
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 | 8255× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | infinite |
| 2× | egg-herbie |
| 2556× | fma-def |
| 1482× | distribute-lft-out |
| 1118× | hypot-def |
| 988× | count-2 |
| 868× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 14 | 7 |
| 2 | 33 | 7 |
| 3 | 56 | 7 |
| 4 | 121 | 7 |
| 5 | 380 | 7 |
| 6 | 1381 | 7 |
| 7 | 2589 | 7 |
| 8 | 3932 | 7 |
| 9 | 4860 | 7 |
| 10 | 5626 | 7 |
| 11 | 6637 | 7 |
| 12 | 7494 | 7 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2))) |
(sqrt.f64 (*.f64 2 (*.f64 x x))) |
(hypot.f64 x x) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 2556× | fma-def |
| 1482× | distribute-lft-out |
| 1118× | hypot-def |
| 988× | count-2 |
| 868× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 14 | 7 |
| 2 | 33 | 7 |
| 3 | 56 | 7 |
| 4 | 121 | 7 |
| 5 | 380 | 7 |
| 6 | 1381 | 7 |
| 7 | 2589 | 7 |
| 8 | 3932 | 7 |
| 9 | 4860 | 7 |
| 10 | 5626 | 7 |
| 11 | 6637 | 7 |
| 12 | 7494 | 7 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2))) |
(sqrt.f64 (*.f64 2 (*.f64 x x))) |
(hypot.f64 x x) |
Compiled 18 to 12 computations (33.3% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 1 | 3 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 1 | 4 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (hypot.f64 x x) |
| ▶ | 100.0% | (hypot.f64 x x) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
Compiled 6 to 3 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (hypot.f64 x x) |
| 1.0ms | x | @ | inf | (hypot.f64 x x) |
| 1.0ms | x | @ | 0 | (hypot.f64 x x) |
| 1× | batch-egg-rewrite |
| 738× | pow1 |
| 704× | add-sqr-sqrt |
| 696× | *-un-lft-identity |
| 674× | add-exp-log |
| 674× | log1p-expm1-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 80 | 7 |
| 2 | 933 | 7 |
| 1× | node limit |
| Inputs |
|---|
(hypot.f64 x x) |
| Outputs |
|---|
(+.f64 0 (hypot.f64 x x)) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) |
(-.f64 (+.f64 1 (hypot.f64 x x)) 1) |
(*.f64 (hypot.f64 x x) 1) |
(*.f64 1 (hypot.f64 x x)) |
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x))) |
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2)) |
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2)) |
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) |
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x)) |
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) |
(*.f64 (pow.f64 2 1/2) x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) |
(pow.f64 (hypot.f64 x x) 1) |
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3) |
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3) |
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
(pow.f64 (*.f64 x (+.f64 x x)) 1/2) |
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x)))) |
(sqrt.f64 (*.f64 x (+.f64 x x))) |
(log.f64 (exp.f64 (hypot.f64 x x))) |
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3)) |
(expm1.f64 (log1p.f64 (hypot.f64 x x))) |
(exp.f64 (log.f64 (hypot.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 x x))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x x))) 1/2)) |
(log1p.f64 (expm1.f64 (hypot.f64 x x))) |
| 1× | egg-herbie |
| 924× | associate-*r* |
| 884× | log-prod |
| 766× | associate-*l* |
| 738× | associate-+r+ |
| 718× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 717 |
| 1 | 249 | 681 |
| 2 | 686 | 669 |
| 3 | 4006 | 669 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(+.f64 0 (hypot.f64 x x)) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) |
(-.f64 (+.f64 1 (hypot.f64 x x)) 1) |
(*.f64 (hypot.f64 x x) 1) |
(*.f64 1 (hypot.f64 x x)) |
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x))) |
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2)) |
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2)) |
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) |
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x)) |
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) |
(*.f64 (pow.f64 2 1/2) x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) |
(pow.f64 (hypot.f64 x x) 1) |
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3) |
