Time bar (total: 5.8s)
| 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 |
| 6.2% | 93.6% | 0.1% | 6 |
| 15.6% | 84.3% | 0.1% | 7 |
| 23.4% | 76.5% | 0.1% | 8 |
| 32.8% | 67.1% | 0.1% | 9 |
| 43.3% | 56.6% | 0.1% | 10 |
| 50.5% | 49.3% | 0.1% | 11 |
| 58.7% | 41.2% | 0.1% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.2s | 8254× | body | 256 | valid |
| 0.0ms | 1× | body | 1024 | valid |
| 0.0ms | 1× | body | 512 | valid |
| 2× | egg-herbie |
| 1362× | fma-neg_binary64 |
| 623× | div-sub_binary64 |
| 600× | distribute-rgt-in_binary64 |
| 383× | sub-neg_binary64 |
| 280× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 52 |
| 1 | 34 | 52 |
| 2 | 54 | 52 |
| 3 | 81 | 52 |
| 4 | 130 | 52 |
| 5 | 185 | 52 |
| 6 | 248 | 52 |
| 7 | 314 | 52 |
| 8 | 371 | 52 |
| 9 | 546 | 52 |
| 10 | 988 | 52 |
| 11 | 2656 | 52 |
| 12 | 5561 | 52 |
| 13 | 6507 | 52 |
| 14 | 6742 | 52 |
| 15 | 6816 | 52 |
| 16 | 6864 | 52 |
| 17 | 6886 | 52 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
(/.f64 (+.f64 y x) (-.f64 1 (/.f64 x z))) |
(/.f64 (+.f64 z y) (-.f64 1 (/.f64 y x))) |
(/.f64 (+.f64 x z) (-.f64 1 (/.f64 z y))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
(/.f64 (+.f64 y x) (-.f64 1 (/.f64 x z))) |
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 x z))) |
(/.f64 (+.f64 z y) (-.f64 1 (/.f64 y x))) |
(/.f64 (+.f64 y z) (-.f64 1 (/.f64 y x))) |
(/.f64 (+.f64 x z) (-.f64 1 (/.f64 z y))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 1668× | fma-neg_binary64 |
| 875× | div-sub_binary64 |
| 645× | fma-def_binary64 |
| 358× | distribute-rgt-in_binary64 |
| 316× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 14 | 13 |
| 2 | 20 | 13 |
| 3 | 28 | 13 |
| 4 | 43 | 13 |
| 5 | 59 | 13 |
| 6 | 79 | 13 |
| 7 | 100 | 13 |
| 8 | 117 | 13 |
| 9 | 164 | 13 |
| 10 | 229 | 13 |
| 11 | 314 | 13 |
| 12 | 560 | 13 |
| 13 | 1376 | 13 |
| 14 | 2891 | 13 |
| 15 | 4738 | 13 |
| 16 | 6493 | 13 |
| 17 | 7373 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
Compiled 12 to 8 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 7.4b | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
Compiled 12 to 8 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (/.f64 y z)) |
| ✓ | 7.4b | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
Compiled 27 to 11 computations (59.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
| 1.0ms | z | @ | 0 | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
| 1.0ms | y | @ | 0 | (-.f64 1 (/.f64 y z)) |
| 1.0ms | z | @ | inf | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
| 1× | batch-egg-rewrite |
| 816× | prod-diff_binary64 |
| 531× | log-prod_binary64 |
| 284× | pow2_binary64 |
| 248× | fma-def_binary64 |
| 195× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 203 | 20 |
| 2 | 3021 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
(-.f64 1 (/.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 1 (pow.f64 (/.f64 y z) 3))) (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 1 (pow.f64 (/.f64 y z) 2))) (+.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 1 (/.f64 y z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 1 (/.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2) (cbrt.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 y z))) (sqrt.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1) (-.f64 1 (pow.f64 (/.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 y z)) (-.f64 1 (pow.f64 (/.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2)) (+.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y z) 3))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2))) (neg.f64 (+.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) z) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (neg.f64 y) z) 2) (/.f64 (neg.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (neg.f64 y) z) 2)) (-.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1) (-.f64 1 (pow.f64 (/.f64 y z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 y z)) (-.f64 1 (pow.f64 (/.f64 y z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 (/.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (neg.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (neg.f64 (cbrt.f64 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (/.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 y) z)) 2) (cbrt.f64 (/.f64 (neg.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 y) z)) (sqrt.f64 (/.f64 (neg.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) 1))))) |
| 1× | egg-herbie |
| 660× | fma-def_binary64 |
| 491× | times-frac_binary64 |
| 434× | sub-neg_binary64 |
| 406× | unsub-neg_binary64 |
| 364× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1157 |
| 1 | 379 | 1111 |
| 2 | 1335 | 950 |
| 3 | 6742 | 940 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 1 (/.f64 y z))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
x |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1 (*.f64 -1 (/.f64 x z)))) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x))) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2)))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) (pow.f64 z 2)) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2))))) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (*.f64 -1 z)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) (pow.f64 z 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2)))))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))) (pow.f64 z 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))))) |
(+.f64 y x) |
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x)) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x))) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 y x)) (pow.f64 z 3)) (+.f64 y x)))) |
(+.f64 y x) |
