
Time bar (total: 3.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 639.0ms | 2 187× | 2 | valid |
| 431.0ms | 4 209× | 0 | valid |
| 318.0ms | 681× | 3 | valid |
| 216.0ms | 1 179× | 1 | valid |
ival-cos: 874.0ms (67.1% of total)adjust: 213.0ms (16.4% of total)ival-mult!: 88.0ms (6.8% of total)ival-div!: 80.0ms (6.1% of total)ival-sub!: 47.0ms (3.6% of total)Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 25 |
| 1 | 46 | 25 |
| 2 | 112 | 25 |
| 3 | 187 | 25 |
| 4 | 405 | 24 |
| 5 | 1957 | 24 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(abs x)
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x)) |
| 1.0ms | x | @ | inf | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x)) |
| 1.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 264 |
| 0 | 70 | 264 |
| 1 | 312 | 264 |
| 0 | 2707 | 252 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64)) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
x |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (cos x) (cos.f64 x)) |
Compiled 469 to 231 computations (50.7% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 11 | 61 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 50 | 12 | 62 |
| Status | Accuracy | Program |
|---|---|---|
| 48.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) | |
| ▶ | 48.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
| ▶ | 49.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 48.1% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x)) | |
| ▶ | 10.8% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
| 48.4% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) | |
| 48.2% | (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) | |
| ✓ | 48.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 26.6% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 48.4% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ▶ | 53.1% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ▶ | 54.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 252 to 232 computations (7.9% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/24 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2)) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4)))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#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 (+ (cos x) 1) #s(hole binary64 2)) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x))))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x)))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | ((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ (cos x) 1)) |
| 5.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ (cos x) 1)) |
| 3.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ (cos x) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 1798 |
| 0 | 283 | 1483 |
| 1 | 1149 | 1445 |
| 0 | 8815 | 1385 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/24 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2)) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4)))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#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 (+ (cos x) 1) #s(hole binary64 2)) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x))))) |
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x)))) |
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x)))) |
| Outputs |
|---|
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal -1/24 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/24 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x #s(literal 1 binary64))) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(literal -1/24 binary64) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (fma.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (cos.f64 x) x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x))) |
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) |
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)))) |
(fma.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
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(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(-.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) |
(-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 x x) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (* x x) -1/24) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* x x) -1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (* 1 (* x x)) (*.f64 x x)) |
#s(approx x x) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) x)) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (*.f64 x x))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) (*.f64 x x))) |
#s(approx (* 1 (* x x)) (*.f64 x x)) |
#s(approx (* (* x x) (cos x)) (*.f64 x x)) |
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) |
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) |
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) x) x)) |
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 x x)) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x) x)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64)) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (cos (* 2 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x #s(literal 1/2 binary64))) |
#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 (-.f64 (*.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 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (* 2 x) (+.f64 x x)) |
#s(approx (+ (cos x) 1) #s(literal 2 binary64)) |
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (cos x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64))) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (cos.f64 x) x) x)) |
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x))) |
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
Compiled 6 514 to 2 315 computations (64.5% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 14 | 590 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 582 | 20 | 602 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 12.5% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
| 75.3% | (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 48.2% | (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| ▶ | 49.4% | (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x) |
| ▶ | 48.3% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
| ✓ | 49.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 48.4% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| 48.4% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 30.0% | (/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x) | |
| 49.4% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 10.8% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 48.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 26.6% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 48.3% | (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) | |
| 11.0% | (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| 12.1% | (/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 48.4% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| ▶ | 75.6% | (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
| ✓ | 53.1% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 54.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 395 to 369 computations (6.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(sin.f64 x) |
x |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
#s(literal -1 binary64) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 x (cos.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) x) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
| Outputs |
|---|
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 1/2)) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (cos x) -1) #s(hole binary64 2)) |
