ENA, Section 1.4, Mentioned, A
Time bar (total: 4.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 0 |
| 100% | 49.6% | 0% | 50.4% | 0% | 0% | 0% | 1 |
Compiled 12 to 9 computations (25% saved)
| 2.5s | 4361× | body | 2048 | valid |
| 565.0ms | 2079× | body | 1024 | valid |
| 228.0ms | 1038× | body | 512 | valid |
| 84.0ms | 778× | body | 256 | valid |
| 1× | egg-herbie |
| 22× | sub-neg |
| 16× | fma-def |
| 12× | +-commutative |
| 8× | associate--r+ |
| 8× | associate-+l- |
| 143× | (-.f64 1 (cos.f64 x)) |
| 113× | No Errors |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 19 | 42 |
| 2 | 24 | 42 |
| 3 | 33 | 42 |
| 4 | 43 | 42 |
| 5 | 57 | 42 |
| 6 | 72 | 42 |
| 7 | 81 | 42 |
| 8 | 84 | 42 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 (neg.f64 x))) |
| Outputs |
|---|
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 x)) |
(-.f64 1 (cos.f64 (neg.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(abs x)
Compiled 15 to 10 computations (33.3% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.4% | (-.f64 1 (cos.f64 x)) |
| ▶ | 49.4% | (-.f64 1 (cos.f64 x)) |
Compiled 10 to 8 computations (20% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 49.4% | (-.f64 1 (cos.f64 x)) |
Compiled 10 to 6 computations (40% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | -inf | (-.f64 1 (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 440× | unpow-prod-down |
| 363× | log1p-expm1-u |
| 363× | expm1-log1p-u |
| 341× | add-exp-log |
| 328× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 79 | 14 |
| 2 | 948 | 14 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 0 (-.f64 1 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (log.f64 (E.f64))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))) |
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1) |
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(fma.f64 1 (neg.f64 (cos.f64 x)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (cbrt.f64 (neg.f64 (cos.f64 x))) 1) |
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1) |
(fma.f64 -1 (cos.f64 x) 1) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1) |
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1) |
| 1× | egg-herbie |
| 1806× | times-frac |
| 1002× | associate-/l* |
| 828× | fma-def |
| 754× | associate-/r* |
| 588× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 2086 |
| 1 | 388 | 1957 |
| 2 | 1027 | 1877 |
| 3 | 3594 | 1873 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(+.f64 0 (-.f64 1 (cos.f64 x))) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (log.f64 (E.f64))) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))) |
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1) |
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2)) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(fma.f64 1 (neg.f64 (cos.f64 x)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (cbrt.f64 (neg.f64 (cos.f64 x))) 1) |
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1) |
(fma.f64 -1 (cos.f64 x) 1) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1) |
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (pow.f64 x 2) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8))))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 1 (neg.f64 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(+.f64 0 (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (neg.f64 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) 3) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (log.f64 (E.f64))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/4) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/4) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) |
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/4) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/4) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 5/2)) |
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) |
(-.f64 1 (cos.f64 x)) |
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1) |
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) |
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(-.f64 1 (cos.f64 x)) |
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) |
(-.f64 1 (cos.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3)) |
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3)) |
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2)) |
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x)))) |
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x)))) |
(-.f64 1 (cos.f64 x)) |
(fma.f64 1 (neg.f64 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1) |
(-.f64 1 (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1) |
(-.f64 1 (cos.f64 x)) |
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (cbrt.f64 (neg.f64 (cos.f64 x))) 1) |
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1) |
(-.f64 1 (cos.f64 x)) |
(fma.f64 -1 (cos.f64 x) 1) |
(-.f64 1 (cos.f64 x)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1) |
(-.f64 1 (cos.f64 x)) |
Compiled 1033 to 692 computations (33% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 3 | 86 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 83 | 4 | 87 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.4% | (-.f64 1 (cos.f64 x)) |
| ▶ | 99.8% | (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
| ▶ | 100.0% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ▶ | 99.1% | (*.f64 1/2 (pow.f64 x 2)) |
| ✓ | 49.4% | (-.f64 1 (cos.f64 x)) |
| ▶ | 99.8% | (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
| ▶ | 100.0% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ▶ | 99.1% | (*.f64 1/2 (pow.f64 x 2)) |
Compiled 62 to 50 computations (19.4% saved)
Found 3 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f64 -1/24 (pow.f64 x 4)) |
| ✓ | 100.0% | (tan.f64 (/.f64 x 2)) |
| ✓ | 100.0% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
Compiled 63 to 46 computations (27% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 -1/24 (pow.f64 x 4)) |
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 1.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| 0.0ms | x | @ | inf | (*.f64 -1/24 (pow.f64 x 4)) |
| 1× | batch-egg-rewrite |
| 1024× | unpow-prod-down |
| 762× | log-prod |
| 665× | log1p-expm1-u |
| 665× | expm1-log1p-u |
| 484× | pow-prod-down |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 57 |
| 1 | 161 | 57 |
| 2 | 1874 | 57 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(tan.f64 (/.f64 x 2)) |
(*.f64 -1/24 (pow.f64 x 4)) |
| Outputs |
|---|
(+.f64 0 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2) 1/2) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(+.f64 0 (tan.f64 (*.f64 x 1/2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))) |