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x)) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y x))) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 3)) (pow.f64 z 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x)))) |
1 |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
1 |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
1 |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
| Outputs |
|---|
(/.f64 y (-.f64 1 (/.f64 y z))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z)))) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z)))) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z)))) |
x |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x) |
(fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) |
(fma.f64 y (+.f64 1 (/.f64 x z)) x) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)) |
(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) (/.f64 (*.f64 y y) (/.f64 z (-.f64 1 (neg.f64 (/.f64 x z)))))) |
(+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (*.f64 (/.f64 y (/.f64 z y)) (+.f64 1 (/.f64 x z)))) |
(+.f64 x (*.f64 (+.f64 1 (/.f64 x z)) (+.f64 y (/.f64 (*.f64 y y) z)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1 (*.f64 -1 (/.f64 x z)))) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x))) |
(+.f64 (+.f64 (fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) (/.f64 (*.f64 y y) (/.f64 z (-.f64 1 (neg.f64 (/.f64 x z)))))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 z z) (-.f64 1 (neg.f64 (/.f64 x z)))))) |
(+.f64 (*.f64 (/.f64 y (/.f64 z y)) (+.f64 1 (/.f64 x z))) (+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (*.f64 (/.f64 (pow.f64 y 3) (*.f64 z z)) (+.f64 1 (/.f64 x z))))) |
(+.f64 x (fma.f64 (/.f64 (pow.f64 y 3) (*.f64 z z)) (+.f64 1 (/.f64 x z)) (*.f64 (+.f64 1 (/.f64 x z)) (+.f64 y (/.f64 (*.f64 y y) z))))) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) (/.f64 (*.f64 z z) y)) |
(-.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z y) x)) (/.f64 z (/.f64 y z))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2)))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)))) (/.f64 (*.f64 z z) y)) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 z x (*.f64 z z))) (/.f64 y (/.f64 z y))) (*.f64 (/.f64 z y) x)) z) (/.f64 z (/.f64 y z))) |
(-.f64 (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z) |
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) (pow.f64 z 2)) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2))))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (pow.f64 y 3) (*.f64 z z)))))) (/.f64 (*.f64 z z) y)) |
(-.f64 (+.f64 (/.f64 (*.f64 z (neg.f64 x)) y) (-.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z x (*.f64 z z)) (/.f64 (pow.f64 y 3) (*.f64 z z))) z)) (*.f64 (/.f64 (fma.f64 z x (*.f64 z z)) (*.f64 y y)) z))) (/.f64 z (/.f64 y z))) |
(-.f64 (*.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 y y)) (+.f64 z (*.f64 (/.f64 z y) z))) (+.f64 z (/.f64 (*.f64 z (+.f64 x z)) y))) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (*.f64 -1 z)) |
(-.f64 (*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) (/.f64 (*.f64 z z) y)) |
(-.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z y) x)) (/.f64 z (/.f64 y z))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2))))) |
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)))) (/.f64 (*.f64 z z) y)) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 z x (*.f64 z z))) (/.f64 y (/.f64 z y))) (*.f64 (/.f64 z y) x)) z) (/.f64 z (/.f64 y z))) |
(-.f64 (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) (pow.f64 z 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2)))))) |
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (pow.f64 y 3) (*.f64 z z)))))) (/.f64 (*.f64 z z) y)) |
(-.f64 (+.f64 (/.f64 (*.f64 z (neg.f64 x)) y) (-.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z x (*.f64 z z)) (/.f64 (pow.f64 y 3) (*.f64 z z))) z)) (*.f64 (/.f64 (fma.f64 z x (*.f64 z z)) (*.f64 y y)) z))) (/.f64 z (/.f64 y z))) |
(-.f64 (*.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 y y)) (+.f64 z (*.f64 (/.f64 z y) z))) (+.f64 z (/.f64 (*.f64 z (+.f64 x z)) y))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))) |
(*.f64 -1 (+.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 y x) (/.f64 y z)))) |
(neg.f64 (fma.f64 (*.f64 z z) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (+.f64 y x) y) z))) |
(*.f64 z (-.f64 (*.f64 z (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y))) (/.f64 (+.f64 y x) y))) |
(*.f64 z (-.f64 (*.f64 z (-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 y x) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)))) |
(fma.f64 -1 (*.f64 (*.f64 z z) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))) (*.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (pow.f64 z 3)) (/.f64 (+.f64 y x) (/.f64 y z))))) |
(-.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (pow.f64 z 3) (*.f64 (/.f64 (+.f64 y x) y) z))) (*.f64 z (*.f64 z (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))))) |
(fma.f64 (pow.f64 z 3) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (*.f64 z (-.f64 (*.f64 z (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y))) (/.f64 (+.f64 y x) y)))) |
(fma.f64 (pow.f64 z 3) (-.f64 (/.f64 -1 (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (*.f64 z (-.f64 (*.f64 z (-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 y x) y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))) (pow.f64 z 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))))) |
(fma.f64 -1 (*.f64 (*.f64 z z) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (pow.f64 z 3)) (*.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))) (pow.f64 z 4)) (/.f64 (+.f64 y x) (/.f64 y z)))))) |
(-.f64 (-.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))) (pow.f64 z 4) (*.f64 (/.f64 (+.f64 y x) y) z))) (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (pow.f64 z 3))) (*.f64 z (*.f64 z (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))))) |
