Time bar (total: 6.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 25.8% | 25% | 71.8% | 0.1% | 3.1% | 0% | 0% | 9 |
| 36.4% | 34.3% | 60.1% | 0.1% | 5.5% | 0% | 0% | 10 |
| 44.5% | 41.3% | 51.5% | 0.1% | 7% | 0% | 0% | 11 |
| 51.5% | 46.8% | 44.1% | 0.1% | 9% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.9s | 8256× | body | 256 | valid |
| 177.0ms | 1250× | body | 256 | infinite |
| 2× | egg-herbie |
| 768× | fma-neg_binary64 |
| 441× | fma-def_binary64 |
| 175× | cancel-sign-sub-inv_binary64 |
| 127× | distribute-rgt-in_binary64 |
| 113× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 44 |
| 1 | 43 | 44 |
| 2 | 87 | 44 |
| 3 | 151 | 44 |
| 4 | 337 | 36 |
| 5 | 680 | 32 |
| 6 | 1140 | 32 |
| 7 | 1863 | 32 |
| 8 | 2484 | 32 |
| 9 | 2782 | 32 |
| 10 | 2857 | 32 |
| 11 | 2858 | 32 |
| 12 | 2858 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z)) |
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x)) |
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(fma.f64 x y (*.f64 (-.f64 1 x) z)) |
(fma.f64 x (fma.f64 z -1 y) z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z)) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 x y (*.f64 z (-.f64 1 y))) |
(-.f64 (fma.f64 x y z) (*.f64 y z)) |
(fma.f64 y (fma.f64 z -1 x) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x)) |
(fma.f64 z y (*.f64 x (-.f64 1 z))) |
(fma.f64 x (-.f64 1 z) (*.f64 y z)) |
(fma.f64 z (fma.f64 x -1 y) x) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) |
(fma.f64 x z (*.f64 y (-.f64 1 x))) |
(fma.f64 x z (-.f64 y (*.f64 x y))) |
(fma.f64 x (fma.f64 y -1 z) y) |
(fma.f64 x (-.f64 z y) y) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 346× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 45× | distribute-rgt-in_binary64 |
| 41× | associate--r+_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 17 | 11 |
| 2 | 30 | 11 |
| 3 | 57 | 11 |
| 4 | 126 | 9 |
| 5 | 218 | 8 |
| 6 | 346 | 8 |
| 7 | 557 | 8 |
| 8 | 960 | 8 |
| 9 | 1145 | 8 |
| 10 | 1205 | 8 |
| 11 | 1215 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(fma.f64 x y (*.f64 (-.f64 1 x) z)) |
(-.f64 (fma.f64 x y z) (*.f64 x z)) |
(fma.f64 x (fma.f64 z -1 y) z) |
(fma.f64 x (-.f64 y z) z) |
Compiled 18 to 10 computations (44.4% saved)
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 |
|---|---|---|
| ▶ | 0b | (fma.f64 x (-.f64 y z) z) |
| ▶ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
Compiled 21 to 13 computations (38.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| ✓ | 0.0b | (*.f64 (-.f64 1 x) z) |
Compiled 27 to 14 computations (48.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 1 x) z) |
| 1.0ms | z | @ | -inf | (*.f64 (-.f64 1 x) z) |
| 1.0ms | z | @ | 0 | (*.f64 (-.f64 1 x) z) |
| 1.0ms | z | @ | inf | (*.f64 (-.f64 1 x) z) |
| 1× | batch-egg-rewrite |
| 476× | log-prod_binary64 |
| 409× | prod-exp_binary64 |
| 382× | fma-def_binary64 |
| 353× | exp-prod_binary64 |
| 342× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 192 | 18 |
| 2 | 2623 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 x) z) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) z) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 x) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))) (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 (-.f64 1 x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1 x) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (-.f64 1 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) z) 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 1 (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 2) (cbrt.f64 (*.f64 (-.f64 1 x) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) (sqrt.f64 (*.f64 (-.f64 1 x) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (*.f64 x y)))))) |
| 1× | egg-herbie |
| 345× | fma-def_binary64 |
| 247× | fma-neg_binary64 |
| 51× | cancel-sign-sub-inv_binary64 |
| 47× | unsub-neg_binary64 |
| 38× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 477 |
| 1 | 58 | 424 |
| 2 | 125 | 424 |
| 3 | 251 | 424 |
| 4 | 523 | 424 |
| 5 | 883 | 424 |
| 6 | 1150 | 424 |
| 7 | 1219 | 424 |
| 8 | 1221 | 424 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
z |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 x (neg.f64 z)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 x (neg.f64 z)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
z |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 x (fma.f64 -1 z y)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(*.f64 x (fma.f64 -1 z y)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
Compiled 15 to 5 computations (66.7% saved)
Compiled 1989 to 1084 computations (45.5% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 4 | 138 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 134 | 6 | 140 |
| Status | Error | Program |