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3) |
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
(pow.f64 (*.f64 x (+.f64 x x)) 1/2) |
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x)))) |
(sqrt.f64 (*.f64 x (+.f64 x x))) |
(log.f64 (exp.f64 (hypot.f64 x x))) |
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3)) |
(expm1.f64 (log1p.f64 (hypot.f64 x x))) |
(exp.f64 (log.f64 (hypot.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 x x))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x x))) 1/2)) |
(log1p.f64 (expm1.f64 (hypot.f64 x x))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 x (sqrt.f64 2))) |
(*.f64 x (neg.f64 (sqrt.f64 2))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 x (sqrt.f64 2))) |
(*.f64 x (neg.f64 (sqrt.f64 2))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 x (sqrt.f64 2))) |
(*.f64 x (neg.f64 (sqrt.f64 2))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 x (sqrt.f64 2))) |
(*.f64 x (neg.f64 (sqrt.f64 2))) |
(+.f64 0 (hypot.f64 x x)) |
(hypot.f64 x x) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x))))) |
(hypot.f64 x x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) |
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3) |
(-.f64 (+.f64 1 (hypot.f64 x x)) 1) |
(hypot.f64 x x) |
(*.f64 (hypot.f64 x x) 1) |
(hypot.f64 x x) |
(*.f64 1 (hypot.f64 x x)) |
(hypot.f64 x x) |
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) |
(hypot.f64 x x) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x))) |
(hypot.f64 x x) |
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x))) |
(hypot.f64 x x) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2)) |
(hypot.f64 x x) |
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2)) |
(hypot.f64 x x) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 8))) |
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x)) |
(hypot.f64 x x) |
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x)) |
(hypot.f64 x x) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)) |
(hypot.f64 x x) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 8))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) |
(hypot.f64 x x) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) |
(hypot.f64 x x) |
(*.f64 (pow.f64 2 1/2) x) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) |
(hypot.f64 x x) |
(pow.f64 (hypot.f64 x x) 1) |
(hypot.f64 x x) |
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3) |
(hypot.f64 x x) |
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3) |
(hypot.f64 x x) |
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
(hypot.f64 x x) |
(pow.f64 (*.f64 x (+.f64 x x)) 1/2) |
(hypot.f64 x x) |
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x))) |
(hypot.f64 x x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x)))) |
(sqrt.f64 (*.f64 x (+.f64 x x))) |
(hypot.f64 x x) |
(log.f64 (exp.f64 (hypot.f64 x x))) |
(hypot.f64 x x) |
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3)) |
(hypot.f64 x x) |
(expm1.f64 (log1p.f64 (hypot.f64 x x))) |
(hypot.f64 x x) |
(exp.f64 (log.f64 (hypot.f64 x x))) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 x x))) 1/3)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x x))) 1/2)) |
(hypot.f64 x x) |
(log1p.f64 (expm1.f64 (hypot.f64 x x))) |
(hypot.f64 x x) |
Compiled 507 to 205 computations (59.6% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 3 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 52 | 4 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ▶ | 42.0% | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| ▶ | 43.2% | (*.f64 (sqrt.f64 2) x) |
| ▶ | 58.4% | (*.f64 x (neg.f64 (sqrt.f64 2))) |
| ✓ | 100.0% | (hypot.f64 x x) |
| ▶ | 42.0% | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| ▶ | 43.2% | (*.f64 (sqrt.f64 2) x) |
| ▶ | 58.4% | (*.f64 x (neg.f64 (sqrt.f64 2))) |
Compiled 46 to 32 computations (30.4% saved)
Found 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| ✓ | 99.6% | (sqrt.f64 (+.f64 x x)) |
| ✓ | 99.8% | (*.f64 (sqrt.f64 2) x) |
| ✓ | 99.8% | (*.f64 x (neg.f64 (sqrt.f64 2))) |
Compiled 39 to 22 computations (43.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (+.f64 x x)) |