(-.f64 (*.f64 (*.f64 z z) (-.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) (*.f64 z (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))) (fma.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))) (pow.f64 z 4) (*.f64 z (/.f64 (+.f64 y x) y)))) |
(+.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 y x) y))) (fma.f64 (pow.f64 z 3) (-.f64 (/.f64 -1 (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (*.f64 (pow.f64 z 4) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))))) |
(+.f64 y x) |
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x)) |
(+.f64 (+.f64 y x) (/.f64 y (/.f64 z (+.f64 y x)))) |
(+.f64 y (+.f64 x (*.f64 (/.f64 (+.f64 y x) z) y))) |
(*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x)) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 z (+.f64 y x))) y) (+.f64 x (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (+.f64 y x))))) |
(+.f64 (+.f64 y x) (+.f64 (*.f64 (/.f64 (+.f64 y x) z) y) (/.f64 (+.f64 y x) (*.f64 (/.f64 z y) (/.f64 z y))))) |
(+.f64 y (+.f64 x (*.f64 (/.f64 (+.f64 y x) z) (+.f64 (/.f64 (*.f64 y y) z) y)))) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 y x)) (pow.f64 z 3)) (+.f64 y x)))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (+.f64 y x))) (/.f64 y (/.f64 z (+.f64 y x)))) (+.f64 (+.f64 y x) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (+.f64 y x))))) |
(+.f64 (*.f64 (/.f64 (+.f64 y x) z) y) (+.f64 (+.f64 (+.f64 y x) (/.f64 (+.f64 y x) (*.f64 (/.f64 z y) (/.f64 z y)))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (+.f64 y x))))) |
(+.f64 (*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x)) (*.f64 (/.f64 (/.f64 (+.f64 y x) z) z) (+.f64 (*.f64 y y) (/.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y z) 3) 1) (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) z) (+.f64 (/.f64 (*.f64 y y) z) y))) |
(+.f64 y x) |
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x)) |
(+.f64 (+.f64 y x) (/.f64 y (/.f64 z (+.f64 y x)))) |
(+.f64 y (+.f64 x (*.f64 (/.f64 (+.f64 y x) z) y))) |
(*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x)) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y x))) |
(+.f64 (+.f64 (/.f64 y (/.f64 z (+.f64 y x))) y) (+.f64 x (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (+.f64 y x))))) |
(+.f64 (+.f64 y x) (+.f64 (*.f64 (/.f64 (+.f64 y x) z) y) (/.f64 (+.f64 y x) (*.f64 (/.f64 z y) (/.f64 z y))))) |
(+.f64 y (+.f64 x (*.f64 (/.f64 (+.f64 y x) z) (+.f64 (/.f64 (*.f64 y y) z) y)))) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 3)) (pow.f64 z 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x)))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (+.f64 y x))) (/.f64 y (/.f64 z (+.f64 y x)))) (+.f64 (+.f64 y x) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (+.f64 y x))))) |
(+.f64 (*.f64 (/.f64 (+.f64 y x) z) y) (+.f64 (+.f64 (+.f64 y x) (/.f64 (+.f64 y x) (*.f64 (/.f64 z y) (/.f64 z y)))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (+.f64 y x))))) |
(+.f64 (*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x)) (*.f64 (/.f64 (/.f64 (+.f64 y x) z) z) (+.f64 (*.f64 y y) (/.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y z) 3) 1) (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) z) (+.f64 (/.f64 (*.f64 y y) z) y))) |
1 |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(*.f64 -1 (/.f64 y z)) |
(neg.f64 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(*.f64 -1 (/.f64 y z)) |
(neg.f64 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(*.f64 -1 (/.f64 y z)) |
(neg.f64 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
1 |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
1 |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) 1) |
(-.f64 1 (/.f64 y z)) |
Compiled 2275 to 1112 computations (51.1% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 11 | 131 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 120 | 12 | 132 |
| Status | Error | Program |
|---|---|---|
| ▶ | 7.4b | (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y)) |
| ▶ | 27.3b | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
| 37.7b | (+.f64 y x) | |
| 46.0b | x | |
| ▶ | 39.1b | (neg.f64 z) |
| ▶ | 35.7b | (/.f64 x (-.f64 1 (/.f64 y z))) |
| 18.4b | (/.f64 (+.f64 x y) (*.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 1 (/.f64 y z))))) | |
| 33.5b | (/.f64 (+.f64 x y) (/.f64 (neg.f64 y) z)) | |
| ✓ | 7.4b | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
| 34.5b | (/.f64 y (-.f64 1 (/.f64 y z))) | |
| 29.2b | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) | |
| ▶ | 31.9b | (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
Compiled 244 to 165 computations (32.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 1 (/.f64 y z)) | |
| ✓ | 0.5b | (/.f64 1 (-.f64 1 (/.f64 y z))) |
| ✓ | 6.7b | (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y)) |
Compiled 36 to 17 computations (52.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 1 (-.f64 1 (/.f64 y z))) |
| 0.0ms | y | @ | 0 | (/.f64 1 (-.f64 1 (/.f64 y z))) |
| 0.0ms | y | @ | -inf | (/.f64 1 (-.f64 1 (/.f64 y z))) |
| 0.0ms | z | @ | 0 | (/.f64 1 (-.f64 1 (/.f64 y z))) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 591× | log-prod_binary64 |
| 411× | pow-prod-down_binary64 |
| 310× | pow2_binary64 |
| 295× | fma-def_binary64 |
| 216× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 230 | 23 |
| 2 | 3454 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y)) |
(/.f64 1 (-.f64 1 (/.f64 y z))) |
| Outputs |
|---|