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (log.f64 (exp.f64 1))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1)) |
(*.f64 1 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (pow.f64 1 1/3) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 1/3)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 1/3) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1/3)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (-.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)) (+.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1))) |
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1) |
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2) |
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (tan.f64 (/.f64 x -2))) |
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) |
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2))))) |
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) |
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) |
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2)) |
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2)))) |
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1) |
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3) |
(pow.f64 (*.f64 (pow.f64 x 8) 1/576) 1/2) |
(pow.f64 (*.f64 (pow.f64 x 12) -1/13824) 1/3) |
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576)) |
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))) |
(cbrt.f64 (*.f64 (pow.f64 x 12) -1/13824)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4)))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 12) -1/13824)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))) |
| 1× | egg-herbie |
| 1452× | fma-def |
| 1258× | log-prod |
| 666× | exp-prod |
| 638× | distribute-lft-in |
| 600× | distribute-rgt-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 270 | 3040 |
| 1 | 593 | 2913 |
| 2 | 1773 | 2899 |
| 3 | 6872 | 2857 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))) |
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) |
(+.f64 0 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) |
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2) 1/2) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) |
(+.f64 0 (tan.f64 (*.f64 x 1/2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))) |
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) 1) |
(*.f64 (tan.f64 (*.f64 x 1/2)) (log.f64 (exp.f64 1))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) |
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1)) |
(*.f64 1 (tan.f64 (*.f64 x 1/2))) |
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) |
(*.f64 (pow.f64 1 1/3) (tan.f64 (*.f64 x 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 1/3)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 1/3) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1/3)) |
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) |
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))) |
(/.f64 (-.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)) (+.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1))) |
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1) |
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2) |
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -1) |
(neg.f64 (tan.f64 (/.f64 x -2))) |
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) |
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2))))) |
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) |
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) |
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2)) |
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2)))) |
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1) |
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1) |
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3) |
(pow.f64 (*.f64 (pow.f64 x 8) 1/576) 1/2) |
(pow.f64 (*.f64 (pow.f64 x 12) -1/13824) 1/3) |
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576)) |
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))) |
(cbrt.f64 (*.f64 (pow.f64 x 12) -1/13824)) |
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4)))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 12) -1/13824)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6)))) |
(fma.f64 1/2 (pow.f64 x 2) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))) |
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/40320 (pow.f64 x 8))))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) |
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x)) |
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(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1)) |
(*.f64 -1/24 (pow.f64 x 4)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))) 1) 1)) |
(*.f64 -1/24 (pow.f64 x 4)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4)))) 3)) |
(*.f64 -1/24 (pow.f64 x 4)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 12) -1/13824)) 1/3)) |
(cbrt.f64 (*.f64 (pow.f64 x 12) -1/13824)) |
(cbrt.f64 (*.f64 -1/13824 (pow.f64 x 12))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24))) 2)) |
(*.f64 -1/24 (pow.f64 x 4)) |
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))) |
(*.f64 -1/24 (pow.f64 x 4)) |
Compiled 1864 to 1406 computations (24.6% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 1 | 134 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 133 | 5 | 138 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.4% | (-.f64 1 (cos.f64 x)) |
| ✓ | 99.8% | (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
| ▶ | 99.1% | (*.f64 (sin.f64 x) (*.f64 1/2 x)) |
| ✓ | 100.0% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 99.1% | (*.f64 1/2 (pow.f64 x 2)) |
| ✓ | 49.4% | (-.f64 1 (cos.f64 x)) |
| ✓ | 99.8% | (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
| ▶ | 99.1% | (*.f64 (sin.f64 x) (*.f64 1/2 x)) |
| ✓ | 100.0% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 99.1% | (*.f64 1/2 (pow.f64 x 2)) |
Compiled 76 to 60 computations (21.1% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (sin.f64 x) (*.f64 1/2 x)) |
Compiled 15 to 9 computations (40% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 x) (*.f64 1/2 x)) |
| 1.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (*.f64 1/2 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (*.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 650× | unpow-prod-down |
| 472× | log-prod |
| 462× | cbrt-prod |
| 371× | log1p-expm1-u |
| 371× | expm1-log1p-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 87 | 23 |
| 2 | 1009 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
| Outputs |
|---|
(+.f64 0 (*.f64 x (*.f64 (sin.f64 x) 1/2))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))))) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 (sin.f64 x) 1/2))) 1) |