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| 1.0ms | x | @ | 0 | (*.f64 x (neg.f64 (sqrt.f64 2))) |
| 1.0ms | x | @ | inf | (*.f64 x (neg.f64 (sqrt.f64 2))) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (+.f64 x x)) |
| 1× | batch-egg-rewrite |
| 266× | add-sqr-sqrt |
| 254× | pow1 |
| 252× | *-un-lft-identity |
| 244× | add-exp-log |
| 244× | log1p-expm1-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 60 |
| 1 | 271 | 60 |
| 2 | 3545 | 60 |
| 1× | unsound |
| Inputs |
|---|
(*.f64 x (neg.f64 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) x) |
(sqrt.f64 (+.f64 x x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| Outputs |
|---|
(+.f64 x x) |
(+.f64 (+.f64 x x) (+.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 0 (+.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
(/.f64 1 (+.f64 x x)) |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 0 0) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
(pow.f64 (+.f64 x x) 2) |
(pow.f64 (+.f64 x x) 1) |
(pow.f64 (+.f64 x x) 1/2) |
(pow.f64 (+.f64 x x) 3) |
(pow.f64 (+.f64 x x) 1/4) |
(pow.f64 (+.f64 x x) 3/2) |
(pow.f64 (+.f64 x x) 1/3) |
(neg.f64 (+.f64 x x)) |
(sqrt.f64 (+.f64 x x)) |
(fabs.f64 (+.f64 x x)) |
(log.f64 (exp.f64 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
(cbrt.f64 (+.f64 x x)) |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(+.f64 x x) |
(+.f64 (+.f64 x x) (+.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 0 (+.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
(/.f64 1 (+.f64 x x)) |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 0 0) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
(pow.f64 (+.f64 x x) 2) |
(pow.f64 (+.f64 x x) 1) |
(pow.f64 (+.f64 x x) 1/2) |
(pow.f64 (+.f64 x x) 3) |
(pow.f64 (+.f64 x x) 1/4) |
(pow.f64 (+.f64 x x) 3/2) |
(pow.f64 (+.f64 x x) 1/3) |
(neg.f64 (+.f64 x x)) |
(sqrt.f64 (+.f64 x x)) |
(fabs.f64 (+.f64 x x)) |
(log.f64 (exp.f64 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
(cbrt.f64 (+.f64 x x)) |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(+.f64 x x) |
(+.f64 (+.f64 x x) (+.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 0 (+.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
(*.f64 x 2) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 x (+.f64 x x)) |
(*.f64 2 x) |
(*.f64 2 (+.f64 x x)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) (+.f64 x x)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 (+.f64 x x) x) |
(*.f64 (+.f64 x x) (sqrt.f64 2)) |
(*.f64 (+.f64 x x) (+.f64 x x)) |
(*.f64 (+.f64 x x) (sqrt.f64 x)) |
(*.f64 (+.f64 x x) 1) |
(*.f64 (+.f64 x x) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (+.f64 x x) (pow.f64 x 1/4)) |
(*.f64 (sqrt.f64 x) (+.f64 x x)) |
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4)) |
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 2))) |
(*.f64 1 (+.f64 x x)) |
(*.f64 (cbrt.f64 2) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) x)) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x)) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (+.f64 x x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 2))) |
(*.f64 4 (*.f64 x x)) |
(*.f64 (*.f64 x x) 2) |
(*.f64 (pow.f64 x 1/4) (+.f64 x x)) |
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) |
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x)) |
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0))) |
(*.f64 0 (/.f64 1 0)) |
(*.f64 -1 (+.f64 x x)) |
(*.f64 (neg.f64 x) (sqrt.f64 2)) |
(*.f64 (pow.f64 1 1/2) (+.f64 x x)) |
(*.f64 (*.f64 x -1) (sqrt.f64 2)) |
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (+.f64 x x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (+.f64 x x) 2) x) |
(*.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 x x)) |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 0 0) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
(pow.f64 (+.f64 x x) 2) |
(pow.f64 (+.f64 x x) 1) |
(pow.f64 (+.f64 x x) 1/2) |
(pow.f64 (+.f64 x x) 3) |
(pow.f64 (+.f64 x x) 1/4) |
(pow.f64 (+.f64 x x) 3/2) |
(pow.f64 (+.f64 x x) 1/3) |
(neg.f64 (+.f64 x x)) |
