Time bar (total: 3.0s)
| 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 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0% | 25% | 0% | 0% | 4 |
| 80% | 50% | 12.5% | 0% | 37.5% | 0% | 0% | 5 |
| 88.9% | 50% | 6.2% | 0% | 43.7% | 0% | 0% | 6 |
| 94.1% | 50% | 3.1% | 0% | 46.9% | 0% | 0% | 7 |
| 97% | 50% | 1.6% | 0% | 48.4% | 0% | 0% | 8 |
| 98.5% | 50% | 0.8% | 0% | 49.2% | 0% | 0% | 9 |
| 99.2% | 50.4% | 0.4% | 0% | 49.2% | 0% | 0% | 10 |
| 99.6% | 50.4% | 0.2% | 0% | 49.4% | 0% | 0% | 11 |
| 99.8% | 50.4% | 0.1% | 0% | 49.5% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 1.7s | 4130× | body | 1024 | valid |
| 442.0ms | 2062× | body | 512 | valid |
| 190.0ms | 403× | body | 2048 | valid |
| 165.0ms | 1661× | body | 256 | valid |
| 2.0ms | 14× | body | 256 | infinite |
| 2× | egg-herbie |
| 1318× | associate-/l* |
| 988× | distribute-lft-in |
| 978× | distribute-rgt-in |
| 836× | distribute-lft-neg-in |
| 810× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 21 | 25 |
| 2 | 35 | 25 |
| 3 | 60 | 25 |
| 4 | 117 | 25 |
| 5 | 268 | 25 |
| 6 | 745 | 25 |
| 7 | 2173 | 25 |
| 8 | 4843 | 25 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.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))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 1318× | associate-/l* |
| 988× | distribute-lft-in |
| 978× | distribute-rgt-in |
| 836× | distribute-lft-neg-in |
| 810× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 21 | 25 |
| 2 | 35 | 25 |
| 3 | 60 | 25 |
| 4 | 117 | 25 |
| 5 | 268 | 25 |
| 6 | 745 | 25 |
| 7 | 2173 | 25 |
| 8 | 4843 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.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))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2) |
Compiled 25 to 12 computations (52% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 1 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 2 | 4 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 9.1% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
Compiled 9 to 7 computations (22.2% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 92.2% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 24 to 8 computations (66.7% 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× | egg-rewrite-iter-limit |
| 1× | batch-egg-rewrite |
| 180× | add-sqr-sqrt |
| 172× | pow1 |
| 172× | *-un-lft-identity |
| 170× | add-exp-log |
| 168× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 170 | 11 |
| 2 | 2644 | 11 |
| 0 | 8 | 11 |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
((+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 1 (*.f64 2 (sinh.f64 x))) (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (*.f64 2 (sinh.f64 x)) (/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (pow.f64 (*.f64 2 (sinh.f64 x)) 1) (log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) (expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))) |
| 1× | egg-herbie |
| 898× | associate-*r/ |
| 804× | fma-def |
| 778× | *-commutative |
| 712× | associate-*r* |
| 658× | associate-*l/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 501 |
| 1 | 179 | 485 |
| 2 | 576 | 481 |
| 3 | 2145 | 353 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))) |
(-.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))) |
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 1 (*.f64 2 (sinh.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) |
(*.f64 2 (sinh.f64 x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(pow.f64 (*.f64 2 (sinh.f64 x)) 1) |
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) |
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 x x) |
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))) |
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) |
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2)) |
(+.f64 (*.f64 2 x) (+.f64 (*.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) (*.f64 1/60 (pow.f64 x 5)))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x))) |
(+.f64 (fma.f64 1/60 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) x)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))) |
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.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 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (*.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 2 (sinh.f64 x)) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(*.f64 1 (*.f64 2 (sinh.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(*.f64 2 (sinh.f64 x)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 -2) x)))) |
(pow.f64 (*.f64 2 (sinh.f64 x)) 1) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
Compiled 479 to 318 computations (33.6% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 2 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 31 | 3 | 34 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 9.1% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| ▶ | 98.2% | (/.f64 (+.f64 x x) 2) |
| ▶ | 100.0% | (/.f64 (*.f64 2 (sinh.f64 x)) 2) |
Compiled 22 to 17 computations (22.7% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sinh.f64 x) |
Compiled 15 to 9 computations (40% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sinh.f64 x) |
| 1.0ms | x | @ | -inf | (sinh.f64 x) |
| 0.0ms | x | @ | 0 | (sinh.f64 x) |
| 1× | batch-egg-rewrite |
| 1016× | associate-*r* |
| 846× | add-sqr-sqrt |
| 830× | *-un-lft-identity |
| 788× | pow1 |
| 774× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 5 |
