Time bar (total: 1.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 37.5% | 40.6% | 22% | 7 |
| 43.7% | 32.8% | 23.5% | 8 |
| 43.7% | 21.1% | 35.2% | 9 |
| 46.8% | 16.8% | 36.4% | 10 |
| 46.8% | 10.7% | 42.4% | 11 |
| 48.4% | 8.5% | 43.1% | 12 |
| 48.4% | 5.4% | 46.2% | 13 |
| 49.2% | 4.3% | 46.6% | 14 |
Compiled 9 to 6 computations (33.3% saved)
| 743.0ms | 8256× | body | 128 | valid |
| 43.0ms | 528× | body | 128 | invalid |
Compiled 18 to 12 computations (33.3% saved)
| 2× | egg-herbie |
| 428× | unswap-sqr_binary64 |
| 334× | associate-/l/_binary64 |
| 292× | sqr-pow_binary64 |
| 271× | associate-*r/_binary64 |
| 263× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 15 | 18 |
| 2 | 22 | 18 |
| 3 | 40 | 18 |
| 4 | 95 | 18 |
| 5 | 271 | 18 |
| 6 | 854 | 18 |
| 7 | 1424 | 18 |
| 8 | 3749 | 18 |
| 9 | 4019 | 18 |
| 10 | 4459 | 18 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 y (exp.f64 (*.f64 x x))) |
| Outputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 x (pow.f64 (exp.f64 y) y)) |
(*.f64 y (exp.f64 (*.f64 x x))) |
(*.f64 y (pow.f64 (exp.f64 x) x)) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
| 445× | associate-*l*_binary64 |
| 407× | associate-*l/_binary64 |
| 368× | unswap-sqr_binary64 |
| 264× | associate-*r*_binary64 |
| 252× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 9 | 9 |
| 2 | 13 | 9 |
| 3 | 22 | 9 |
| 4 | 51 | 9 |
| 5 | 140 | 9 |
| 6 | 425 | 9 |
| 7 | 1429 | 9 |
| 8 | 2660 | 9 |
| 9 | 4022 | 9 |
| 10 | 4406 | 9 |
| 11 | 4981 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 x (pow.f64 (exp.f64 y) y)) |
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 |
|---|---|---|
| ▶ | 0.0b | (*.f64 x (pow.f64 (exp.f64 y) y)) |
Compiled 30 to 18 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (exp.f64 y) y) |
| ✓ | 0.0b | (*.f64 x (pow.f64 (exp.f64 y) y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | 0 | (*.f64 x (pow.f64 (exp.f64 y) y)) |
| 6.0ms | y | @ | 0 | (pow.f64 (exp.f64 y) y) |
| 6.0ms | x | @ | -inf | (*.f64 x (pow.f64 (exp.f64 y) y)) |
| 1.0ms | y | @ | 0 | (*.f64 x (pow.f64 (exp.f64 y) y)) |
| 1.0ms | y | @ | inf | (*.f64 x (pow.f64 (exp.f64 y) y)) |
| 1× | batch-egg-rewrite |
| 550× | pow1_binary64 |
| 505× | add-log-exp_binary64 |
| 505× | log1p-expm1-u_binary64 |
| 505× | expm1-log1p-u_binary64 |
| 491× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 118 | 15 |
| 2 | 1407 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (pow.f64 (exp.f64 y) y)) |
(pow.f64 (exp.f64 y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (exp.f64 (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (*.f64 y y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 y y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (*.f64 y y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 y y))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 y y))) 2) (cbrt.f64 (exp.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (*.f64 y y))) (sqrt.f64 (exp.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 y) (exp.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) y) (pow.f64 (cbrt.f64 (exp.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 y y)))))))) |
| 1× | egg-herbie |
| 521× | fma-def_binary64 |
| 436× | distribute-rgt-out_binary64 |
| 393× | associate-*l*_binary64 |
| 376× | *-commutative_binary64 |
| 320× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 330 |
| 1 | 77 | 322 |
| 2 | 192 | 315 |
| 3 | 585 | 311 |
| 4 | 2229 | 311 |
| 5 | 4304 | 311 |
| 6 | 4795 | 311 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
x |
(+.f64 (*.f64 (pow.f64 y 2) x) x) |
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
1 |
(+.f64 1 (pow.f64 y 2)) |
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 1/2 (pow.f64 y 4)))) |
(+.f64 1 (+.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 6))))) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (pow.f64 y 2)) |
| Outputs |
|---|
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
x |
(+.f64 (*.f64 (pow.f64 y 2) x) x) |
(fma.f64 (*.f64 y y) x x) |
(*.f64 x (fma.f64 y y 1)) |
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 (*.f64 y y) x (fma.f64 1/2 (*.f64 x (pow.f64 y 4)) x)) |
(+.f64 x (*.f64 x (fma.f64 y y (*.f64 1/2 (pow.f64 y 4))))) |
(fma.f64 x (fma.f64 1/2 (pow.f64 y 4) (*.f64 y y)) x) |
(*.f64 x (fma.f64 y y (fma.f64 1/2 (pow.f64 y 4) 1))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))) |
(fma.f64 1/6 (*.f64 x (pow.f64 y 6)) (fma.f64 (*.f64 y y) x (fma.f64 1/2 (*.f64 x (pow.f64 y 4)) x))) |
(fma.f64 1/6 (*.f64 x (pow.f64 y 6)) (+.f64 x (*.f64 x (fma.f64 y y (*.f64 1/2 (pow.f64 y 4)))))) |
(+.f64 x (*.f64 x (fma.f64 1/6 (pow.f64 y 6) (fma.f64 1/2 (pow.f64 y 4) (*.f64 y y))))) |
(fma.f64 x (fma.f64 1/6 (pow.f64 y 6) (fma.f64 1/2 (pow.f64 y 4) (*.f64 y y))) x) |
(*.f64 x (fma.f64 1/2 (pow.f64 y 4) (fma.f64 1/6 (pow.f64 y 6) (fma.f64 y y 1)))) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (exp.f64 (pow.f64 y 2)) x) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
1 |
(+.f64 1 (pow.f64 y 2)) |
(+.f64 (*.f64 y y) 1) |
(fma.f64 y y 1) |
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 1/2 (pow.f64 y 4)))) |