|---|---|---|
| ▶ | 24.7b | (*.f64 x (-.f64 y z)) |
| ▶ | 0.0b | (+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
| ✓ | 0b | (fma.f64 x (-.f64 y z) z) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| ▶ | 36.7b | (*.f64 y x) |
| ▶ | 12.9b | (+.f64 (*.f64 x y) z) |
Compiled 55 to 35 computations (36.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (-.f64 y z)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (-.f64 y z)) |
| 1.0ms | y | @ | -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 | x | @ | -inf | (*.f64 x (-.f64 y z)) |
| 1× | batch-egg-rewrite |
| 725× | pow1_binary64 |
| 672× | add-log-exp_binary64 |
| 672× | log1p-expm1-u_binary64 |
| 672× | expm1-log1p-u_binary64 |
| 657× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1784 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 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 cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 y z)))))))) |
| 1× | egg-herbie |
| 203× | fma-def_binary64 |
| 124× | fma-neg_binary64 |
| 43× | cancel-sign-sub-inv_binary64 |
| 34× | distribute-rgt-in_binary64 |
| 26× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 240 |
| 1 | 22 | 240 |
| 2 | 43 | 240 |
| 3 | 62 | 240 |
| 4 | 92 | 240 |
| 5 | 158 | 240 |
| 6 | 287 | 240 |
| 7 | 418 | 240 |
| 8 | 599 | 240 |
| 9 | 737 | 240 |
| 10 | 749 | 240 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
| Outputs |
|---|
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) z) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x y) z) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 707× | pow1_binary64 |
| 655× | add-log-exp_binary64 |
| 655× | log1p-expm1-u_binary64 |
| 655× | expm1-log1p-u_binary64 |
| 640× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 129 | 5 |
| 2 | 1775 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (-.f64 (*.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 159 |
| 1 | 9 | 159 |
| 2 | 10 | 159 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
| Outputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
| ✓ | 0.0b | (*.f64 (+.f64 (*.f64 -1 z) y) x) |
Compiled 31 to 18 computations (41.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 (*.f64 -1 z) y) x) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 (*.f64 -1 z) y) x) |
| 1.0ms | z | @ | 0 | (*.f64 (+.f64 (*.f64 -1 z) y) x) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 (*.f64 -1 z) y) x) |
| 1× | batch-egg-rewrite |
| 973× | pow1_binary64 |
| 902× | add-log-exp_binary64 |
| 902× | log1p-expm1-u_binary64 |
| 902× | expm1-log1p-u_binary64 |
| 103× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 196 | 15 |
| 2 | 2890 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 y 3)) x) (fma.f64 z z (*.f64 y (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 z 3) (pow.f64 y 3))) (fma.f64 z z (*.f64 y (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 z y) (-.f64 z y))) (-.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 z y) x) 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 log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 z y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 z y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 z y) x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) 2) (fma.f64 (+.f64 z y) x z)) (/.f64 (*.f64 z z) (fma.f64 (+.f64 z y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 z y) x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 z y) x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 2) (/.f64 1 (fma.f64 (+.f64 z y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 z y) x z)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z y) x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z y) x z)) 2) (cbrt.f64 (fma.f64 (+.f64 z y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x z)) (sqrt.f64 (fma.f64 (+.f64 z y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z y) x) 3) (pow.f64 z 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 2) (*.f64 z (*.f64 (+.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 z y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 (+.f64 z y) x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 2) (*.f64 z (*.f64 (+.f64 z y) x))) (+.f64 (pow.f64 (*.f64 (+.f64 z y) x) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 z y) x z) (pow.f64 (fma.f64 (+.f64 z y) x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 2) (fma.f64 (+.f64 z y) x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z y) x) 3) (pow.f64 z 3)) (-.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 2) (*.f64 z (*.f64 (+.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z y) x) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) 2) (*.f64 z (*.f64 (+.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z y) x) 3) (pow.f64 z 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 2) (*.f64 z (*.f64 (+.