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(/.f64 y z)))) (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2))) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (-.f64 1 (/.f64 y z)) -1/2)) (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2))) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (-.f64 1 (/.f64 y z)) -1/2)) (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) (/.f64 x (-.f64 1 (/.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) (pow.f64 (-.f64 1 (/.f64 y z)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) -2) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 y z) 3))) (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 y z) 2))) (+.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 1 (/.f64 y z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) z))) 1)))))) |
| 1× | egg-herbie |
| 763× | fma-def_binary64 |
| 619× | times-frac_binary64 |
| 436× | div-sub_binary64 |
| 383× | associate-/l*_binary64 |
| 302× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 1490 |
| 1 | 424 | 1426 |
| 2 | 1516 | 1169 |
| 3 | 7739 | 1160 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1 (*.f64 -1 (/.f64 x z)))) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x))) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2)))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) (pow.f64 z 2)) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2))))) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (*.f64 -1 z)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) (pow.f64 z 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2)))))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))) (pow.f64 z 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))))) |
(+.f64 y x) |
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x)) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x))) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 y x)) (pow.f64 z 3)) (+.f64 y x)))) |
(+.f64 y x) |
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x)) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y x))) |
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 3)) (pow.f64 z 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x)))) |
(/.f64 y (-.f64 1 (/.f64 y z))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z)))) |
1 |
(+.f64 1 (/.f64 y z)) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))) |
1 |
(+.f64 1 (/.f64 y z)) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))) |
1 |
(+.f64 1 (/.f64 y z)) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x) |
(fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) |
(fma.f64 y (+.f64 1 (/.f64 x z)) x) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)) |
(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) (/.f64 (*.f64 y y) (/.f64 z (-.f64 1 (neg.f64 (/.f64 x z)))))) |
(+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (*.f64 (/.f64 (*.f64 y y) z) (+.f64 1 (/.f64 x z)))) |
(+.f64 x (*.f64 (+.f64 1 (/.f64 x z)) (+.f64 y (*.f64 (/.f64 y z) y)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1 (*.f64 -1 (/.f64 x z)))) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x))) |
(+.f64 (+.f64 (fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) (/.f64 (*.f64 y y) (/.f64 z (-.f64 1 (neg.f64 (/.f64 x z)))))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 z z) (-.f64 1 (neg.f64 (/.f64 x z)))))) |
(+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (+.f64 (*.f64 (/.f64 (*.f64 y y) z) (+.f64 1 (/.f64 x z))) (*.f64 (/.f64 (pow.f64 y 3) (*.f64 z z)) (+.f64 1 (/.f64 x z))))) |
(+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (*.f64 (+.f64 1 (/.f64 x z)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 z z)) (*.f64 (/.f64 y z) y)))) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) (/.f64 (*.f64 z z) y)) |
(-.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z y) x)) (/.f64 z (/.f64 y z))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2)))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)))) (/.f64 (*.f64 z z) y)) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 x z (*.f64 z z))) (/.f64 (*.f64 y y) z)) (*.f64 (/.f64 z y) x)) z) (/.f64 z (/.f64 y z))) |
(-.f64 (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z) |
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) (pow.f64 z 2)) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2))))) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (pow.f64 y 3) (*.f64 z z)))))) (/.f64 (*.f64 z z) y)) |
(-.f64 (+.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (-.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 x z (*.f64 z z)) (*.f64 y y)) z)) (*.f64 (/.f64 (fma.f64 x z (*.f64 z z)) (pow.f64 y 3)) (*.f64 z z)))) (/.f64 z (/.f64 y z))) |
(-.f64 (*.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 z y))) (+.f64 z (/.f64 (*.f64 z (+.f64 x z)) y))) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (*.f64 -1 z)) |
(-.f64 (*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) (/.f64 (*.f64 z z) y)) |
(-.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z y) x)) (/.f64 z (/.f64 y z))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2))))) |
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)))) (/.f64 (*.f64 z z) y)) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 x z (*.f64 z z))) (/.f64 (*.f64 y y) z)) (*.f64 (/.f64 z y) x)) z) (/.f64 z (/.f64 y z))) |
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(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 y z)) (/.f64 (pow.f64 y 3) (pow.f64 z 3))) |
(+.f64 (+.f64 (/.f64 y z) (+.f64 1 (*.f64 (/.f64 y z) (/.f64 y z)))) (/.f64 (pow.f64 y 3) (pow.f64 z 3))) |
(+.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 y z)) (/.f64 y z))) (pow.f64 (/.f64 y z) 3)) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 1 (/.f64 y z)) | |
| ✓ | 3.5b | (/.f64 x (-.f64 1 (/.f64 y z))) |
Compiled 22 to 10 computations (54.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (/.f64 x (-.f64 1 (/.f64 y z))) |
| 1.0ms | x | @ | inf | (/.f64 x (-.f64 1 (/.f64 y z))) |
| 1.0ms | x | @ | 0 | (/.f64 x (-.f64 1 (/.f64 y z))) |
| 1.0ms | x | @ | -inf | (/.f64 x (-.f64 1 (/.f64 y z))) |
