math.cube on real
Time bar (total: 1.4s)
| 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 7 to 4 computations (42.9% saved)
| 472.0ms | 5539× | body | 256 | valid |
| 296.0ms | 2717× | body | 256 | infinite |
| 1× | egg-herbie |
| 1394× | fma-def |
| 1232× | fma-neg |
| 1026× | distribute-lft-neg-in |
| 968× | unswap-sqr |
| 840× | distribute-rgt-neg-in |
| 256× | No Errors |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 92 |
| 1 | 30 | 44 |
| 2 | 66 | 44 |
| 3 | 147 | 44 |
| 4 | 216 | 44 |
| 5 | 358 | 44 |
| 6 | 647 | 44 |
| 7 | 1002 | 44 |
| 8 | 1510 | 44 |
| 9 | 3035 | 44 |
| 10 | 5143 | 44 |
| 11 | 6351 | 44 |
| 12 | 7308 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x 3) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x 3) |
(*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(pow.f64 (neg.f64 x) 3) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x 3) |
(negabs x)
Compiled 17 to 7 computations (58.8% saved)
Compiled 9 to 5 computations (44.4% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (pow.f64 x 3) |
| ▶ | 99.8% | (*.f64 (*.f64 x x) x) |
| ▶ | 100.0% | (pow.f64 x 3) |
| ▶ | 99.8% | (*.f64 (*.f64 x x) x) |
Compiled 20 to 12 computations (40% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (*.f64 x x) x) |
Compiled 16 to 7 computations (56.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) x) |
| 1× | batch-egg-rewrite |
| 648× | log1p-expm1-u |
| 630× | associate-*r* |
| 612× | expm1-udef |
| 612× | log1p-udef |
| 462× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 66 | 10 |
| 2 | 624 | 10 |
| 3 | 6192 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(+.f64 (+.f64 (pow.f64 x 3) 1) -1) |
(+.f64 0 (pow.f64 x 3)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3))))) |
(-.f64 (+.f64 (pow.f64 x 3) 1) 1) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x 3) 1) 3) 1) (+.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 (pow.f64 x 3) 1)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1)) 1) (+.f64 (+.f64 (pow.f64 x 3) 1) 1)) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 2) 3/2) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 (cbrt.f64 x) 9) |
(pow.f64 (pow.f64 x 6) 1/2) |
(pow.f64 (sqrt.f64 x) 6) |
(pow.f64 (pow.f64 x 3/2) 2) |
(pow.f64 (pow.f64 x 9) 1/3) |
(pow.f64 (E.f64) (log.f64 (pow.f64 x 3))) |
(pow.f64 (exp.f64 3) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x 3))) 2)) (cbrt.f64 (log.f64 (pow.f64 x 3)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 x 3)))) (sqrt.f64 (log.f64 (pow.f64 x 3)))) |
(sqrt.f64 (pow.f64 x 6)) |
(fabs.f64 (pow.f64 x 3)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 x 9)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (log.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 x)) 2)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3)) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
| 1× | egg-herbie |
| 660× | fma-neg |
| 660× | distribute-lft-out |
| 592× | associate-+l- |
| 554× | fma-def |
| 540× | associate-+r- |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 620 |
| 1 | 189 | 593 |
| 2 | 568 | 582 |
| 3 | 2975 | 578 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(+.f64 (+.f64 (pow.f64 x 3) 1) -1) |
(+.f64 0 (pow.f64 x 3)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3))))) |
(-.f64 (+.f64 (pow.f64 x 3) 1) 1) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x 3) 1) 3) 1) (+.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 (pow.f64 x 3) 1)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1)) 1) (+.f64 (+.f64 (pow.f64 x 3) 1) 1)) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 2) 3/2) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 (cbrt.f64 x) 9) |
(pow.f64 (pow.f64 x 6) 1/2) |
(pow.f64 (sqrt.f64 x) 6) |
(pow.f64 (pow.f64 x 3/2) 2) |
(pow.f64 (pow.f64 x 9) 1/3) |
(pow.f64 (E.f64) (log.f64 (pow.f64 x 3))) |