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* x (cos x)) #s(hole binary64 x)) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ -1 (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 x)) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#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 (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x)))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2))))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (cos x)))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x)))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x)))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x))))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | -inf | ((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- x (* x (cos x))) (* x x)) x) (/ (- x (* x (cos x))) (* x x)) (- x (* x (cos x))) (* x (cos x)) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (cos x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x)) |
| 6.0ms | x | @ | inf | ((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- x (* x (cos x))) (* x x)) x) (/ (- x (* x (cos x))) (* x x)) (- x (* x (cos x))) (* x (cos x)) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (cos x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x)) |
| 3.0ms | x | @ | 0 | ((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- x (* x (cos x))) (* x x)) x) (/ (- x (* x (cos x))) (* x x)) (- x (* x (cos x))) (* x (cos x)) (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (cos x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 377 | 2810 |
| 0 | 431 | 2563 |
| 1 | 1678 | 2531 |
| 0 | 8104 | 2442 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(sin.f64 x) |
x |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
#s(literal -1 binary64) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) |
(-.f64 x (*.f64 x (cos.f64 x))) |
(*.f64 x (cos.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) x) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 1/2)) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (cos x) -1) #s(hole binary64 2)) |
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* x (cos x)) #s(hole binary64 x)) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ -1 (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 x)) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#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 (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x))))) |
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x)))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2))))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (cos x)))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x)))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x))) |
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x)))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x))))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x))))))) |
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (fabs.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x))) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x)) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 x x) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(sin.f64 x) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
x |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (cos.f64 x) #s(literal -1 binary64)) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(literal -1 binary64) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (sin.f64 x) x) x) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (sin.f64 x) (*.f64 x x)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x) |
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(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 x x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 x x)))) |
(cos.f64 (neg.f64 (+.f64 x x))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(+.f64 (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(+.f64 x x) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(literal 1/2 binary64)) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx x x) |
#s(approx (- (cos x) -1) #s(literal 2 binary64)) |
#s(approx (- (cos x) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (- (cos x) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (- (cos x) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) (* x x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- x (* x (cos x))) (* x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- x (* x (cos x))) (* x x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- x (* x (cos x))) (* x x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) |
#s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) |
#s(approx (- x (* x (cos x))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- x (* x (cos x))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (* (cos x) x) x) |
#s(approx (* (cos x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (cos x) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (cos x) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (neg.f64 (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (cos x) x) x) (*.f64 x x)) |
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (cos x) x) x) |
#s(approx (* (cos x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (cos x) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (cos x) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (* (* x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 x x)) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#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 x x)) |
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
#s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (- (cos x) -1) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (/ (sin x) (* x x)) (/.f64 (sin.f64 x) (*.f64 x x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
#s(approx (- x (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
#s(approx (* (cos x) x) (*.f64 (cos.f64 x) x)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
#s(approx (* (* (cos x) x) x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
#s(approx (* (cos x) x) (*.f64 (cos.f64 x) x)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
#s(approx (/ (/ (- x (* x (cos x))) (* x x)) x) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (- x (* x (cos x))) (* x x)) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (- x (* x (cos x))) (*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
Compiled 5 528 to 1 898 computations (65.7% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 475 | 16 | 491 |
| Fresh | 6 | 5 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 484 | 27 | 511 |
| Status | Accuracy | Program |
|---|---|---|
| 39.4% | (fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| ▶ | 3.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
| 1.6% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) | |
| ▶ | 15.1% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
| 48.1% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))) | |
| 26.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| 15.1% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x))) x) | |
| ▶ | 49.4% | (/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x) |
| ✓ | 48.3% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
| ✓ | 49.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 49.5% | (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) | |
| ▶ | 30.0% | (/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
| 16.9% | (/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) | |
| 49.4% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 2.3% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) | |
| 10.8% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 38.2% | (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) | |