(+.f64 1 (+.f64 (*.f64 y y) (*.f64 1/2 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 y y (*.f64 1/2 (pow.f64 y 4)))) |
(fma.f64 y y (fma.f64 1/2 (pow.f64 y 4) 1)) |
(+.f64 1 (+.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 6))))) |
(+.f64 1 (+.f64 (*.f64 y y) (fma.f64 1/2 (pow.f64 y 4) (*.f64 1/6 (pow.f64 y 6))))) |
(+.f64 (fma.f64 y y 1) (fma.f64 1/2 (pow.f64 y 4) (*.f64 1/6 (pow.f64 y 6)))) |
(+.f64 1 (fma.f64 1/6 (pow.f64 y 6) (fma.f64 1/2 (pow.f64 y 4) (*.f64 y y)))) |
(fma.f64 y y (fma.f64 1/2 (pow.f64 y 4) (fma.f64 1/6 (pow.f64 y 6) 1))) |
(fma.f64 1/2 (pow.f64 y 4) (fma.f64 1/6 (pow.f64 y 6) (fma.f64 y y 1))) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 (pow.f64 y 2)) |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 1 | 46 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 45 | 2 | 47 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.7b | (+.f64 (*.f64 (pow.f64 y 2) x) x) |
| ✓ | 0.0b | (*.f64 x (pow.f64 (exp.f64 y) y)) |
Compiled 478 to 236 computations (50.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (pow.f64 y 2) x) x) |
| ✓ | 6.4b | (*.f64 (pow.f64 y 2) x) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 (pow.f64 y 2) x) |
| 1.0ms | y | @ | 0 | (*.f64 (pow.f64 y 2) x) |
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 y 2) x) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 y 2) x) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 (pow.f64 y 2) x) x) |
| 1× | batch-egg-rewrite |
| 766× | pow1_binary64 |
| 712× | log1p-expm1-u_binary64 |
| 712× | expm1-log1p-u_binary64 |
| 78× | add-sqr-sqrt_binary64 |
| 75× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 156 | 15 |
| 2 | 2000 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 y 2) x) |
(+.f64 (*.f64 (pow.f64 y 2) x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (-.f64 (*.f64 y (*.f64 y x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 y y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 y y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 y y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 y y 1))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y 1))) 2) (cbrt.f64 (*.f64 x (fma.f64 y y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 y y 1))) (sqrt.f64 (*.f64 x (fma.f64 y y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 x (-.f64 x (*.f64 y (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y (*.f64 y x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 y y 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 y y 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 y y 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 x (-.f64 x (*.f64 y (*.f64 y x))))) (+.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y (*.f64 y x)) x) (-.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 x (-.f64 x (*.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 (*.f64 y y) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 x (-.f64 x (*.f64 y (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y (*.f64 y x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (pow.f64 y 4))) (-.f64 x (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 y y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 y y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (fma.f64 y y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 y y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 y y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y y 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 2) (cbrt.f64 (*.f64 y (*.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y 1)))))))) |
| 1× | egg-herbie |
| 775× | sqr-pow_binary64 |
| 407× | fabs-mul_binary64 |
| 390× | cube-prod_binary64 |
| 381× | pow-sqr_binary64 |
| 242× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 135 |
| 1 | 18 | 111 |
| 2 | 35 | 111 |
| 3 | 73 | 111 |
| 4 | 167 | 111 |
| 5 | 445 | 111 |
| 6 | 667 | 111 |
| 7 | 1088 | 111 |
| 8 | 1208 | 111 |
| 9 | 1341 | 111 |
| 10 | 1513 | 111 |
| 11 | 1756 | 111 |
| 12 | 2071 | 111 |
| 13 | 2443 | 111 |
| 14 | 2899 | 111 |
| 15 | 3484 | 111 |
| 16 | 4194 | 111 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
| Outputs |
|---|
x |
(*.f64 (pow.f64 y 2) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 y x)) |
(*.f64 y (*.f64 x y)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 y x)) |
(*.f64 y (*.f64 x y)) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
(*.f64 (+.f64 1 (pow.f64 y 2)) x) |
(*.f64 x (+.f64 (*.f64 y y) 1)) |
(*.f64 x (fma.f64 y y 1)) |
(fma.f64 y (*.f64 x y) x) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 0 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 60 | 2 | 62 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.7b | (+.f64 (*.f64 (pow.f64 y 2) x) x) |
| ✓ | 0.0b | (*.f64 x (pow.f64 (exp.f64 y) y)) |
Compiled 750 to 331 computations (55.9% saved)
Total 0.0b remaining (24.4%)
Threshold costs 0.0b (24.4%)
Compiled 79 to 41 computations (48.1% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 7 | 9 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (pow.f64 (exp.f64 y) y)) |
| Outputs |
|---|
(*.f64 x (pow.f64 (exp.f64 y) y)) |
| 1× | done |
Compiled 33 to 21 computations (36.4% saved)
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