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 2)) (neg.f64 (fma.f64 (+.f64 z y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 (+.f64 z y) x) 2) (+.f64 (*.f64 z z) (*.f64 z (*.f64 (+.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (+.f64 z y) x) 2)) (-.f64 z (*.f64 (+.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 z y) x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 z y) x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 z y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 z y) x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 z y)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 z y) x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 z y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 z y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 z y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z y) x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 z y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (+.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 z y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z y) x)) 2) (cbrt.f64 (*.f64 (+.f64 z y) x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (+.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 z y) x)) (sqrt.f64 (*.f64 (+.f64 z y) x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (+.f64 z y) x)))))) |
| 1× | egg-herbie |
| 400× | fma-def_binary64 |
| 296× | fma-neg_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 58× | distribute-rgt-in_binary64 |
| 43× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 504 |
| 1 | 58 | 402 |
| 2 | 110 | 348 |
| 3 | 183 | 348 |
| 4 | 343 | 348 |
| 5 | 643 | 348 |
| 6 | 1023 | 348 |
| 7 | 1262 | 348 |
| 8 | 1381 | 348 |
| 9 | 1383 | 348 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
z |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
| Outputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 y x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(*.f64 z (+.f64 1 (neg.f64 x))) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 -1 (*.f64 (-.f64 x 1) z)) |
(*.f64 z (+.f64 1 (neg.f64 x))) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 z (+.f64 1 (neg.f64 x))) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (+.f64 1 (neg.f64 x)) z (*.f64 y x)) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x (-.f64 y z) z) |
z |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
Compiled 1539 to 516 computations (66.5% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 5 | 137 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 134 | 9 | 143 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.7b | (*.f64 x (-.f64 y z)) |
| ▶ | 51.0b | (*.f64 z (neg.f64 x)) |
| ▶ | 26.6b | (+.f64 (*.f64 z (neg.f64 x)) z) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| ▶ | 0.0b | (+.f64 (*.f64 x (-.f64 y z)) z) |
| ✓ | 12.9b | (+.f64 (*.f64 x y) z) |
| 38.5b | z | |
| ▶ | 12.9b | (fma.f64 y x z) |
| ✓ | 36.7b | (*.f64 y x) |
Compiled 71 to 46 computations (35.2% saved)
Compiled 11 to 5 computations (54.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x (-.f64 y z)) z) |
| 0.0b | (*.f64 x (-.f64 y z)) |
Compiled 21 to 6 computations (71.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 x (-.f64 y z)) z) |
| 1.0ms | y | @ | -inf | (+.f64 (*.f64 x (-.f64 y z)) z) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 x (-.f64 y z)) z) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 x (-.f64 y z)) z) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 x (-.f64 y z)) z) |
| 1× | batch-egg-rewrite |
| 951× | pow1_binary64 |
| 883× | add-log-exp_binary64 |
| 883× | log1p-expm1-u_binary64 |
| 883× | expm1-log1p-u_binary64 |
| 864× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 159 | 8 |
| 2 | 2348 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (-.f64 y z)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (-.f64 y z) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (-.f64 (*.f64 x (-.f64 y z)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (-.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 y z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 y z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) 2) (cbrt.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) (sqrt.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (-.f64 y z)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (*.f64 z (-.f64 z (*.f64 x (-.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x (-.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (*.f64 z (-.f64 z (*.f64 x (-.f64 y z))))) (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (-.f64 y z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x (-.f64 y z)) z) (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (-.f64 y z)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (*.f64 z (-.f64 z (*.f64 x (-.