| ✓ | 48.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 26.6% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 48.3% | (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) | |
| 75.6% | (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| ▶ | 99.8% | (/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) x) |
| 12.1% | (/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 48.4% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 75.8% | (*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x))) | |
| ✓ | 53.1% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 54.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 593 to 557 computations (6.1% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) x) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
(/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) |
#s(approx (* (* (cos x) x) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (sin x) x) #s(hole binary64 1)) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ -1 (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* (cos x) x) #s(hole binary64 x)) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ -1 (pow x 2)))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)))) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 x)) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (/ -1 (* (* x x) x)) #s(hole binary64 (/ -1 (pow x 3)))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x)))))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2))))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (cos x)))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (- 1 (cos x))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (* -1 (/ (cos x) (pow x 2))))) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (cos x)))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x))))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (+ 1 (* -1 (cos x))))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (+ 1 (* -1 (cos x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | -inf | ((/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (* (* x x) 1/2) (* x x) 1/2 (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) 1 (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/ (/ (- x (* (cos x) x)) x) x) (/ (- x (* (cos x) x)) x) (- x (* (cos x) x)) (* (cos x) x) (cos x) (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) (/ (* (* (cos x) x) x) x) (* (* (cos x) x) x) (/ -1 (* (* x x) x)) -1) |
| 8.0ms | x | @ | inf | ((/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (* (* x x) 1/2) (* x x) 1/2 (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) 1 (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/ (/ (- x (* (cos x) x)) x) x) (/ (- x (* (cos x) x)) x) (- x (* (cos x) x)) (* (cos x) x) (cos x) (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) (/ (* (* (cos x) x) x) x) (* (* (cos x) x) x) (/ -1 (* (* x x) x)) -1) |
| 3.0ms | x | @ | 0 | ((/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (* (* x x) 1/2) (* x x) 1/2 (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/ 1 x) 1 (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (neg (* (* (cos x) x) x)) (* (* (cos x) x) x) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/ (/ (- x (* (cos x) x)) x) x) (/ (- x (* (cos x) x)) x) (- x (* (cos x) x)) (* (cos x) x) (cos x) (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) (/ (* (* (cos x) x) x) x) (* (* (cos x) x) x) (/ -1 (* (* x x) x)) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 2807 |
| 0 | 369 | 2556 |
| 0 | 1330 | 2480 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) x) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
(/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) |
#s(approx (* (* (cos x) x) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(*.f64 (cos.f64 x) x) |
(cos.f64 x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal -1 binary64) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (sin x) x) #s(hole binary64 1)) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ -1 (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 1/2)) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (* (cos x) x) #s(hole binary64 x)) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ -1 (pow x 2)))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)))) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 x)) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2)))))) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
#s(approx (/ -1 (* (* x x) x)) #s(hole binary64 (/ -1 (pow x 3)))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x)))))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) #s(hole binary64 (* -1 (/ (cos x) (pow x 2))))) |
#s(approx (neg (* (* (cos x) x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x))))) |
#s(approx (* (* (cos x) x) x) #s(hole binary64 (* (pow x 2) (cos x)))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2)))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) x))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (- 1 (cos x))))) |
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x)))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (* (/ (* (* (cos x) x) x) x) (/ -1 (* (* x x) x))) #s(hole binary64 (* -1 (/ (cos x) (pow x 2))))) |
#s(approx (/ (* (* (cos x) x) x) x) #s(hole binary64 (* x (cos x)))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x)))))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x)))))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x))))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2)))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x))) |
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (+ 1 (* -1 (cos x))))) |
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (+ 1 (* -1 (cos x)))))) |
| Outputs |
|---|
(/.f64 (neg.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)))) (neg.f64 x)) |
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) x) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
(/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 x)) |
(/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(neg.f64 (/.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) |
#s(approx (* (* (cos x) x) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 (*.f64 x x) x)) |
(pow.f64 x #s(literal 4 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 x (*.f64 (cos.f64 x) x))) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) |
(-.f64 (/.f64 x x) (/.f64 (*.f64 (cos.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x))) (+.f64 x (*.f64 (cos.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (cos.f64 x) x) x)))) |
(-.f64 x (*.f64 (cos.f64 x) x)) |
(+.f64 x (*.f64 (neg.f64 (cos.f64 x)) x)) |
(*.f64 (cos.f64 x) x) |
(*.f64 x (cos.f64 x)) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x)) x) |
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) x) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 (*.f64 (cos.f64 x) x) (/.f64 x x)) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) x) x) |
(*.f64 (cos.f64 x) (*.f64 x x)) |
(*.f64 x (*.f64 (cos.f64 x) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal -1 binary64) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx x x) |
#s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (* (* x x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (neg.f64 (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (cos x) x) x) (*.f64 x x)) |
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (* x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- x (* (cos x) x)) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- x (* (cos x) x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- x (* (cos x) x)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (- x (* (cos x) x)) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (- x (* (cos x) x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) |