| 1.0ms | y | @ | -inf | (/.f64 x (-.f64 1 (/.f64 y z))) |
| 1× | batch-egg-rewrite |
| 449× | log-prod_binary64 |
| 361× | prod-diff_binary64 |
| 350× | exp-prod_binary64 |
| 279× | prod-exp_binary64 |
| 237× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 173 | 10 |
| 2 | 2407 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 1 (/.f64 y z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -2)) (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) -2) (/.f64 x (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 (/.f64 y z) 3))) (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 (/.f64 y z) 2))) (+.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 y z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 y z)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log1p.f64 (/.f64 (neg.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) z))) (*.f64 (log.f64 x) 1))))))) |
| 1× | egg-herbie |
| 744× | distribute-rgt-neg-in_binary64 |
| 627× | distribute-lft-neg-in_binary64 |
| 530× | distribute-rgt-out--_binary64 |
| 445× | associate-/l/_binary64 |
| 426× | associate-/r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 624 |
| 1 | 133 | 606 |
| 2 | 452 | 528 |
| 3 | 2264 | 435 |
| 4 | 5223 | 396 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (/.f64 (*.f64 y x) z) x) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x)) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))) |
x |
(+.f64 (/.f64 (*.f64 y x) z) x) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x)) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x))) |
x |
(+.f64 (/.f64 (*.f64 y x) z) x) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x)) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x))) |
| Outputs |
|---|
x |
(+.f64 (/.f64 (*.f64 y x) z) x) |
(+.f64 x (/.f64 (*.f64 x y) z)) |
(+.f64 x (/.f64 x (/.f64 z y))) |
(fma.f64 (/.f64 y z) x x) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x)) |
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 x (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)))) |
(+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z))) |
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x x)) |
(+.f64 x (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x))) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x))) |
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)) (+.f64 x (/.f64 (*.f64 x (pow.f64 y 3)) (pow.f64 z 3))))) |
(+.f64 (+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x)) |
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x x))) |
(+.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) x x) (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x))) |
(*.f64 (+.f64 1 (/.f64 y (*.f64 z (/.f64 z y)))) (fma.f64 (/.f64 y z) x x)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 z (/.f64 y (neg.f64 x))) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2)))) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y))))) |
(*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y))) |
(*.f64 x (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) |
(neg.f64 (fma.f64 (/.f64 z y) x (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))) |
(neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 z y))))) |
(*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) (fma.f64 -1 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 4) x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 z z)) (/.f64 y (/.f64 x y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) x)) (*.f64 (/.f64 z y) x)) |
(-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) (*.f64 x (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 4) (pow.f64 y 4))))) |
(-.f64 (*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y))) (*.f64 x (+.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) (pow.f64 (/.f64 z y) 3)))) |
(*.f64 (*.f64 x (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1))) (-.f64 -1 (*.f64 (/.f64 z y) (/.f64 z y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 z (/.f64 y (neg.f64 x))) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2)))) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y))))) |
(*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y))) |
(*.f64 x (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) |
(neg.f64 (fma.f64 (/.f64 z y) x (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))) |
(neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 z y))))) |
(*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) (fma.f64 -1 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 4) x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 z z)) (/.f64 y (/.f64 x y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) x)) (*.f64 (/.f64 z y) x)) |
(-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) (*.f64 x (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 4) (pow.f64 y 4))))) |
(-.f64 (*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y))) (*.f64 x (+.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) (pow.f64 (/.f64 z y) 3)))) |
(*.f64 (*.f64 x (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1))) (-.f64 -1 (*.f64 (/.f64 z y) (/.f64 z y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 z (/.f64 y (neg.f64 x))) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2)))) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y))))) |
(*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y))) |
(*.f64 x (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) |
(neg.f64 (fma.f64 (/.f64 z y) x (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))) |
(neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 z y))))) |
(*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) (fma.f64 -1 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 4) x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 z z)) (/.f64 y (/.f64 x y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) x)) (*.f64 (/.f64 z y) x)) |