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (-.f64 y z)) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (*.f64 z (*.f64 x (-.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 y z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (-.f64 y z)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (*.f64 z (-.f64 z (*.f64 x (-.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x (-.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (-.f64 y z)) 2)) (-.f64 z (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 y z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 y z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 y z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (cbrt.f64 (*.f64 x (-.f64 y z))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (-.f64 y z))))))) |
| 1× | egg-herbie |
| 393× | fma-def_binary64 |
| 296× | fma-neg_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 58× | distribute-rgt-in_binary64 |
| 43× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 267 |
| 1 | 60 | 264 |
| 2 | 115 | 264 |
| 3 | 191 | 264 |
| 4 | 351 | 264 |
| 5 | 653 | 264 |
| 6 | 1024 | 264 |
| 7 | 1263 | 264 |
| 8 | 1382 | 264 |
| 9 | 1384 | 264 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(*.f64 y x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 y x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 -1 (*.f64 (-.f64 x 1) z)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 (-.f64 y z) x z) |
Compiled 17 to 6 computations (64.7% saved)
Compiled 10 to 4 computations (60% saved)
Compiled 868 to 292 computations (66.4% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 2 | 71 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 70 | 10 | 80 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.7b | (*.f64 x (-.f64 y z)) |
| ✓ | 51.0b | (*.f64 z (neg.f64 x)) |
| ✓ | 26.6b | (+.f64 (*.f64 z (neg.f64 x)) z) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| ✓ | 0.0b | (+.f64 (*.f64 x (-.f64 y z)) z) |
| ✓ | 12.9b | (+.f64 (*.f64 x y) z) |
| 38.5b | z | |
| ✓ | 12.9b | (fma.f64 y x z) |
| ✓ | 36.7b | (*.f64 y x) |
| ▶ | 26.6b | (*.f64 z (-.f64 1 x)) |
Compiled 79 to 52 computations (34.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 z (-.f64 1 x)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 z (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 z (-.f64 1 x)) |
| 0.0ms | z | @ | -inf | (*.f64 z (-.f64 1 x)) |
| 0.0ms | z | @ | inf | (*.f64 z (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 z (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 122 | 7 |
| 2 | 1510 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) z) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 133× | fma-def_binary64 |
| 90× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 21× | associate-*r*_binary64 |
| 17× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 85 |
| 1 | 14 | 76 |
| 2 | 30 | 76 |
| 3 | 46 | 76 |
| 4 | 64 | 76 |
| 5 | 128 | 76 |
| 6 | 253 | 76 |
| 7 | 359 | 76 |
| 8 | 457 | 76 |
| 9 | 533 | 76 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
Compiled 179 to 113 computations (36.9% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 0 | 23 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 23 | 10 | 33 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.7b | (*.f64 x (-.f64 y z)) |
| ✓ | 51.0b | (*.f64 z (neg.f64 x)) |
| ✓ | 26.6b | (+.f64 (*.f64 z (neg.f64 x)) z) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| ✓ | 0.0b | (+.f64 (*.f64 x (-.f64 y z)) z) |
| ✓ | 12.9b | (+.f64 (*.f64 x y) z) |
| 38.5b | z | |
| ✓ | 12.9b | (fma.f64 y x z) |
| ✓ | 36.7b | (*.f64 y x) |
| ✓ | 26.6b | (*.f64 z (-.f64 1 x)) |
Compiled 79 to 52 computations (34.2% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 x y) z) |
(+.f64 (*.f64 z (neg.f64 x)) z) |
(+.f64 (*.f64 x (-.f64 y z)) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(fma.f64 y x z) |
(fma.f64 x (-.f64 y z) z) |
| Outputs |
|---|
(fma.f64 x (-.f64 y z) z) |
4 calls:
| 17.0ms | x |
| 16.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 16.0ms | y |
| 15.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | z |
| 0b | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
Compiled 92 to 43 computations (53.3% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 x y) z) |
(+.f64 (*.f64 z (neg.f64 x)) z) |
(+.f64 (*.f64 x (-.f64 y z)) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(fma.f64 y x z) |
| Outputs |
|---|
(+.f64 (*.f64 x (-.f64 y z)) z) |
4 calls:
| 31.0ms | x |
| 16.0ms | z |
| 16.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 15.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
Compiled 86 to 42 computations (51.2% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 x y) z) |
