) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 s x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 s) c) x))) |
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) x) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s x) x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* c x) (* c x)) (* s s)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s (*.f64 c x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 s x) (*.f64 c c))) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) s) (*.f64 c x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x) |
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) x) (*.f64 s x)) c) |
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) s)) x) x) c) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x) |
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 s x)) (/.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 s x)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 s x) #s(literal 1/2 binary64))) c) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
6 calls:
| 38.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 24.0ms | s |
| 22.0ms | x |
| 20.0ms | c |
| 18.0ms | (pow.f64 c #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 98.5% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 98.5% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 98.5% | 1 | x |
| 98.5% | 1 | c |
| 98.5% | 1 | s |
Compiled 25 to 31 computations (-24% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 c x))) (*.f64 (neg.f64 s) (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow (* c x) 2) s) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 s x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 s) c) x))) |
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) x) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s x) x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* c x) (* c x)) (* s s)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s (*.f64 c x)))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s (*.f64 c x)))) |
6 calls:
| 22.0ms | c |
| 14.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 13.0ms | x |
| 13.0ms | s |
| 12.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 98.5% | 2 | (pow.f64 c #s(literal 2 binary64)) |
| 98.6% | 2 | x |
| 98.5% | 2 | c |
| 96.8% | 1 | s |
| 96.8% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 25 to 31 computations (-24% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 c x))) (*.f64 (neg.f64 s) (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow (* c x) 2) s) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 s x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 s) c) x))) |
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) x) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s x) x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* c x) (* c x)) (* s s)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 c x))) (*.f64 (neg.f64 s) (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow (* c x) 2) s) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 s x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 s) c) x))) |
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) x) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s x) x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* c x) (* c x)) (* s s)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
| Outputs |
|---|
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) |
6 calls:
| 23.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 13.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 12.0ms | x |
| 12.0ms | s |
| 12.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 2 | (pow.f64 s #s(literal 2 binary64)) |
| 85.1% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 84.1% | 2 | s |
| 80.1% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 80.1% | 1 | c |
| 86.8% | 3 | x |
Compiled 25 to 31 computations (-24% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 c x))) (*.f64 (neg.f64 s) (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow (* c x) 2) s) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 s x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 s) c) x))) |
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) x) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s x) x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #s(approx (* (* (* c x) (* c x)) (* s s)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) (/.f64 #s(literal 1 binary64) s))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)) |
| Outputs |
|---|
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))) |
4 calls:
| 13.0ms | s |
| 12.0ms | x |
| 11.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 9.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 80.1% | 1 | s |
| 82.6% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 80.1% | 1 | x |
Compiled 21 to 23 computations (-9.5% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 c x))) (*.f64 (neg.f64 s) (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow (* c x) 2) s) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 s x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 s) (*.f64 c x))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 s) c) x))) |
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) x) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
| Outputs |
|---|
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) |
1 calls:
| 6.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x))) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) c)) s)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s x) s) c)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) s) x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x)) |
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 s) (*.f64 c x))) (*.f64 (neg.f64 s) (*.f64 c x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (pow (* c x) 2) s) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) s) x)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))) |
6 calls:
| 51.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 6.0ms | c |
| 6.0ms | x |
| 6.0ms | s |
| 5.0ms | (pow.f64 c #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 80.0% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 80.0% | 1 | s |
| 80.0% | 1 | c |
| 80.0% | 1 | x |
| 80.0% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 25 to 31 computations (-24% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) (*.f64 (*.f64 c x) x))) s)) |
| Outputs |
|---|
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
6 calls:
| 3.0ms | x |
| 3.0ms | c |
| 3.0ms | s |
| 3.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 2.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 78.1% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 78.1% | 1 | c |
| 78.1% | 1 | s |
| 78.1% | 1 | x |
| 78.1% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 25 to 31 computations (-24% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))) |
6 calls:
| 5.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 1.0ms | s |
| 1.0ms | x |
| 1.0ms | c |
| 1.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 2 | (pow.f64 s #s(literal 2 binary64)) |
| 67.3% | 2 | s |
| 65.1% | 2 | (pow.f64 c #s(literal 2 binary64)) |
| 66.7% | 3 | c |
| 65.7% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 67.9% | 2 | x |
Compiled 25 to 31 computations (-24% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x)) s))) |
6 calls:
| 1.0ms | c |
| 1.0ms | x |
| 1.0ms | s |
| 1.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 1.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.7% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 62.7% | 1 | c |
| 62.7% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 62.7% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 62.7% | 1 | s |
| 62.7% | 1 | x |
Compiled 25 to 31 computations (-24% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.3704685015223576e-104 | 3.372986287155956e-104 |
| 4.0ms | 64× | 0 | valid |
Compiled 179 to 138 computations (22.9% saved)
ival-pow2: 1.0ms (35.2% of total)ival-mult!: 1.0ms (35.2% of total)adjust: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.877344676744395e-163 | 1.543189414174736e-161 |
| 7.0ms | 96× | 0 | valid |
Compiled 259 to 186 computations (28.2% saved)
ival-pow2: 2.0ms (47.3% of total)ival-cos: 1.0ms (23.6% of total)ival-mult!: 1.0ms (23.6% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 2.4230734986283174e+114 | 3.9118761487529083e+114 |
| 17.0ms | 2.284085188744452 | 60557.64506399025 |
| 19.0ms | 192× | 0 | valid |
Compiled 571 to 394 computations (31% saved)
ival-cos: 7.0ms (50.2% of total)ival-pow2: 3.0ms (21.5% of total)ival-mult!: 3.0ms (21.5% of total)ival-div!: 1.0ms (7.2% of total)adjust: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.505647289920398e-143 | 0.0 |
Compiled 19 to 18 computations (5.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.505647289920398e-143 | 0.0 |
Compiled 19 to 18 computations (5.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 210899288135857.28 | 5894973134489400.0 |
| 12.0ms | 112× | 0 | valid |
Compiled 355 to 263 computations (25.9% saved)
ival-cos: 4.0ms (50.4% of total)ival-pow2: 2.0ms (25.2% of total)ival-mult!: 2.0ms (25.2% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | fuel |
Compiled 453 to 89 computations (80.4% saved)
(abs x)
Compiled 5 814 to 2 900 computations (50.1% saved)
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