(fabs.f64 (+.f64 x x)) |
(log.f64 (exp.f64 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
(cbrt.f64 (+.f64 x x)) |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(+.f64 x x) |
(+.f64 (+.f64 x x) (+.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 0 (+.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
(/.f64 1 (+.f64 x x)) |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 0 0) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
(pow.f64 (+.f64 x x) 2) |
(pow.f64 (+.f64 x x) 1) |
(pow.f64 (+.f64 x x) 1/2) |
(pow.f64 (+.f64 x x) 3) |
(pow.f64 (+.f64 x x) 1/4) |
(pow.f64 (+.f64 x x) 3/2) |
(pow.f64 (+.f64 x x) 1/3) |
(neg.f64 (+.f64 x x)) |
(sqrt.f64 (+.f64 x x)) |
(fabs.f64 (+.f64 x x)) |
(log.f64 (exp.f64 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
(cbrt.f64 (+.f64 x x)) |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
| 1× | egg-herbie |
| 102× | *-commutative |
| 30× | distribute-lft-in |
| 28× | associate-*r* |
| 28× | associate-*l* |
| 26× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 2427 |
| 1 | 465 | 2427 |
| 1× | unsound |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x))) |
(+.f64 x x) |
(+.f64 (+.f64 x x) (+.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 0 (+.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
(/.f64 1 (+.f64 x x)) |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 0 0) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
(pow.f64 (+.f64 x x) 2) |
(pow.f64 (+.f64 x x) 1) |
(pow.f64 (+.f64 x x) 1/2) |
(pow.f64 (+.f64 x x) 3) |
(pow.f64 (+.f64 x x) 1/4) |
(pow.f64 (+.f64 x x) 3/2) |
(pow.f64 (+.f64 x x) 1/3) |
(neg.f64 (+.f64 x x)) |
(sqrt.f64 (+.f64 x x)) |
(fabs.f64 (+.f64 x x)) |
(log.f64 (exp.f64 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
(cbrt.f64 (+.f64 x x)) |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(+.f64 x x) |
(+.f64 (+.f64 x x) (+.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 0 (+.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
(/.f64 1 (+.f64 x x)) |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 0 0) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
(pow.f64 (+.f64 x x) 2) |
(pow.f64 (+.f64 x x) 1) |
(pow.f64 (+.f64 x x) 1/2) |
(pow.f64 (+.f64 x x) 3) |
(pow.f64 (+.f64 x x) 1/4) |
(pow.f64 (+.f64 x x) 3/2) |
(pow.f64 (+.f64 x x) 1/3) |
(neg.f64 (+.f64 x x)) |
(sqrt.f64 (+.f64 x x)) |
(fabs.f64 (+.f64 x x)) |
(log.f64 (exp.f64 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
(cbrt.f64 (+.f64 x x)) |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(+.f64 x x) |
(+.f64 (+.f64 x x) (+.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 0 (+.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
(*.f64 x 2) |
(*.f64 x (sqrt.f64 2)) |
(*.f64 x (+.f64 x x)) |
(*.f64 2 x) |
(*.f64 2 (+.f64 x x)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) (+.f64 x x)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 (+.f64 x x) x) |
(*.f64 (+.f64 x x) (sqrt.f64 2)) |
(*.f64 (+.f64 x x) (+.f64 x x)) |
(*.f64 (+.f64 x x) (sqrt.f64 x)) |
(*.f64 (+.f64 x x) 1) |
(*.f64 (+.f64 x x) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (+.f64 x x) (pow.f64 x 1/4)) |
(*.f64 (sqrt.f64 x) (+.f64 x x)) |
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4)) |
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 2))) |
(*.f64 1 (+.f64 x x)) |
(*.f64 (cbrt.f64 2) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) x)) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x)) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (+.f64 x x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 2))) |
(*.f64 4 (*.f64 x x)) |
(*.f64 (*.f64 x x) 2) |
(*.f64 (pow.f64 x 1/4) (+.f64 x x)) |
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) |
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x)) |
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0))) |
(*.f64 0 (/.f64 1 0)) |
(*.f64 -1 (+.f64 x x)) |
(*.f64 (neg.f64 x) (sqrt.f64 2)) |
(*.f64 (pow.f64 1 1/2) (+.f64 x x)) |
(*.f64 (*.f64 x -1) (sqrt.f64 2)) |
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (+.f64 x x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (+.f64 x x) 2) x) |