(-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) (*.f64 x (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 4) (pow.f64 y 4))))) |
(-.f64 (*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y))) (*.f64 x (+.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) (pow.f64 (/.f64 z y) 3)))) |
(*.f64 (*.f64 x (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1))) (-.f64 -1 (*.f64 (/.f64 z y) (/.f64 z y)))) |
x |
(+.f64 (/.f64 (*.f64 y x) z) x) |
(+.f64 x (/.f64 (*.f64 x y) z)) |
(+.f64 x (/.f64 x (/.f64 z y))) |
(fma.f64 (/.f64 y z) x x) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x)) |
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 x (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)))) |
(+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z))) |
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x x)) |
(+.f64 x (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x))) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x))) |
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)) (+.f64 x (/.f64 (*.f64 x (pow.f64 y 3)) (pow.f64 z 3))))) |
(+.f64 (+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x)) |
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x x))) |
(+.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) x x) (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x))) |
(*.f64 (+.f64 1 (/.f64 y (*.f64 z (/.f64 z y)))) (fma.f64 (/.f64 y z) x x)) |
x |
(+.f64 (/.f64 (*.f64 y x) z) x) |
(+.f64 x (/.f64 (*.f64 x y) z)) |
(+.f64 x (/.f64 x (/.f64 z y))) |
(fma.f64 (/.f64 y z) x x) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x)) |
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 x (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)))) |
(+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z))) |
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x x)) |
(+.f64 x (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x))) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x))) |
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)) (+.f64 x (/.f64 (*.f64 x (pow.f64 y 3)) (pow.f64 z 3))))) |
(+.f64 (+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x)) |
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x x))) |
(+.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) x x) (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x))) |
(*.f64 (+.f64 1 (/.f64 y (*.f64 z (/.f64 z y)))) (fma.f64 (/.f64 y z) x x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 y x) y) |
| ✓ | 2.2b | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
Compiled 24 to 7 computations (70.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
| 1× | batch-egg-rewrite |
| 979× | pow1_binary64 |
| 911× | add-log-exp_binary64 |
| 910× | log1p-expm1-u_binary64 |
| 910× | expm1-log1p-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 181 | 17 |
| 2 | 2738 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(/.f64 (+.f64 y x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 y x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y x) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 y x) z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 y x) z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 y x)) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 (+.f64 y x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 (+.f64 y x) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y x) (/.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) 2) (cbrt.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y x) y)) (sqrt.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y x) y))))))) |
| 1× | egg-herbie |
| 874× | fma-neg_binary64 |
| 865× | fma-def_binary64 |
| 493× | times-frac_binary64 |
| 442× | div-sub_binary64 |
| 344× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 567 |
| 1 | 41 | 537 |
| 2 | 89 | 477 |
| 3 | 199 | 477 |
| 4 | 434 | 477 |
| 5 | 852 | 477 |
| 6 | 2006 | 477 |
| 7 | 4756 | 477 |
| 8 | 6892 | 477 |
| 9 | 7571 | 477 |
| 10 | 7812 | 477 |
| 11 | 7946 | 477 |
| 12 | 7958 | 477 |
| 13 | 7958 | 477 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 z (/.f64 x (neg.f64 y))) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 z (/.f64 x (neg.f64 y))) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 z (/.f64 x (neg.f64 y))) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 y x) z) |
| ✓ | 9.9b | (/.f64 (*.f64 (+.f64 y x) z) y) |
Compiled 31 to 9 computations (71% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (*.f64 (+.f64 y x) z) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 (+.f64 y x) z) y) |
| 0.0ms | z | @ | -inf | (*.f64 (+.f64 y x) z) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 (+.f64 y x) z) y) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 (+.f64 y x) z) y) |
| 1× | batch-egg-rewrite |
| 974× | pow1_binary64 |
| 908× | add-log-exp_binary64 |
| 908× | log1p-expm1-u_binary64 |
| 908× | expm1-log1p-u_binary64 |
| 84× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 156 | 17 |
| 2 | 2375 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 y x) z) y) |
(*.f64 (+.f64 y x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 y x) y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (/.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (+.f64 y x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 y x) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) (*.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) (sqrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (neg.f64 z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 (+.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (+.f64 y x) z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (+.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (+.f64 y x) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 y x) z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 y x) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 y x) y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) z) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 z 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 expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y x) z))))))) |