| 1 | 83 | 5 |
| 2 | 1022 | 5 |
| 1× | node limit |
| Inputs |
|---|
(sinh.f64 x) |
| Outputs |
|---|
((-.f64 (+.f64 (sinh.f64 x) 1) 1) (-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 (sinh.f64 x) 1) (*.f64 1 (sinh.f64 x)) (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x))) (*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x))) (*.f64 (*.f64 (sinh.f64 x) 2) 1/2) (*.f64 1/2 (*.f64 (sinh.f64 x) 2)) (*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))) (/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2))) (/.f64 (*.f64 (sinh.f64 x) 2) 2) (/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2) (pow.f64 (sinh.f64 x) 1) (pow.f64 (sqrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (sinh.f64 x)) 3) (pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3) (sqrt.f64 (pow.f64 (sinh.f64 x) 2)) (log.f64 (exp.f64 (sinh.f64 x))) (cbrt.f64 (pow.f64 (sinh.f64 x) 3)) (expm1.f64 (log1p.f64 (sinh.f64 x))) (exp.f64 (log.f64 (sinh.f64 x))) (log1p.f64 (expm1.f64 (sinh.f64 x)))) |
| 1× | egg-herbie |
| 704× | associate-+l- |
| 606× | distribute-lft-neg-in |
| 590× | associate-*r/ |
| 544× | associate-+r- |
| 528× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 785 |
| 1 | 226 | 617 |
| 2 | 980 | 589 |
| 3 | 5174 | 589 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(-.f64 (+.f64 (sinh.f64 x) 1) 1) |
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2)) |
(*.f64 (sinh.f64 x) 1) |
(*.f64 1 (sinh.f64 x)) |
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x))) |
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x))) |
(*.f64 (*.f64 (sinh.f64 x) 2) 1/2) |
(*.f64 1/2 (*.f64 (sinh.f64 x) 2)) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))) |
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2))) |
(/.f64 (*.f64 (sinh.f64 x) 2) 2) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2) |
(pow.f64 (sinh.f64 x) 1) |
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2) |
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3) |
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (sinh.f64 x) 2)) |
(log.f64 (exp.f64 (sinh.f64 x))) |
(cbrt.f64 (pow.f64 (sinh.f64 x) 3)) |
(expm1.f64 (log1p.f64 (sinh.f64 x))) |
(exp.f64 (log.f64 (sinh.f64 x))) |
(log1p.f64 (expm1.f64 (sinh.f64 x))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(fma.f64 1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(-.f64 (+.f64 (sinh.f64 x) 1) 1) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2)) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (sinh.f64 x) 1) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 1 (sinh.f64 x)) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (*.f64 (sinh.f64 x) 2) 1/2) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 1/2 (*.f64 (sinh.f64 x) 2)) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(*.f64 (sqrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) |
(*.f64 (sqrt.f64 (sinh.f64 x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))) |
(*.f64 (sqrt.f64 (sinh.f64 x)) (*.f64 (fabs.f64 (cbrt.f64 (sinh.f64 x))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))) |
(*.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 x))) 3)) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(/.f64 (*.f64 (sinh.f64 x) 2) 2) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(pow.f64 (sinh.f64 x) 1) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(sqrt.f64 (pow.f64 (sinh.f64 x) 2)) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(log.f64 (exp.f64 (sinh.f64 x))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(cbrt.f64 (pow.f64 (sinh.f64 x) 3)) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(expm1.f64 (log1p.f64 (sinh.f64 x))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(exp.f64 (log.f64 (sinh.f64 x))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
(log1p.f64 (expm1.f64 (sinh.f64 x))) |
(+.f64 (sinh.f64 x) 0) |
(sinh.f64 x) |
Compiled 11 to 5 computations (54.5% saved)
Compiled 714 to 445 computations (37.7% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 0 | 52 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 52 | 3 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 9.1% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| ✓ | 98.2% | (/.f64 (+.f64 x x) 2) |
| ✓ | 100.0% | (/.f64 (*.f64 2 (sinh.f64 x)) 2) |
Compiled 22 to 17 computations (22.7% saved)
Total -59.1b remaining (-1513593.4%)
Threshold costs -59.1b (-1513593.4%)
| Inputs |
|---|
(/.f64 (+.f64 x x) 2) |
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| Outputs |
|---|
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
3 calls:
| 7.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| 3.0ms | x |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| 100.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 38 to 28 computations (26.3% saved)
| 1× | egg-herbie |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 11 | 30 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
(/.f64 (+.f64 x x) 2) |
| Outputs |
|---|
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
(/.f64 (+.f64 x x) 2) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 898× | associate-*r/ |
| 804× | fma-def |
| 778× | *-commutative |
| 712× | associate-*r* |
| 658× | associate-*l/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 501 |
| 1 | 179 | 485 |
| 2 | 576 | 481 |
| 3 | 2145 | 353 |
| 1× | node limit |
Compiled 104 to 58 computations (44.2% saved)
Compiled 12 to 9 computations (25% saved)
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