(*.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 x x)) |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 0 0) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
(pow.f64 (+.f64 x x) 2) |
(pow.f64 (+.f64 x x) 1) |
(pow.f64 (+.f64 x x) 1/2) |
(pow.f64 (+.f64 x x) 3) |
(pow.f64 (+.f64 x x) 1/4) |
(pow.f64 (+.f64 x x) 3/2) |
(pow.f64 (+.f64 x x) 1/3) |
(neg.f64 (+.f64 x x)) |
(fabs.f64 (+.f64 x x)) |
(log.f64 (exp.f64 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
(cbrt.f64 (+.f64 x x)) |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(+.f64 x x) |
(+.f64 (+.f64 x x) (+.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 0 (+.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
(/.f64 1 (+.f64 x x)) |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 0 0) |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
(pow.f64 (+.f64 x x) 2) |
(pow.f64 (+.f64 x x) 1) |
(pow.f64 (+.f64 x x) 1/2) |
(pow.f64 (+.f64 x x) 3) |
(pow.f64 (+.f64 x x) 1/4) |
(pow.f64 (+.f64 x x) 3/2) |
(pow.f64 (+.f64 x x) 1/3) |
(neg.f64 (+.f64 x x)) |
(sqrt.f64 (+.f64 x x)) |
(fabs.f64 (+.f64 x x)) |
(log.f64 (exp.f64 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
(cbrt.f64 (+.f64 x x)) |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x)) |
(+.f64 x x) |
0 |
(+.f64 (+.f64 x x) (+.f64 x x)) |
0 |
(+.f64 (*.f64 x x) (*.f64 x x)) |
0 |
(-.f64 0 (+.f64 x x)) |
-1 |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
0 |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
0 |
(/.f64 1 (+.f64 x x)) |
0 |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
0 |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 2 (/.f64 (fma.f64 x x 0) (pow.f64 x 3))) |
(/.f64 0 0) |
0 |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (*.f64 4 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
0 |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
0 |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
0 |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 -2 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
0 |
(pow.f64 (+.f64 x x) 2) |
0 |
(pow.f64 (+.f64 x x) 1) |
0 |
(pow.f64 (+.f64 x x) 1/2) |
0 |
(pow.f64 (+.f64 x x) 3) |
0 |
(pow.f64 (+.f64 x x) 1/4) |
0 |
(pow.f64 (+.f64 x x) 3/2) |
0 |
(pow.f64 (+.f64 x x) 1/3) |
0 |
(neg.f64 (+.f64 x x)) |
-1 |
(sqrt.f64 (+.f64 x x)) |
0 |
(fabs.f64 (+.f64 x x)) |
0 |
(log.f64 (exp.f64 (+.f64 x x))) |
0 |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
0 |
(cbrt.f64 (+.f64 x x)) |
0 |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
0 |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
0 |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
0 |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
0 |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
0 |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(*.f64 (exp.f64 (log.f64 x)) 0) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
0 |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(+.f64 0 x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(fma.f64 0 (cbrt.f64 x) x) |
(+.f64 x x) |
0 |
(+.f64 (+.f64 x x) (+.f64 x x)) |
0 |
(+.f64 (*.f64 x x) (*.f64 x x)) |
0 |
(-.f64 0 (+.f64 x x)) |
-1 |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
0 |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
0 |
(/.f64 1 (+.f64 x x)) |
0 |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
0 |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 2 (/.f64 (fma.f64 x x 0) (pow.f64 x 3))) |
(/.f64 0 0) |
0 |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (*.f64 4 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
0 |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
0 |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
0 |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 -2 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
0 |
(pow.f64 (+.f64 x x) 2) |
0 |
(pow.f64 (+.f64 x x) 1) |
0 |
(pow.f64 (+.f64 x x) 1/2) |
0 |
(pow.f64 (+.f64 x x) 3) |
0 |
(pow.f64 (+.f64 x x) 1/4) |
0 |
(pow.f64 (+.f64 x x) 3/2) |
0 |
(pow.f64 (+.f64 x x) 1/3) |
0 |
(neg.f64 (+.f64 x x)) |
-1 |
(sqrt.f64 (+.f64 x x)) |
0 |
(fabs.f64 (+.f64 x x)) |