| 1× | egg-herbie |
| 87× | times-frac_binary64 |
| 52× | associate-/l*_binary64 |
| 49× | fma-def_binary64 |
| 27× | associate-/r*_binary64 |
| 25× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 372 |
| 1 | 16 | 354 |
| 2 | 27 | 318 |
| 3 | 33 | 318 |
| 4 | 39 | 318 |
| 5 | 44 | 318 |
| 6 | 50 | 318 |
| 7 | 60 | 318 |
| 8 | 100 | 318 |
| 9 | 121 | 318 |
| 10 | 193 | 318 |
| 11 | 301 | 318 |
| 12 | 369 | 318 |
| 13 | 389 | 318 |
| 14 | 417 | 318 |
| 15 | 417 | 318 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
z |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
z |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
z |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
z |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
z |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
z |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
(+.f64 z (/.f64 z (/.f64 y x))) |
(+.f64 z (*.f64 (/.f64 z y) x)) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 z (/.f64 x y) z) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
Compiled 7177 to 3458 computations (51.8% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 464 | 10 | 474 |
| Fresh | 6 | 0 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 471 | 15 | 486 |
| Status | Error | Program |
|---|---|---|
| ✓ | 7.4b | (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y)) |
| ✓ | 27.3b | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
| ▶ | 27.9b | (*.f64 -1 (+.f64 (/.f64 (*.f64 z x) y) z)) |
| ▶ | 51.0b | (*.f64 (/.f64 x y) (neg.f64 z)) |
| ✓ | 39.1b | (neg.f64 z) |
| ✓ | 35.7b | (/.f64 x (-.f64 1 (/.f64 y z))) |
| ▶ | 37.7b | (+.f64 y x) |
| 29.2b | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) | |
| 34.5b | (/.f64 y (-.f64 1 (/.f64 y z))) | |
| 51.8b | (/.f64 x (/.f64 (neg.f64 y) z)) | |
| ▶ | 32.9b | (*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
| ▶ | 50.4b | (*.f64 -1 (/.f64 (*.f64 z x) y)) |
| 51.7b | (*.f64 x (/.f64 z (neg.f64 y))) | |
| 46.0b | x | |
| ✓ | 7.4b | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
Compiled 234 to 157 computations (32.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 (*.f64 z x) y) z) |
| ✓ | 5.4b | (/.f64 (*.f64 z x) y) |
Compiled 31 to 9 computations (71% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (/.f64 (*.f64 z x) y) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 z x) y) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 z x) y) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 z x) y) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 z x) y) |
| 1× | batch-egg-rewrite |
| 967× | pow1_binary64 |
| 901× | add-log-exp_binary64 |
| 901× | log1p-expm1-u_binary64 |
| 901× | expm1-log1p-u_binary64 |
| 84× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 156 | 17 |
| 2 | 2374 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2) (cbrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) (sqrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y z)) 1)))) (#(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 pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) 1/3)))) (#(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 (*.f64 z x) (neg.f64 y)))))) (#(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 (exp.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.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 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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 z (/.f64 x (/.f64 y 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 (+.f64 z (/.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 z (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) (pow.f64 (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) 2) (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) (sqrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (pow.f64 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 (/.f64 x (/.f64 y z)) 3) (pow.f64 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 (/.f64 x (/.f64 y z)) 3) (pow.f64 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 (/.f64 x (/.f64 y z)) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (/.f64 z (/.f64 (/.f64 y z) x)))))))) (#(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 (/.f64 x (/.f64 y z)) 3) (pow.f64 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 (+.f64 z (/.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z (/.f64 x (/.f64 y z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z (/.f64 x (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 z (/.f64 x (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 z (/.f64 x (/.f64 y z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z x) (/.f64 1 y) 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 |
| 145× | fma-neg_binary64 |
| 129× | fma-def_binary64 |
| 51× | associate-/l*_binary64 |
| 47× | associate-*l*_binary64 |
| 44× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 144 |
| 1 | 34 | 144 |
| 2 | 77 | 120 |
| 3 | 175 | 120 |
| 4 | 383 | 120 |
| 5 | 721 | 120 |
| 6 | 960 | 120 |
| 7 | 1039 | 120 |
| 8 | 1053 | 120 |
| 9 | 1058 | 120 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1))) |
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1))) |
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1))) |
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1))) |
z |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
z |
z |
| Outputs |
|---|