(pow.f64 (exp.f64 3) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x 3))) 2)) (cbrt.f64 (log.f64 (pow.f64 x 3)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 x 3)))) (sqrt.f64 (log.f64 (pow.f64 x 3)))) |
(sqrt.f64 (pow.f64 x 6)) |
(fabs.f64 (pow.f64 x 3)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 x 9)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (log.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 x)) 2)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3)) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
| Outputs |
|---|
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(+.f64 (+.f64 (pow.f64 x 3) 1) -1) |
(pow.f64 x 3) |
(+.f64 0 (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3))))) |
(-.f64 (+.f64 (pow.f64 x 3) 1) 1) |
(pow.f64 x 3) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x 3) 1) 3) 1) (+.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 (pow.f64 x 3) 1)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 x 3) 1) 3) -1) (fma.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x 3) 1) 3)) (fma.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x 3) 1) 3)) (fma.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 2) 1)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1)) 1) (+.f64 (+.f64 (pow.f64 x 3) 1) 1)) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 2) 3/2) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3) 1) |
(pow.f64 x 3) |
(pow.f64 (cbrt.f64 x) 9) |
(pow.f64 (pow.f64 x 6) 1/2) |
(pow.f64 x 3) |
(pow.f64 (sqrt.f64 x) 6) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 3/2) 2) |
(pow.f64 x 3) |
(pow.f64 (pow.f64 x 9) 1/3) |
(pow.f64 x 3) |
(pow.f64 (E.f64) (log.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(pow.f64 (exp.f64 3) (log.f64 x)) |
(pow.f64 x 3) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x 3))) 2)) (cbrt.f64 (log.f64 (pow.f64 x 3)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 x))) 2)) (cbrt.f64 (*.f64 3 (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 x 3)))) (sqrt.f64 (log.f64 (pow.f64 x 3)))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 x)))) (sqrt.f64 (*.f64 3 (log.f64 x)))) |
(sqrt.f64 (pow.f64 x 6)) |
(pow.f64 x 3) |
(fabs.f64 (pow.f64 x 3)) |
(pow.f64 x 3) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(cbrt.f64 (pow.f64 x 9)) |
(pow.f64 x 3) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(exp.f64 (log.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 x)) 2)) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3)) |
(pow.f64 x 3) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
Compiled 371 to 307 computations (17.3% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 0 | 37 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 37 | 2 | 39 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 x 3) |
| ✓ | 99.8% | (*.f64 (*.f64 x x) x) |
Compiled 19 to 11 computations (42.1% saved)
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
(pow.f64 x 3) |
| Outputs |
|---|
(pow.f64 x 3) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 (*.f64 x x) x) |
Compiled 17 to 9 computations (47.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 x x) x) |
Compiled 14 to 7 computations (50% saved)
| 1× | egg-herbie |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 10 | 32 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 x 3) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(pow.f64 x 3) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
Compiled 10 to 6 computations (40% saved)
| 1394× | fma-def |
| 1232× | fma-neg |
| 1026× | distribute-lft-neg-in |
| 968× | unswap-sqr |
| 840× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 92 |
| 1 | 30 | 44 |
| 2 | 66 | 44 |
| 3 | 147 | 44 |
| 4 | 216 | 44 |
| 5 | 358 | 44 |
| 6 | 647 | 44 |
| 7 | 1002 | 44 |
| 8 | 1510 | 44 |
| 9 | 3035 | 44 |
| 10 | 5143 | 44 |
| 11 | 6351 | 44 |
| 12 | 7308 | 44 |
| 1× | node limit |
Compiled 9 to 5 computations (44.4% saved)
(negabs x)
Compiled 62 to 40 computations (35.5% saved)
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