(+.f64 (*.f64 z (neg.f64 x)) z) |
| Outputs |
|---|
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 x y) z) |
(*.f64 x (-.f64 y z)) |
3 calls:
| 106.0ms | z |
| 61.0ms | y |
| 56.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
| 5.9b | 3 | y |
| 8.6b | 4 | z |
Compiled 45 to 23 computations (48.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 0.004019707289654533 | 53350093.82094441 |
| 31.0ms | -489738.6868603319 | -2.2769447250602784e-9 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 x (-.f64 y z)) |
| Outputs |
|---|
(*.f64 z (-.f64 1 x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 z (-.f64 1 x)) |
3 calls:
| 58.0ms | x |
| 46.0ms | z |
| 15.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 12.4b | 5 | x |
| 13.1b | 3 | y |
| 10.7b | 3 | z |
Compiled 34 to 20 computations (41.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.0844860211597655e-102 | 3.762432762326941e-97 |
| 19.0ms | -0.007169721633182441 | -9.123885381873189e-23 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 z (-.f64 1 x)) |
| Outputs |
|---|
(*.f64 y x) |
(*.f64 z (-.f64 1 x)) |
(*.f64 y x) |
3 calls:
| 34.0ms | x |
| 23.0ms | z |
| 13.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.8b | 8 | x |
| 13.5b | 3 | y |
| 13.9b | 5 | z |
Compiled 29 to 18 computations (37.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.618651262408433e+59 | 2.016868098352766e+66 |
| 19.0ms | -1.0492324053620945e+45 | -3.95211069423611e+40 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
| Outputs |
|---|
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(*.f64 y x) |
z |
(*.f64 y x) |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
3 calls:
| 80.0ms | x |
| 37.0ms | y |
| 18.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 20.8b | 8 | x |
| 23.0b | 5 | y |
| 22.1b | 5 | z |
Compiled 24 to 15 computations (37.5% saved)
| 7× | binary-search |
| Time | Left | Right |
|---|---|---|
| 130.0ms | 1.95217711323213e+139 | 1.1765150912134681e+144 |
| 36.0ms | 9.597387351049036e-57 | 6.166070852732312e-47 |
| 37.0ms | -1.3219459032382377e-144 | -6.985766967635123e-151 |
| 36.0ms | -1.3941658689435104e-74 | -9.439172113927494e-75 |
| 37.0ms | -3.582620232084313e-59 | -1.0389162249685038e-59 |
| 70.0ms | -2.795491370886333e+106 | -5.90990037829959e+102 |
| 31.0ms | -6.232977033250093e+237 | -3.030482459504247e+235 |
Compiled 363 to 266 computations (26.7% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
| Outputs |
|---|
z |
(*.f64 y x) |
z |
3 calls:
| 94.0ms | x |
| 77.0ms | z |
| 20.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 24.4b | 5 | x |
| 25.2b | 3 | y |
| 23.3b | 3 | z |
Compiled 20 to 13 computations (35% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 1.0844860211597655e-102 | 3.762432762326941e-97 |
| 190.0ms | -0.007169721633182441 | -9.123885381873189e-23 |
Compiled 18 to 13 computations (27.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
z |
z |
| Outputs |
|---|
z |
3 calls:
| 8.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 38.5b | 1 | x |
| 38.5b | 1 | y |
| 38.5b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 202 |
| 1 | 74 | 202 |
| 2 | 85 | 202 |
| 3 | 91 | 202 |
| 4 | 93 | 202 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 x (-.f64 y z)) z) |
(if (<=.f64 x -4206823287302221/8589934592) (*.f64 x (-.f64 y z)) (if (<=.f64 x 4634406976467615/1152921504606846976) (+.f64 (*.f64 x y) z) (*.f64 x (-.f64 y z)))) |
(if (<=.f64 z -258316445404405/36028797018963968) (*.f64 z (-.f64 1 x)) (if (<=.f64 z 5469558390481955/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (*.f64 x (-.f64 y z)) (*.f64 z (-.f64 1 x)))) |
(if (<=.f64 y -1049232405362094540347937326351741410003124224) (*.f64 y x) (if (<=.f64 y 261865126240843292052146717835731503270841778129995665768448) (*.f64 z (-.f64 1 x)) (*.f64 y x))) |
(if (<=.f64 x -6199999999999999810010753506177804582104987671000435746832203471276948202075187389913237874176045060915145979601438055611822024301337895026678290789968716040267717364749134995072364591113190418001686207130622700499612752848069078361833472) (*.f64 y x) (if (<=.f64 x -5999999999999999613635461386578698692989932246134479986551900449718101992852751021239819260622381514752) (*.f64 z (neg.f64 x)) (if (<=.f64 x -8102325812830493/226156424291633194186662080095093570025917938800079226639565593765455331328) (*.f64 y x) (if (<=.f64 x -3549957540019451/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) z (if (<=.f64 x -4646344265404979/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 y x) (if (<=.f64 x 8478557835371091/883423532389192164791648750371459257913741948437809479060803100646309888) z (if (<=.f64 x 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (*.f64 y x) (*.f64 z (neg.f64 x))))))))) |