0 |
(log.f64 (exp.f64 (+.f64 x x))) |
0 |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
0 |
(cbrt.f64 (+.f64 x x)) |
0 |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
0 |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
0 |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
0 |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
0 |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
0 |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(*.f64 (exp.f64 (log.f64 x)) 0) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
0 |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(+.f64 0 x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(fma.f64 0 (cbrt.f64 x) x) |
(+.f64 x x) |
0 |
(+.f64 (+.f64 x x) (+.f64 x x)) |
0 |
(+.f64 (*.f64 x x) (*.f64 x x)) |
0 |
(-.f64 0 (+.f64 x x)) |
-1 |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
0 |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
0 |
(*.f64 x 2) |
0 |
(*.f64 x (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (+.f64 x x)) |
0 |
(*.f64 2 x) |
0 |
(*.f64 2 (+.f64 x x)) |
0 |
(*.f64 2 (*.f64 x x)) |
0 |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) (+.f64 x x)) |
(*.f64 (sqrt.f64 2) 0) |
(*.f64 (sqrt.f64 2) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (+.f64 x x) x) |
0 |
(*.f64 (+.f64 x x) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) 0) |
(*.f64 (+.f64 x x) (+.f64 x x)) |
0 |
(*.f64 (+.f64 x x) (sqrt.f64 x)) |
(*.f64 0 (sqrt.f64 x)) |
(*.f64 (+.f64 x x) 1) |
0 |
(*.f64 (+.f64 x x) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 0 (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (+.f64 x x) (pow.f64 x 1/4)) |
(*.f64 0 (pow.f64 x 1/4)) |
(*.f64 (sqrt.f64 x) (+.f64 x x)) |
(*.f64 0 (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4)) |
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 2))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 2)) |
(*.f64 1 (+.f64 x x)) |
0 |
(*.f64 (cbrt.f64 2) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 2)) |
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) x)) |
(*.f64 (cbrt.f64 2) (*.f64 x (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x)) |
(*.f64 0 (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (cbrt.f64 x) (+.f64 x x)) |
(*.f64 0 (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 0 (cbrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x)) |
0 |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x))) |
(*.f64 0 (cbrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 2))) |
(*.f64 0 (*.f64 (sqrt.f64 2) (cbrt.f64 x))) |
(*.f64 4 (*.f64 x x)) |
(*.f64 (*.f64 x x) 4) |
(*.f64 (*.f64 x x) 2) |
0 |
(*.f64 (pow.f64 x 1/4) (+.f64 x x)) |
(*.f64 0 (pow.f64 x 1/4)) |
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x)) |
(*.f64 x (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))) |
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0))) |
0 |
(*.f64 0 (/.f64 1 0)) |
0 |
(*.f64 -1 (+.f64 x x)) |
-1 |
(*.f64 (neg.f64 x) (sqrt.f64 2)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (pow.f64 1 1/2) (+.f64 x x)) |
0 |
(*.f64 (*.f64 x -1) (sqrt.f64 2)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (sqrt.f64 2) (*.f64 0 (cbrt.f64 x))) |
(*.f64 (*.f64 (+.f64 x x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 0 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 (+.f64 x x) 2) x) |
0 |
(*.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) |
(*.f64 x (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))) |
(*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
(*.f64 x (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))) |
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 0 (cbrt.f64 x)) |
(/.f64 1 (+.f64 x x)) |
0 |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
0 |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 2 (/.f64 (fma.f64 x x 0) (pow.f64 x 3))) |
(/.f64 0 0) |
0 |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (*.f64 4 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
0 |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
0 |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