#s(approx (- x (* (cos x) x)) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) |
#s(approx (- x (* (cos x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (- x (* (cos x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (* (cos x) x) x) |
#s(approx (* (cos x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (cos x) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (cos x) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (* (* (cos x) x) x) x) x) |
#s(approx (/ (* (* (cos x) x) x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (* (* (cos x) x) x) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (* (* (cos x) x) x) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ -1 (* (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
#s(approx (* (/ (sin x) x) (tan (/ x 2))) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x)) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
#s(approx (neg (* (* (cos x) x) x)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) |
#s(approx (* (* (cos x) x) x) (*.f64 (*.f64 (cos.f64 x) x) x)) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
#s(approx (/ (- x (* (cos x) x)) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (- x (* (cos x) x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) |
#s(approx (* (cos x) x) (*.f64 (cos.f64 x) x)) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x))) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
#s(approx (/ (* (* (cos x) x) x) x) (*.f64 (cos.f64 x) x)) |
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))) |
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
#s(approx (/ (/ (/ (- x (* (cos x) x)) x) x) x) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (/ (- x (* (cos x) x)) x) x) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (- x (* (cos x) x)) x) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
#s(approx (- x (* (cos x) x)) (*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x)) |
Compiled 2 374 to 886 computations (62.7% saved)
33 alts after pruning (25 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 11 | 211 |
| Fresh | 2 | 14 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 205 | 33 | 238 |
| Status | Accuracy | Program |
|---|---|---|
| 39.4% | (fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 3.4% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x)) | |
| 3.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) | |
| ✓ | 3.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
| 3.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))) | |
| 3.8% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) | |
| ✓ | 15.1% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
| 3.5% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) | |
| 27.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) | |
| 48.1% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))) | |
| 26.9% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| 15.1% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x))) x) | |
| 48.3% | (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x)) | |
| ✓ | 49.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | 30.0% | (/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
| 27.4% | (/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x) | |
| 16.9% | (/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) | |
| 49.4% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 2.3% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) | |
| 10.8% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 38.2% | (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) | |
| ✓ | 48.3% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 26.6% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 48.3% | (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) | |
| 75.6% | (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 76.2% | (/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)) x) | |
| 99.8% | (/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64)))))) x) | |
| 12.1% | (/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| 48.4% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 3.5% | (+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 75.8% | (*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x))) | |
| ✓ | 53.1% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| ✓ | 54.0% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 888 to 644 computations (27.5% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x)) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x))) x) |
(fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64)))))) x) |
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) x) |
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)) x) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 #s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (*.f64 x #s(literal 1/2 binary64)))))) x) |
2 calls:
| 19.0ms | x |
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.8% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x)) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 x x) x))) x) |
(fma.f64 (/.f64 (*.f64 (cos.f64 x) x) x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(*.f64 #s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 9.0ms | x |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.7% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x)) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(+.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x)) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 #s(approx (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (* (* (cos x) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (* (* (cos x) x) x) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ (* (* (cos x) x) x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 79.3% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(approx (- x (* x (cos x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 x x)) x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (* (* (cos x) x) x)) (* (* (* x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x) |
(/.f64 (/.f64 #s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) x) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total -0.7b remaining (-2.5%)
Threshold costs -0.7b (-2.5%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 54.0% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.00010333701719116784 | 7203.1043430748305 |
| 6.0ms | 128× | 0 | valid |
| 1.0ms | 16× | 1 | valid |
Compiled 164 to 181 computations (-10.4% saved)
ival-cos: 2.0ms (54.4% of total)ival-mult!: 1.0ms (27.2% of total)ival-div!: 1.0ms (27.2% of total)adjust: 0.0ms (0% of total)ival-sub!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00010333701719116784 | 7203.1043430748305 |
Compiled 164 to 181 computations (-10.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.4134898925163895e+54 | 3.6164445207013035e+57 |
| 9.0ms | 128× | 0 | valid |
Compiled 195 to 202 computations (-3.6% saved)
ival-cos: 5.0ms (77.5% of total)ival-mult!: 1.0ms (15.5% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.00010333701719116784 | 7203.1043430748305 |
| 8.0ms | 128× | 0 | valid |
Compiled 263 to 271 computations (-3% saved)
ival-cos: 4.0ms (69.3% of total)ival-mult!: 1.0ms (17.3% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 6.131260546390999e+75 | 2.3849579830673746e+83 |
| 10.0ms | 144× | 0 | valid |
Compiled 146 to 163 computations (-11.6% saved)
ival-cos: 5.0ms (72.8% of total)ival-mult!: 1.0ms (14.6% of total)ival-div!: 1.0ms (14.6% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | fuel |
Compiled 89 to 70 computations (21.3% saved)
(abs x)
Compiled 375 to 340 computations (9.3% saved)
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