Hyperbolic sine
Time bar (total: 2.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 10 to 8 computations (20% saved)
| 852.0ms | 2006× | body | 1024 | valid |
| 481.0ms | 4135× | body | 256 | infinite |
| 273.0ms | 1033× | body | 512 | valid |
| 138.0ms | 958× | body | 256 | valid |
| 44.0ms | 124× | body | 2048 | valid |
| 1× | egg-herbie |
| 1024× | fma-def |
| 804× | associate-/l* |
| 738× | associate-*l* |
| 704× | associate-/r/ |
| 570× | difference-of-squares |
| truth | opred | ex | upred | ex | subexpr |
|---|---|---|---|---|---|
| 130 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 126 | 0 | - | 0 | - | #f |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | 2 |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 124 |
| 1 | 42 | 124 |
| 2 | 90 | 124 |
| 3 | 179 | 124 |
| 4 | 439 | 116 |
| 5 | 1418 | 116 |
| 6 | 5999 | 116 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) 2) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) 2)) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) 2) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) |
(fma.f64 -1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) |
(fma.f64 (exp.f64 x) -1/2 (/.f64 1/2 (exp.f64 x))) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) 2)) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x))) |
(negabs x)
Compiled 59 to 25 computations (57.6% saved)
Compiled 25 to 15 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.2% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| ▶ | 53.2% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
Compiled 18 to 14 computations (22.2% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 53.1% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 25 to 9 computations (64% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | inf | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 78× | associate-*r* |
| 51× | add-exp-log |
| 51× | add-log-exp |
| 51× | log1p-expm1-u |
| 51× | expm1-log1p-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 118 | 14 |
| 2 | 1868 | 14 |
| 1× | unsound |
| Inputs |
|---|
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
-2 |
0 |
1/2 |
3/2 |
2 |
4 |
6 |
8 |
| 1× | egg-herbie |
| 1536× | fma-def |
| 1352× | unswap-sqr |
| 794× | associate-*r/ |
| 668× | associate-*r* |
| 524× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 250 |
| 1 | 70 | 250 |
| 2 | 146 | 250 |
| 3 | 358 | 250 |
| 4 | 739 | 250 |
| 5 | 1698 | 250 |
| 6 | 2599 | 250 |
| 7 | 4154 | 250 |
| 8 | 6906 | 250 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) |
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))) |
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
-2 |
0 |
1/2 |
3/2 |
2 |
4 |
6 |
8 |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) |
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)) |
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))) |
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))) |
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) |
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))) |
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))) |
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))) |
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))) |
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))) |
(fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))) |
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))) |
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
-2 |
0 |
1/2 |
3/2 |
2 |
4 |
6 |
8 |
Compiled 298 to 243 computations (18.5% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 5 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 21 | 6 | 27 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.2% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| ▶ | 85.3% | (/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) |
| ▶ | 53.3% | (/.f64 (*.f64 2 x) 2) |
| ▶ | 4.2% | (/.f64 8 2) |
| ▶ | 4.2% | (/.f64 1/2 2) |
| ▶ | 3.6% | (/.f64 0 2) |
| ✓ | 53.2% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| ▶ | 85.3% | (/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) |
| ▶ | 53.3% | (/.f64 (*.f64 2 x) 2) |
| ▶ | 4.2% | (/.f64 8 2) |
| ▶ | 4.2% | (/.f64 1/2 2) |
| ▶ | 3.6% | (/.f64 0 2) |
Compiled 138 to 122 computations (11.6% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 1/3 (pow.f64 x 3)) |
Compiled 62 to 51 computations (17.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 1/3 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (*.f64 1/3 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (*.f64 1/3 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 1000× | associate-*r* |
| 862× | associate-*l* |
| 472× | unpow-prod-down |
| 306× | log-prod |
| 278× | cbrt-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 74 | 16 |
| 2 | 735 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (pow.f64 x 3)) |
| Outputs |
|---|
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1) |
(+.f64 0 (*.f64 1/3 (pow.f64 x 3))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))) |
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) (+.f64 1 (*.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) (+.f64 1 (*.f64 1/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)) |
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3) |
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2) |
(pow.f64 (*.f64 (pow.f64 x 9) 1/27) 1/3) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) 2) |
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 1/3))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) |
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9)) |
(fabs.f64 (*.f64 1/3 (pow.f64 x 3))) |
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) |
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 1/3))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 1/27)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))) |
| 1× | egg-herbie |
| 1352× | associate-*r/ |
| 990× | distribute-lft-out |