(if (<=.f64 z -258316445404405/36028797018963968) z (if (<=.f64 z 5469558390481955/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (*.f64 y x) z)) |
z |
| Outputs |
|---|
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 x (-.f64 y z)) z) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(if (<=.f64 x -4206823287302221/8589934592) (*.f64 x (-.f64 y z)) (if (<=.f64 x 4634406976467615/1152921504606846976) (+.f64 (*.f64 x y) z) (*.f64 x (-.f64 y z)))) |
(if (<=.f64 x -4206823287302221/8589934592) (*.f64 x (-.f64 y z)) (if (<=.f64 x 4634406976467615/1152921504606846976) (+.f64 z (*.f64 x y)) (*.f64 x (-.f64 y z)))) |
(if (<=.f64 z -258316445404405/36028797018963968) (*.f64 z (-.f64 1 x)) (if (<=.f64 z 5469558390481955/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (*.f64 x (-.f64 y z)) (*.f64 z (-.f64 1 x)))) |
(if (<=.f64 y -1049232405362094540347937326351741410003124224) (*.f64 y x) (if (<=.f64 y 261865126240843292052146717835731503270841778129995665768448) (*.f64 z (-.f64 1 x)) (*.f64 y x))) |
(if (<=.f64 y -1049232405362094540347937326351741410003124224) (*.f64 x y) (if (<=.f64 y 261865126240843292052146717835731503270841778129995665768448) (*.f64 z (-.f64 1 x)) (*.f64 x y))) |
(if (<=.f64 x -6199999999999999810010753506177804582104987671000435746832203471276948202075187389913237874176045060915145979601438055611822024301337895026678290789968716040267717364749134995072364591113190418001686207130622700499612752848069078361833472) (*.f64 y x) (if (<=.f64 x -5999999999999999613635461386578698692989932246134479986551900449718101992852751021239819260622381514752) (*.f64 z (neg.f64 x)) (if (<=.f64 x -8102325812830493/226156424291633194186662080095093570025917938800079226639565593765455331328) (*.f64 y x) (if (<=.f64 x -3549957540019451/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) z (if (<=.f64 x -4646344265404979/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 y x) (if (<=.f64 x 8478557835371091/883423532389192164791648750371459257913741948437809479060803100646309888) z (if (<=.f64 x 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (*.f64 y x) (*.f64 z (neg.f64 x))))))))) |
(if (<=.f64 x -6199999999999999810010753506177804582104987671000435746832203471276948202075187389913237874176045060915145979601438055611822024301337895026678290789968716040267717364749134995072364591113190418001686207130622700499612752848069078361833472) (*.f64 x y) (if (<=.f64 x -5999999999999999613635461386578698692989932246134479986551900449718101992852751021239819260622381514752) (*.f64 z (neg.f64 x)) (if (<=.f64 x -8102325812830493/226156424291633194186662080095093570025917938800079226639565593765455331328) (*.f64 x y) (if (<=.f64 x -3549957540019451/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) z (if (<=.f64 x -4646344265404979/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 x y) (if (<=.f64 x 8478557835371091/883423532389192164791648750371459257913741948437809479060803100646309888) z (if (<=.f64 x 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (*.f64 x y) (*.f64 z (neg.f64 x))))))))) |
(if (<=.f64 x -6199999999999999810010753506177804582104987671000435746832203471276948202075187389913237874176045060915145979601438055611822024301337895026678290789968716040267717364749134995072364591113190418001686207130622700499612752848069078361833472) (*.f64 x y) (if (<=.f64 x -5999999999999999613635461386578698692989932246134479986551900449718101992852751021239819260622381514752) (*.f64 x (neg.f64 z)) (if (<=.f64 x -8102325812830493/226156424291633194186662080095093570025917938800079226639565593765455331328) (*.f64 x y) (if (<=.f64 x -3549957540019451/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) z (if (<=.f64 x -4646344265404979/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 x y) (if (<=.f64 x 8478557835371091/883423532389192164791648750371459257913741948437809479060803100646309888) z (if (<=.f64 x 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (*.f64 x y) (*.f64 x (neg.f64 z))))))))) |
(if (<=.f64 z -258316445404405/36028797018963968) z (if (<=.f64 z 5469558390481955/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (*.f64 y x) z)) |
(if (<=.f64 z -258316445404405/36028797018963968) z (if (<=.f64 z 5469558390481955/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (*.f64 x y) z)) |
z |
Compiled 166 to 94 computations (43.4% saved)
| 1× | egg-herbie |
| 346× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 45× | distribute-rgt-in_binary64 |
| 41× | associate--r+_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 17 | 11 |
| 2 | 30 | 11 |
| 3 | 57 | 11 |
| 4 | 126 | 9 |
| 5 | 218 | 8 |
| 6 | 346 | 8 |
| 7 | 557 | 8 |
| 8 | 960 | 8 |
| 9 | 1145 | 8 |
| 10 | 1205 | 8 |
| 11 | 1215 | 8 |
| 1× | saturated |
Compiled 210 to 134 computations (36.2% saved)
Compiled 145 to 65 computations (55.2% saved)
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