Time bar (total: 2.6s)
| 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 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 3.1% | 96.7% | 0.1% | 8 |
| 14% | 84.3% | 1.7% | 9 |
| 19.5% | 76.5% | 4% | 10 |
| 25.4% | 70.6% | 4% | 11 |
| 38.8% | 54.2% | 7% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 876.0ms | 8252× | body | 64 | valid |
| 100.0ms | 964× | body | 64 | invalid |
| 1.0ms | 4× | body | 128 | valid |
| 2× | egg-herbie |
| 786× | div-sub_binary64 |
| 505× | sub-neg_binary64 |
| 434× | fma-def_binary64 |
| 430× | neg-mul-1_binary64 |
| 343× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 35 | 40 |
| 2 | 83 | 40 |
| 3 | 209 | 40 |
| 4 | 449 | 40 |
| 5 | 1100 | 40 |
| 6 | 3562 | 40 |
| 7 | 7005 | 40 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 (*.f64 y (-.f64 x z)) x) |
(/.f64 (*.f64 z (-.f64 y x)) y) |
(/.f64 (*.f64 x (-.f64 z y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(fma.f64 (neg.f64 x) (/.f64 z y) x) |
(/.f64 (*.f64 y (-.f64 x z)) x) |
(/.f64 y (/.f64 x (-.f64 x z))) |
(*.f64 (/.f64 y x) (-.f64 x z)) |
(*.f64 (-.f64 x z) (/.f64 y x)) |
(/.f64 (-.f64 x z) (/.f64 x y)) |
(fma.f64 z (/.f64 (neg.f64 y) x) y) |
(fma.f64 z (/.f64 y (neg.f64 x)) y) |
(/.f64 (*.f64 z (-.f64 y x)) y) |
(/.f64 z (/.f64 y (-.f64 y x))) |
(*.f64 (/.f64 z y) (-.f64 y x)) |
(*.f64 (-.f64 y x) (/.f64 z y)) |
(*.f64 z (/.f64 (-.f64 y x) y)) |
(*.f64 z (-.f64 1 (/.f64 x y))) |
(/.f64 (*.f64 x (-.f64 z y)) z) |
(/.f64 x (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 x z) (-.f64 z y)) |
(*.f64 (-.f64 z y) (/.f64 x z)) |
(*.f64 x (-.f64 1 (/.f64 y z))) |
(-.f64 x (/.f64 x (/.f64 z y))) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
| 816× | fma-def_binary64 |
| 681× | fma-neg_binary64 |
| 463× | associate-/l*_binary64 |
| 368× | associate-*l/_binary64 |
| 322× | distribute-rgt-neg-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 12 | 10 |
| 2 | 27 | 10 |
| 3 | 62 | 10 |
| 4 | 134 | 10 |
| 5 | 242 | 10 |
| 6 | 443 | 10 |
| 7 | 1265 | 10 |
| 8 | 5712 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 6.5b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 14.4b | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 57 to 33 computations (42.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.8b | (/.f64 z (/.f64 y x)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 z (/.f64 y x)) |
| 1.0ms | y | @ | 0 | (/.f64 z (/.f64 y x)) |
| 1.0ms | z | @ | inf | (/.f64 z (/.f64 y x)) |
| 1.0ms | x | @ | 0 | (/.f64 z (/.f64 y x)) |
| 1.0ms | x | @ | -inf | (/.f64 z (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 780× | pow1_binary64 |
| 724× | add-log-exp_binary64 |
| 724× | log1p-expm1-u_binary64 |
| 724× | expm1-log1p-u_binary64 |
| 707× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 131 | 7 |
| 2 | 1915 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 13 | 252 |
| 3 | 16 | 252 |
| 4 | 17 | 252 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 5 | 42 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 38 | 6 | 44 |
| Status | Error | Program |
|---|---|---|
| 6.7b | (-.f64 x (*.f64 (/.f64 x y) z)) | |
| ✓ | 6.5b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 5.9b | (-.f64 x (/.f64 (*.f64 z x) y)) | |
| 7.0b | (-.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))) | |
| ▶ | 2.9b | (-.f64 x (*.f64 x (/.f64 z y))) |
| 6.0b | (-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) |
Compiled 623 to 280 computations (55.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.1b | (*.f64 x (/.f64 z y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x (/.f64 z y)) |
| 0.0ms | z | @ | -inf | (*.f64 x (/.f64 z y)) |
| 0.0ms | x | @ | inf | (*.f64 x (/.f64 z y)) |
| 0.0ms | z | @ | inf | (*.f64 x (/.f64 z y)) |
| 0.0ms | x | @ | -inf | (*.f64 x (/.f64 z y)) |
| 1× | batch-egg-rewrite |
| 681× | pow1_binary64 |
| 628× | add-log-exp_binary64 |
| 628× | log1p-expm1-u_binary64 |
| 628× | expm1-log1p-u_binary64 |
| 613× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 125 | 7 |
| 2 | 1672 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 z y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 13 | 252 |
| 3 | 16 | 252 |
| 4 | 17 | 252 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 22 | 2 | 24 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 24 | 6 | 30 |
| Status | Error | Program |
|---|---|---|
| ✓ | 6.5b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 7.0b | (-.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))) | |
| ▶ | 2.6b | (-.f64 x (/.f64 x (/.f64 y z))) |
| 6.7b | (-.f64 x (*.f64 z (/.f64 x y))) | |
| ✓ | 2.9b | (-.f64 x (*.f64 x (/.f64 z y))) |
| 6.0b | (-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) |
Compiled 359 to 182 computations (49.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.3b | (/.f64 x (/.f64 y z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (/.f64 y z)) |
| 0.0ms | x | @ | inf | (/.f64 x (/.f64 y z)) |
| 0.0ms | x | @ | -inf | (/.f64 x (/.f64 y z)) |
| 0.0ms | y | @ | inf | (/.f64 x (/.f64 y z)) |
| 0.0ms | z | @ | 0 | (/.f64 x (/.f64 y z)) |
| 1× | batch-egg-rewrite |
| 780× | pow1_binary64 |
| 724× | add-log-exp_binary64 |
| 724× | log1p-expm1-u_binary64 |
| 724× | expm1-log1p-u_binary64 |
| 707× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 131 | 7 |
