Time bar (total: 1.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
| 99.9% | 0% | 0% | 13 |
| 99.9% | 0% | 0.1% | 14 |
Compiled 10 to 8 computations (20% saved)
| 1.1s | 8256× | body | 128 | valid |
Compiled 20 to 16 computations (20% saved)
| 2× | egg-herbie |
| 756× | fma-def_binary64 |
| 559× | hypot-def_binary64 |
| 544× | distribute-rgt-out_binary64 |
| 436× | associate-*l*_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 12 | 4 |
| 2 | 30 | 4 |
| 3 | 53 | 4 |
| 4 | 121 | 4 |
| 5 | 361 | 4 |
| 6 | 1334 | 4 |
| 7 | 2593 | 4 |
| 8 | 3960 | 4 |
| 9 | 4922 | 4 |
| 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 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 756× | fma-def_binary64 |
| 559× | hypot-def_binary64 |
| 544× | distribute-rgt-out_binary64 |
| 436× | associate-*l*_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 12 | 4 |
| 2 | 30 | 4 |
| 3 | 53 | 4 |
| 4 | 121 | 4 |
| 5 | 361 | 4 |
| 6 | 1334 | 4 |
| 7 | 2593 | 4 |
| 8 | 3960 | 4 |
| 9 | 4922 | 4 |
| 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) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (hypot.f64 x x) |
Compiled 20 to 12 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (hypot.f64 x x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (hypot.f64 x x) |
| 1.0ms | x | @ | 0 | (hypot.f64 x x) |
| 1.0ms | x | @ | inf | (hypot.f64 x x) |
| 1× | batch-egg-rewrite |
| 271× | pow1_binary64 |
| 260× | add-sqr-sqrt_binary64 |
| 255× | *-un-lft-identity_binary64 |
| 249× | add-log-exp_binary64 |
| 249× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 4 |
| 1 | 60 | 4 |
| 2 | 695 | 4 |
| 1× | node limit |
| Inputs |
|---|
(hypot.f64 x x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) (cbrt.f64 (exp.f64 (hypot.f64 x x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x))))))) |
| 1× | egg-herbie |
| 38× | fma-def_binary64 |
| 9× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 80 |
| 1 | 12 | 80 |
| 2 | 25 | 80 |
| 3 | 29 | 80 |
| 4 | 33 | 80 |
| 5 | 51 | 80 |
| 6 | 73 | 80 |
| 7 | 84 | 80 |
| 8 | 96 | 80 |
| 9 | 121 | 80 |
| 1× | saturated |
| 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)) |
| Outputs |
|---|
(*.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)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 17 | 6 | 23 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 17 | 7 | 24 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (hypot.f64 x x) |
| 43.7b | (cbrt.f64 (pow.f64 (hypot.f64 x x) 3)) | |
| 32.5b | (*.f64 (sqrt.f64 2) x) | |
| ▶ | 0.5b | (pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
| 44.9b | (pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3) | |
| 1.4b | (*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) | |
| 30.5b | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
Compiled 258 to 133 computations (48.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (hypot.f64 x x) | |
| ✓ | 0.2b | (sqrt.f64 (hypot.f64 x x)) |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (hypot.f64 x x)) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (hypot.f64 x x)) |
| 1× | batch-egg-rewrite |
| 416× | pow1_binary64 |
| 386× | add-log-exp_binary64 |
| 386× | log1p-expm1-u_binary64 |
| 386× | expm1-log1p-u_binary64 |
| 376× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 125 | 10 |
| 2 | 1126 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
(sqrt.f64 (hypot.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 3 | 61 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 60 | 8 | 68 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (hypot.f64 x x) |
| 32.5b | (*.f64 (sqrt.f64 2) x) | |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
| 20.6b | (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2)) 2) | |
| 0.9b | (*.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) | |
| ▶ | 0.6b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))) |
| 1.4b | (*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) | |
| 30.5b | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
Compiled 722 to 359 computations (50.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (hypot.f64 x x) | |
| 0.2b | (sqrt.f64 (hypot.f64 x x)) | |
| ✓ | 0.3b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))) |
| ✓ | 0.4b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | 0 | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))) |
| 11.0ms | x | @ | inf | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))) |
| 7.0ms | x | @ | -inf | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))) |
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 570× | pow1_binary64 |
| 532× | add-log-exp_binary64 |
| 532× | log1p-expm1-u_binary64 |
| 532× | expm1-log1p-u_binary64 |
| 79× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 1 | 168 | 11 |
| 2 | 1883 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))) |
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x x) 3/4) (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x))))))) |
| 1× | egg-herbie |
| 641× | fma-def_binary64 |
| 219× | exp-sum_binary64 |
| 192× | distribute-rgt-in_binary64 |
| 186× | associate-+r+_binary64 |
| 177× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 328 |
| 1 | 78 | 308 |
| 2 | 187 | 272 |
| 3 | 494 | 236 |
| 4 | 1500 | 200 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 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 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
| Outputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4)) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 3/4)) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4)) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 3/4)) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4)) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 3/4)) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4)) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 3/4)) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4)) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 3/4)) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4)) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 3/4)) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4)) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 3/4)) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (sqrt.f64 2))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (*.f64 (sqrt.f64 2) 2) 1/4)) |
(*.f64 (pow.f64 x 3/4) (pow.f64 (sqrt.f64 2) 3/4)) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (*.f64 3 (log.f64 (sqrt.f64 2))) (*.f64 -3 (log.f64 (/.f64 -1 x))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4)) |
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (*.f64 3 (log.f64 (sqrt.f64 2))) (*.f64 -3 (log.f64 (/.f64 -1 x))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4)) |
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (*.f64 3 (log.f64 (sqrt.f64 2))) (*.f64 -3 (log.f64 (/.f64 -1 x))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4)) |
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4) |
(exp.f64 (*.f64 1/4 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(pow.f64 (exp.f64 1/4) (+.f64 (*.f64 3 (log.f64 (sqrt.f64 2))) (*.f64 -3 (log.f64 (/.f64 -1 x))))) |
(pow.f64 (exp.f64 1/4) (*.f64 3 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4)) |
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4) |
(*.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))) |
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 123 | 4 | 127 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 125 | 10 | 135 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) | |
| 30.5b | (*.f64 (sqrt.f64 2) (neg.f64 x)) | |
| ✓ | 0.1b | (hypot.f64 x x) |
| 32.5b | (*.f64 (sqrt.f64 2) x) | |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) |
| 36.8b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3))) | |
| ▶ | 0.7b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2)) |
| 0.8b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3)) | |
| 0.9b | (*.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) | |
| ✓ | 0.6b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))) |
Compiled 2384 to 1126 computations (52.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) |
| ✓ | 0.2b | (pow.f64 (hypot.f64 x x) 3/4) |
| ✓ | 0.3b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2)) |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | (pow.f64 (hypot.f64 x x) 3/4) |
| 7.0ms | x | @ | inf | (pow.f64 (hypot.f64 x x) 3/4) |
| 7.0ms | x | @ | -inf | (pow.f64 (hypot.f64 x x) 3/4) |
| 1.0ms | x | @ | inf | (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2) |
| 1× | batch-egg-rewrite |
| 774× | pow1_binary64 |
| 726× | log1p-expm1-u_binary64 |
| 726× | expm1-log1p-u_binary64 |
| 98× | add-sqr-sqrt_binary64 |
| 97× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 1 | 237 | 25 |
| 2 | 2287 | 25 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2) |
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 2)) |
(pow.f64 (hypot.f64 x x) 3/4) |
(sqrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/8)) (pow.f64 (hypot.f64 x x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/16) (*.f64 (pow.f64 (hypot.f64 x x) 3/16) (pow.f64 (hypot.f64 x x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 3/16)) (pow.f64 (hypot.f64 x x) 3/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/4) (pow.f64 (hypot.f64 x x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x x))) 3/4) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 3/4) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 x x) 3/8) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 3/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3) (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3) (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/8)) (pow.f64 (hypot.f64 x x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/16) (*.f64 (pow.f64 (hypot.f64 x x) 3/16) (pow.f64 (hypot.f64 x x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 3/16)) (pow.f64 (hypot.f64 x x) 3/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/4) (pow.f64 (hypot.f64 x x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x x))) 3/4) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 3/4) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 x x) 3/8) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 3/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/8)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 3/16) (pow.f64 (hypot.f64 x x) 3/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/8) (pow.f64 (hypot.f64 x x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x x))) 3/8) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 3/8) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (hypot.f64 x x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 9/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 3/16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3/16) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (hypot.f64 x x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 9/8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/8 (log.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 3/4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/8 (log.f64 (hypot.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/8))))))) |