| 868× | fma-neg |
| 718× | distribute-rgt-out |
| 582× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 858 |
| 1 | 222 | 617 |
| 2 | 627 | 600 |
| 3 | 3120 | 600 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1) |
(+.f64 0 (*.f64 1/3 (pow.f64 x 3))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))) |
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) (+.f64 1 (*.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) (+.f64 1 (*.f64 1/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)) |
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3) |
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2) |
(pow.f64 (*.f64 (pow.f64 x 9) 1/27) 1/3) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) 2) |
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 1/3))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) |
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9)) |
(fabs.f64 (*.f64 1/3 (pow.f64 x 3))) |
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) |
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 1/3))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 1/27)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))) |
| Outputs |
|---|
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 0 (*.f64 1/3 (pow.f64 x 3))) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) (+.f64 1 (*.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 3) -1) (fma.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) (+.f64 1 (+.f64 1 (*.f64 1/3 (pow.f64 x 3)))))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) 1) 3)) (fma.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 1/3 (pow.f64 x 3) 1) (+.f64 (*.f64 1/3 (pow.f64 x 3)) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 1/3 (pow.f64 x 3) 2)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) (+.f64 1 (*.f64 1/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 x 9) 1/27) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27)) |
(cbrt.f64 (*.f64 1/27 (pow.f64 x 9))) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) 2) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 1/3))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) |
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9)) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(fabs.f64 (*.f64 1/3 (pow.f64 x 3))) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27)) |
(cbrt.f64 (*.f64 1/27 (pow.f64 x 9))) |
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 1/3))) 3)) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 1/27)) 1/3)) |
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27)) |
(cbrt.f64 (*.f64 1/27 (pow.f64 x 9))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3))) 2)) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) -1)) |
(*.f64 1/3 (pow.f64 x 3)) |
Compiled 610 to 521 computations (14.6% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 33 | 0 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 33 | 6 | 39 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.2% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| ✓ | 85.3% | (/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) |
| ✓ | 53.3% | (/.f64 (*.f64 2 x) 2) |
| ✓ | 4.2% | (/.f64 8 2) |
| ✓ | 4.2% | (/.f64 1/2 2) |
| ✓ | 3.6% | (/.f64 0 2) |
Compiled 73 to 63 computations (13.7% saved)
| Inputs |
|---|
(/.f64 0 2) |
(/.f64 1/2 2) |
(/.f64 8 2) |
(/.f64 (*.f64 2 x) 2) |
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
3 calls:
| 9.0ms | x |
| 4.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | x |
| 100.0% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| 100.0% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 52 to 42 computations (19.2% saved)
| Inputs |
|---|
(/.f64 0 2) |
(/.f64 1/2 2) |
(/.f64 8 2) |
(/.f64 (*.f64 2 x) 2) |
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 1 | x |
Compiled 28 to 24 computations (14.3% saved)
| Inputs |
|---|
(/.f64 0 2) |
(/.f64 1/2 2) |
(/.f64 8 2) |
(/.f64 (*.f64 2 x) 2) |
| Outputs |
|---|
(/.f64 (*.f64 2 x) 2) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 1 | x |
Compiled 17 to 15 computations (11.8% saved)
| Inputs |
|---|
(/.f64 0 2) |
(/.f64 1/2 2) |
(/.f64 8 2) |
| Outputs |
|---|
(/.f64 1/2 2) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.2% | 1 | x |
Compiled 12 to 11 computations (8.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 0 2) |
| Outputs |
|---|
(/.f64 0 2) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.6% | 1 | x |
Compiled 6 to 5 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.166809393750363e-6 | 1881224.4296597012 |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 8× | +-commutative |
| 8× | *-commutative |
| 6× | sub-neg |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 156 |
| 1 | 39 | 156 |
| 2 | 44 | 156 |
| 3 | 47 | 156 |
| 4 | 48 | 156 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 5902958103587057/590295810358705651712) (/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) |
(/.f64 (*.f64 2 x) 2) |
(/.f64 1/2 2) |
(/.f64 0 2) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 5902958103587057/590295810358705651712) (/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 5902958103587057/590295810358705651712) (/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x 2)) 2) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) |
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) 2) |
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x 2)) 2) |
(/.f64 (*.f64 2 x) 2) |
(/.f64 (*.f64 x 2) 2) |
(/.f64 1/2 2) |
1/4 |
(/.f64 0 2) |
0 |
Compiled 51 to 38 computations (25.5% saved)
| 78× | associate-*r* |
| 78× | associate-*r* |
| 51× | add-exp-log |
| 51× | add-log-exp |
| 51× | log1p-expm1-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 118 | 14 |
| 2 | 1868 | 14 |
| 0 | 10 | 14 |
| 1 | 118 | 14 |
| 2 | 1868 | 14 |
| 1× | unsound |
| 1× | unsound |
Compiled 402 to 272 computations (32.3% saved)
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