| 2 | 1915 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 13 | 252 |
| 3 | 16 | 252 |
| 4 | 17 | 252 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 1 | 42 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 42 | 6 | 48 |
| Status | Error | Program |
|---|---|---|
| ✓ | 6.5b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 7.0b | (-.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))) | |
| 6.7b | (-.f64 x (*.f64 (/.f64 x y) z)) | |
| ✓ | 2.6b | (-.f64 x (/.f64 x (/.f64 y z))) |
| ✓ | 2.9b | (-.f64 x (*.f64 x (/.f64 z y))) |
| ▶ | 6.0b | (-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) |
Compiled 603 to 268 computations (55.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 z (/.f64 1 x)) |
| ✓ | 6.6b | (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))) |
| 1.0ms | z | @ | inf | (/.f64 z (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 z (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 z (/.f64 1 x)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 493× | log-prod_binary64 |
| 444× | prod-exp_binary64 |
| 381× | exp-prod_binary64 |
| 333× | pow-prod-down_binary64 |
| 241× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 193 | 11 |
| 2 | 2634 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))) |
(/.f64 z (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 y (/.f64 (/.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (/.f64 1 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (/.f64 y (cbrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 z x)) (/.f64 y (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 y) (/.f64 (/.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (/.f64 1 x) z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (*.f64 y (/.f64 -1 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1) (log.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (*.f64 z x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) -1) (*.f64 (log.f64 (*.f64 z x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (*.f64 (log.f64 (*.f64 z x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 z x)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 z x)) (*.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 z x)) 1) (*.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 z x)) (*.f64 (neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 z x)) 1) (*.f64 (neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 z y)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 z (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -2) (/.f64 z (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 z) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z 3) (pow.f64 x -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 1 x) z) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) 2)) (cbrt.f64 (log.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 z) (*.f64 (log.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 z) (*.f64 (neg.f64 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (*.f64 (neg.f64 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z x))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 348 |
| 1 | 9 | 348 |
| 2 | 13 | 348 |
| 3 | 16 | 348 |
| 4 | 17 | 348 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 x y)) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
(*.f64 z x) |
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 2 | 149 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 149 | 6 | 155 |
| Status | Error | Program |
|---|---|---|
| ✓ | 6.5b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 6.4b | (-.f64 x (/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) z))) | |
| ✓ | 2.6b | (-.f64 x (/.f64 x (/.f64 y z))) |
| 6.7b | (-.f64 x (*.f64 z (/.f64 x y))) | |
| ✓ | 2.9b | (-.f64 x (*.f64 x (/.f64 z y))) |
| ✓ | 6.0b | (-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) |
Compiled 1989 to 1016 computations (48.9% saved)
Total -23.4b remaining (-2142%)
Threshold costs -23.4b (-2142%)
| Inputs |
|---|
(-.f64 x (/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) z))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
| Outputs |
|---|
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 x (/.f64 z y))) |
| 7.0ms | 2.6b | x |
| 9.0ms | 2.6b | y |
| 15.0ms | 1.6b | z |
| 19.0ms | 1.1b | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 127 to 60 computations (52.8% saved)
| 2× | left-value |
2 calls:
| 0.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 0.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
-1e+124 | ∈ [ | -1.1513673670136002e+124 | , | -7.716710686914085e+120 | ] | |
#hash((type . real) (value . -inf)) | ∈ [ | #hash((type . real) (value . -inf)) | , | -9.08985246177039e+307 | ] | |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 60 |
| 1 | 37 | 60 |
| 2 | 61 | 60 |
| 3 | 80 | 60 |
| 4 | 89 | 60 |
| 5 | 91 | 60 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888) (-.f64 x (/.f64 (*.f64 z x) y)) (-.f64 x (*.f64 x (/.f64 z y))))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888) (-.f64 x (/.f64 (*.f64 z x) y)) (-.f64 x (*.f64 x (/.f64 z y))))) |
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888) (-.f64 x (/.f64 (*.f64 x z) y)) (-.f64 x (*.f64 x (/.f64 z y))))) |
| 1× | fuel |
Compiled 88 to 42 computations (52.3% saved)
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