(pow.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)) 2) 1/2) |
(pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3)) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))) 2) |
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))))) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)) 2)) |
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
| 1× | egg-herbie |
| 1128× | log-prod |
| 978× | distribute-lft-in |
| 912× | unswap-sqr |
| 878× | distribute-rgt-in |
| 782× | *-commutative |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1041 |
| 1 | 203 | 1041 |
| 2 | 540 | 1021 |
| 3 | 2255 | 1021 |
| 4 | 7050 | 1003 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 -1/10080 (pow.f64 x 8)) (+.f64 (*.f64 1/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(+.f64 0 (*.f64 x (*.f64 (sin.f64 x) 1/2))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))))) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 (sin.f64 x) 1/2))) 1) |
(pow.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)) 2) 1/2) |
(pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3)) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))) 2) |
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))))) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)) 2)) |
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 -1/12 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/12 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) |
(fma.f64 -1/12 (pow.f64 x 4) (fma.f64 1/240 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) |
(fma.f64 -1/12 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/240 (pow.f64 x 6)))) |
(fma.f64 1/2 (pow.f64 x 2) (fma.f64 -1/12 (pow.f64 x 4) (*.f64 1/240 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 -1/10080 (pow.f64 x 8)) (+.f64 (*.f64 1/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))) |
(fma.f64 -1/12 (pow.f64 x 4) (fma.f64 -1/10080 (pow.f64 x 8) (fma.f64 1/240 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))) |
(fma.f64 -1/12 (pow.f64 x 4) (fma.f64 -1/10080 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/240 (pow.f64 x 6))))) |
(fma.f64 -1/12 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/240 (pow.f64 x 6) (*.f64 -1/10080 (pow.f64 x 8))))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(+.f64 0 (*.f64 x (*.f64 (sin.f64 x) 1/2))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))))) |
(*.f64 (sin.f64 x) (log.f64 (sqrt.f64 (exp.f64 x)))) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 (sin.f64 x) 1/2))) 1) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(pow.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)) 1) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))) 3) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)) 2) 1/2) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3)) 1/3) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3))) |
(*.f64 (*.f64 x (sin.f64 x)) (cbrt.f64 1/8)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))) 2) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 (*.f64 x (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 (*.f64 x (sin.f64 x)))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 1/2 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 (*.f64 x (sin.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 1/2 (*.f64 x (sin.f64 x)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 1/2 x))))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 1/2 x))))) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)) 2)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))) |
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))))) |
(*.f64 (sin.f64 x) (log.f64 (sqrt.f64 (exp.f64 x)))) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3))) |
(*.f64 (*.f64 x (sin.f64 x)) (cbrt.f64 1/8)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) 3)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3))) 1/3)) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 x (sin.f64 x)) 3))) |
(*.f64 (*.f64 x (sin.f64 x)) (cbrt.f64 1/8)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) 2)) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (sin.f64 x) 1/2)))) |
(*.f64 1/2 (*.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
Compiled 521 to 346 computations (33.6% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 0 | 42 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 42 | 5 | 47 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.4% | (-.f64 1 (cos.f64 x)) |
| ✓ | 99.8% | (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
| ✓ | 99.1% | (*.f64 (sin.f64 x) (*.f64 1/2 x)) |
| ✓ | 100.0% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
| ✓ | 99.1% | (*.f64 1/2 (pow.f64 x 2)) |
Compiled 72 to 55 computations (23.6% saved)
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
3 calls:
| 5.0ms | (-.f64 1 (cos.f64 x)) |
| 4.0ms | x |
| 2.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 1 (cos.f64 x)) |
| 100.0% | 1 | (cos.f64 x) |
Compiled 44 to 32 computations (27.3% saved)
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (cos.f64 x) |
| 2.0ms | (-.f64 1 (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (-.f64 1 (cos.f64 x)) |
| 99.1% | 1 | (cos.f64 x) |
Compiled 26 to 19 computations (26.9% saved)
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
3 calls:
| 10.0ms | (-.f64 1 (cos.f64 x)) |
| 3.0ms | x |
| 2.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (-.f64 1 (cos.f64 x)) |
| 99.1% | 1 | (cos.f64 x) |
Compiled 20 to 15 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
(-.f64 1 (cos.f64 x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 1 (cos.f64 x)) |
| 2.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.4% | 1 | x |
| 49.4% | 1 | (-.f64 1 (cos.f64 x)) |
| 49.4% | 1 | (cos.f64 x) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 10× | *-commutative |
| 4× | sub-neg |
| 4× | +-commutative |
| 2× | 1-exp |
| 2× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 80 |
| 1 | 27 | 80 |
| 2 | 31 | 80 |
| 3 | 33 | 80 |
| 4 | 34 | 80 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 1 (cos.f64 x)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) |
(*.f64 (sin.f64 x) (*.f64 1/2 x)) |
(*.f64 (sin.f64 x) (*.f64 x 1/2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(-.f64 1 (cos.f64 x)) |
Compiled 26 to 20 computations (23.1% saved)
| 1806× | times-frac |
| 1002× | associate-/l* |
| 828× | fma-def |
| 754× | associate-/r* |
| 588× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 79 | 14 |
| 2 | 948 | 14 |
| 0 | 179 | 2086 |
| 1 | 388 | 1957 |
| 2 | 1027 | 1877 |
| 3 | 3594 | 1873 |
| 1× | node limit |
| 1× | node limit |
Compiled 131 to 76 computations (42% saved)
(abs x)
Compiled 94 to 66 computations (29.8% saved)
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