| 1× | egg-herbie |
| 619× | unswap-sqr_binary64 |
| 310× | exp-sum_binary64 |
| 247× | fma-def_binary64 |
| 195× | exp-prod_binary64 |
| 174× | sqr-pow_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 896 |
| 1 | 125 | 836 |
| 2 | 289 | 728 |
| 3 | 763 | 476 |
| 4 | 2955 | 428 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 x))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 x))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 x))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 x))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) 2) |
(pow.f64 (exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) 2) |
(*.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)) |
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))) |
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))) |
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))) |
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 3/4 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 1/8 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(exp.f64 (*.f64 1/8 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(exp.f64 (*.f64 1/8 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(exp.f64 (*.f64 1/8 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 (sqrt.f64 2) 3))))) |
(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
| Outputs |
|---|
(pow.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 x))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (fma.f64 3 (log.f64 x) (log.f64 (pow.f64 (sqrt.f64 2) 3)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) 2) |
(pow.f64 (*.f64 (pow.f64 x 3/8) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/8)) 2) |
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) |
(pow.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 x))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (fma.f64 3 (log.f64 x) (log.f64 (pow.f64 (sqrt.f64 2) 3)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) 2) |
(pow.f64 (*.f64 (pow.f64 x 3/8) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/8)) 2) |
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) |
(pow.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 x))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (fma.f64 3 (log.f64 x) (log.f64 (pow.f64 (sqrt.f64 2) 3)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) 2) |
(pow.f64 (*.f64 (pow.f64 x 3/8) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/8)) 2) |
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) |
(pow.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 x))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (fma.f64 3 (log.f64 x) (log.f64 (pow.f64 (sqrt.f64 2) 3)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) 2) |
(pow.f64 (*.f64 (pow.f64 x 3/8) (pow.f64 (*.f64 2 (sqrt.f64 2)) 1/8)) 2) |
(pow.f64 (*.f64 (sqrt.f64 2) x) 3/4) |
(pow.f64 (exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 1 x)))))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (fma.f64 3 (log.f64 x) (log.f64 (pow.f64 (sqrt.f64 2) 3)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/8) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))) 2) |
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(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 -1 x))))) |
(pow.f64 (exp.f64 1/8) (*.f64 3 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 3/8 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(*.f64 (pow.f64 (sqrt.f64 2) 3/8) (pow.f64 (/.f64 -1 x) -3/8)) |
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3/8) |
(exp.f64 (*.f64 1/8 (-.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 3 (log.f64 (/.f64 -1 x)))))) |
(pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (pow.f64 (sqrt.f64 2) 3)) (*.f64 -3 (log.f64 (/.f64 -1 x))))) |
(pow.f64 (exp.f64 1/8) (*.f64 3 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(exp.f64 (*.f64 3/8 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))) |
(*.f64 (pow.f64 (sqrt.f64 2) 3/8) (pow.f64 (/.f64 -1 x) -3/8)) |
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3/8) |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 2 | 83 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 1 | 3 |
| Total | 85 | 8 | 93 |
| Status | Error | Program |
|---|---|---|
| 20.4b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)))) | |
| 0.8b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 3)) | |
| 0.9b | (*.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) | |
| 1.0b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 3/8)) (pow.f64 (hypot.f64 x x) 3/8)))) | |
| 0.9b | (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) | |
| 30.5b | (*.f64 (sqrt.f64 2) (neg.f64 x)) | |
| ✓ | 0.1b | (hypot.f64 x x) |
| 32.5b | (*.f64 (sqrt.f64 2) x) |
Compiled 1339 to 798 computations (40.4% saved)
Total 0.1b remaining (82.3%)
Threshold costs 0.1b (82.3%)
Compiled 811 to 436 computations (46.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 4 |
| 1× | saturated |
| Inputs |
|---|
(hypot.f64 x x) |
| Outputs |
|---|
(hypot.f64 x x) |
| 1× | fuel |
Compiled 119 to 70 computations (41.2% saved)
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