0 |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 -2 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
0 |
(pow.f64 (+.f64 x x) 2) |
0 |
(pow.f64 (+.f64 x x) 1) |
0 |
(pow.f64 (+.f64 x x) 1/2) |
0 |
(pow.f64 (+.f64 x x) 3) |
0 |
(pow.f64 (+.f64 x x) 1/4) |
0 |
(pow.f64 (+.f64 x x) 3/2) |
0 |
(pow.f64 (+.f64 x x) 1/3) |
0 |
(neg.f64 (+.f64 x x)) |
-1 |
(fabs.f64 (+.f64 x x)) |
0 |
(log.f64 (exp.f64 (+.f64 x x))) |
0 |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
0 |
(cbrt.f64 (+.f64 x x)) |
0 |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
0 |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
0 |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
0 |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
0 |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
0 |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(*.f64 (exp.f64 (log.f64 x)) 0) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
0 |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(+.f64 0 x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(fma.f64 0 (cbrt.f64 x) x) |
(+.f64 x x) |
0 |
(+.f64 (+.f64 x x) (+.f64 x x)) |
0 |
(+.f64 (*.f64 x x) (*.f64 x x)) |
0 |
(-.f64 0 (+.f64 x x)) |
-1 |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1) |
0 |
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) |
0 |
(/.f64 1 (+.f64 x x)) |
0 |
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) |
0 |
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) |
(/.f64 2 (/.f64 (fma.f64 x x 0) (pow.f64 x 3))) |
(/.f64 0 0) |
0 |
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (*.f64 4 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) |
(/.f64 (sqrt.f64 0) (sqrt.f64 0)) |
0 |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) |
0 |
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) |
0 |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 -2 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 0))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) |
0 |
(/.f64 (*.f64 0 (+.f64 x x)) 0) |
0 |
(pow.f64 (+.f64 x x) 2) |
0 |
(pow.f64 (+.f64 x x) 1) |
0 |
(pow.f64 (+.f64 x x) 1/2) |
0 |
(pow.f64 (+.f64 x x) 3) |
0 |
(pow.f64 (+.f64 x x) 1/4) |
0 |
(pow.f64 (+.f64 x x) 3/2) |
0 |
(pow.f64 (+.f64 x x) 1/3) |
0 |
(neg.f64 (+.f64 x x)) |
-1 |
(sqrt.f64 (+.f64 x x)) |
0 |
(fabs.f64 (+.f64 x x)) |
0 |
(log.f64 (exp.f64 (+.f64 x x))) |
0 |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) |
0 |
(cbrt.f64 (+.f64 x x)) |
0 |
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x))) |
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x))) |
0 |
(expm1.f64 (log1p.f64 (+.f64 x x))) |
0 |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (log.f64 (+.f64 x x))) |
0 |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2)) |
0 |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1)) |
0 |
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x)))) |
(*.f64 (exp.f64 (log.f64 x)) 0) |
(log1p.f64 (expm1.f64 (+.f64 x x))) |
0 |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 1 x x) |
(+.f64 0 x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) |
(fma.f64 0 (cbrt.f64 x) x) |
Compiled 1088 to 577 computations (47% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 124 | 4 | 128 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 124 | 8 | 132 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ▶ | 10.1% | (+.f64 x x) |
| ▶ | 9.8% | (+.f64 0 x) |
| ✓ | 42.0% | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| ✓ | 43.2% | (*.f64 (sqrt.f64 2) x) |
| ✓ | 58.4% | (*.f64 x (neg.f64 (sqrt.f64 2))) |
| ▶ | 12.7% | (neg.f64 (+.f64 x x)) |
| 3.8% | 0 | |
| ✓ | 100.0% | (hypot.f64 x x) |
| ▶ | 10.1% | (+.f64 x x) |
| ▶ | 9.8% | (+.f64 0 x) |
| ✓ | 42.0% | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| ✓ | 43.2% | (*.f64 (sqrt.f64 2) x) |
| ✓ | 58.4% | (*.f64 x (neg.f64 (sqrt.f64 2))) |
| ▶ | 12.7% | (neg.f64 (+.f64 x x)) |
| 3.8% | 0 |
Compiled 76 to 52 computations (31.6% saved)
Compiled 19 to 7 computations (63.2% saved)
Compiled 1 to 1 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 0 | 8 | 8 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ✓ | 10.1% | (+.f64 x x) |
| ✓ | 9.8% | (+.f64 0 x) |
| ✓ | 42.0% | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| ✓ | 43.2% | (*.f64 (sqrt.f64 2) x) |
| ✓ | 58.4% | (*.f64 x (neg.f64 (sqrt.f64 2))) |
| ✓ | 12.7% | (neg.f64 (+.f64 x x)) |
| 3.8% | 0 | |
| ✓ | 100.0% | (hypot.f64 x x) |
| ✓ | 10.1% | (+.f64 x x) |
| ✓ | 9.8% | (+.f64 0 x) |
| ✓ | 42.0% | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| ✓ | 43.2% | (*.f64 (sqrt.f64 2) x) |
| ✓ | 58.4% | (*.f64 x (neg.f64 (sqrt.f64 2))) |
| ✓ | 12.7% | (neg.f64 (+.f64 x x)) |
| 3.8% | 0 |
Compiled 76 to 52 computations (31.6% saved)
Compiled 1 to 1 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 7 | 7 |
| Total | 0 | 8 | 8 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ✓ | 10.1% | (+.f64 x x) |
| ✓ | 9.8% | (+.f64 0 x) |
| ✓ | 42.0% | (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
| ✓ | 43.2% | (*.f64 (sqrt.f64 2) x) |
| ✓ | 58.4% | (*.f64 x (neg.f64 (sqrt.f64 2))) |
| ✓ | 12.7% | (neg.f64 (+.f64 x x)) |
| 3.8% | 0 |
Compiled 77 to 49 computations (36.4% saved)
| Inputs |
|---|
0 |
(+.f64 0 x) |
(+.f64 x x) |
(neg.f64 (+.f64 x x)) |
(hypot.f64 x x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 x (neg.f64 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) |
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2))) |
| Outputs |
|---|
(hypot.f64 x x) |
4 calls:
| 7.0ms | (+.f64 (pow.f64 x 2) (pow.f64 x 2)) |
| 5.0ms | x |
| 4.0ms | (sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2))) |
| 4.0ms | (pow.f64 x 2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2))) |
| 100.0% | 1 | (+.f64 (pow.f64 x 2) (pow.f64 x 2)) |
| 100.0% | 1 | (pow.f64 x 2) |
Compiled 62 to 40 computations (35.5% saved)
| Inputs |
|---|
0 |
(+.f64 0 x) |
(+.f64 x x) |
(neg.f64 (+.f64 x x)) |
| Outputs |
|---|
(neg.f64 (+.f64 x x)) |
(+.f64 x x) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.6% | 2 | x |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
0 |
(+.f64 0 x) |
(+.f64 x x) |
| Outputs |
|---|
(+.f64 x x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.1% | 1 | x |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
0 |
(+.f64 0 x) |
| Outputs |
|---|
(+.f64 0 x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.8% | 1 | x |
Compiled 7 to 5 computations (28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.8% | 1 | x |
Compiled 4 to 3 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -1.66748354515332e-306 | 1.129535237172477e-306 |
| 13.0ms | 128× | body | 256 | valid |
Compiled 101 to 66 computations (34.7% saved)
| 1× | egg-herbie |
| 8× | distribute-neg-in |
| 6× | unsub-neg |
| 6× | sub-neg |
| 6× | neg-mul-1 |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 21 | 43 |
| 2 | 29 | 43 |
| 3 | 36 | 43 |
| 4 | 40 | 43 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(hypot.f64 x x) |
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 (+.f64 x x)) (+.f64 x x)) |
(+.f64 x x) |
(+.f64 0 x) |
0 |
| Outputs |
|---|
(hypot.f64 x x) |
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 (+.f64 x x)) (+.f64 x x)) |
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (neg.f64 x) x) (+.f64 x x)) |
(+.f64 x x) |
(+.f64 0 x) |
x |
0 |
Compiled 24 to 14 computations (41.7% saved)
| 2556× | fma-def |
| 1482× | distribute-lft-out |
| 1118× | hypot-def |
| 988× | count-2 |
| 924× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 14 | 7 |
| 2 | 33 | 7 |
| 3 | 56 | 7 |
| 4 | 121 | 7 |
| 5 | 380 | 7 |
| 6 | 1381 | 7 |
| 7 | 2589 | 7 |
| 8 | 3932 | 7 |
| 9 | 4860 | 7 |
| 10 | 5626 | 7 |
| 11 | 6637 | 7 |
| 12 | 7494 | 7 |
| 0 | 116 | 717 |
| 1 | 249 | 681 |
| 2 | 686 | 669 |
| 3 | 4006 | 669 |
| 0 | 13 | 60 |
| 1 | 271 | 60 |
| 2 | 3545 | 60 |
| 0 | 189 | 2427 |
| 1 | 465 | 2427 |
| 0 | 13 | 60 |
| 1 | 271 | 60 |
| 2 | 3545 | 60 |
| 0 | 189 | 2427 |
| 1 | 465 | 2427 |
| 0 | 13 | 60 |
| 1 | 271 | 60 |
| 2 | 3545 | 60 |
| 1× | unsound |
| 1× | unsound |
| 1× | unsound |
| 1× | unsound |
| 1× | unsound |
| 1× | node limit |
| 1× | node limit |
Compiled 63 to 44 computations (30.2% saved)
Compiled 58 to 32 computations (44.8% saved)
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