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1))) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1))) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1))) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1))) |
(*.f64 (+.f64 1 (/.f64 x y)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 x (/.f64 z y) z) |
z |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 (/.f64 x y) z) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 (/.f64 x y) z) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 (/.f64 x y) z) |
(*.f64 x (/.f64 z y)) |
z |
z |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.0b | (*.f64 (/.f64 x y) (neg.f64 z)) |
Compiled 17 to 6 computations (64.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (neg.f64 z)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 x y) (neg.f64 z)) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 x y) (neg.f64 z)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x y) (neg.f64 z)) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 x y) (neg.f64 z)) |
| 1× | batch-egg-rewrite |
| 715× | pow1_binary64 |
| 660× | add-log-exp_binary64 |
| 659× | log1p-expm1-u_binary64 |
| 659× | expm1-log1p-u_binary64 |
| 645× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 150 | 7 |
| 2 | 2088 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (neg.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(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 (*.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 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 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 (/.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) z))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 46× | fma-neg_binary64 |
| 24× | sub-neg_binary64 |
| 18× | div-sub_binary64 |
| 14× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 324 |
| 1 | 15 | 324 |
| 2 | 35 | 324 |
| 3 | 69 | 324 |
| 4 | 114 | 324 |
| 5 | 162 | 324 |
| 6 | 202 | 324 |
| 7 | 238 | 324 |
| 8 | 275 | 324 |
| 9 | 394 | 324 |
| 10 | 445 | 324 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.4b | (/.f64 (*.f64 z x) y) |
Compiled 22 to 8 computations (63.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 7.9b | (*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
Compiled 23 to 7 computations (69.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 759× | prod-diff_binary64 |
| 472× | log-prod_binary64 |
| 378× | pow-prod-down_binary64 |
| 266× | egg-rr |
| 231× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 187 | 10 |
| 2 | 3084 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
| Outputs |
|---|
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(sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z y)) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x z) y) 1 (*.f64 (*.f64 y (/.f64 z y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 2) (cbrt.f64 (/.f64 (*.f64 x z) y)) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z y))) 2) (cbrt.f64 (*.f64 y (/.f64 z y))) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 x z) y)) (sqrt.f64 (/.f64 (*.f64 x z) y)) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (/.f64 z y))) (sqrt.f64 (*.f64 y (/.f64 z y))) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) (/.f64 1 y) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x z) (/.f64 1 y) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 y z) -2))) (cbrt.f64 (/.f64 z y)) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (/.f64 y z) -2))) (cbrt.f64 (/.f64 z y)) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (/.f64 (*.f64 x z) y)))))) |
| 1× | egg-herbie |
| 865× | fma-def_binary64 |
| 518× | fma-neg_binary64 |
| 493× | times-frac_binary64 |
| 440× | div-sub_binary64 |
| 360× | distribute-rgt-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 396 |
| 1 | 35 | 396 |
| 2 | 84 | 396 |
| 3 | 195 | 396 |
| 4 | 432 | 396 |
| 5 | 854 | 336 |
| 6 | 1984 | 336 |
| 7 | 4863 | 336 |
| 8 | 6991 | 336 |
| 9 | 7670 | 336 |
| 10 | 7911 | 336 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 x (/.f64 y (neg.f64 z))) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 x (/.f64 y (neg.f64 z))) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 x (/.f64 y (neg.f64 z))) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) |
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
Compiled 11074 to 3128 computations (71.8% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 420 | 3 | 423 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 422 | 16 | 438 |
| Status | Error | Program |
|---|---|---|
| ✓ | 7.4b | (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y)) |
| ✓ | 27.3b | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
| ▶ | 50.4b | (/.f64 (*.f64 x z) (neg.f64 y)) |
| ✓ | 27.9b | (*.f64 -1 (+.f64 (/.f64 (*.f64 z x) y) z)) |
| ✓ | 51.0b | (*.f64 (/.f64 x y) (neg.f64 z)) |
| ✓ | 39.1b | (neg.f64 z) |
| ✓ | 35.7b | (/.f64 x (-.f64 1 (/.f64 y z))) |
| ▶ | 29.2b | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
| ▶ | 61.9b | (/.f64 x (/.f64 y z)) |
| ✓ | 37.7b | (+.f64 y x) |
| 34.5b | (/.f64 y (-.f64 1 (/.f64 y z))) | |
| ▶ | 51.8b | (/.f64 x (/.f64 (neg.f64 y) z)) |
| ✓ | 32.9b | (*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
| ▶ | 51.7b | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 46.0b | x | |
| ✓ | 7.4b | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
Compiled 210 to 140 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
| ✓ | 6.6b | (/.f64 (*.f64 z (+.f64 x z)) y) |
Compiled 33 to 8 computations (75.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 z (+.f64 x z)) y) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 z (+.f64 x z)) y) |
| 1.0ms | z | @ | inf | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 z (+.f64 x z)) y) |
| 1.0ms | z | @ | -inf | (/.f64 (*.f64 z (+.f64 x z)) y) |
| 1× | batch-egg-rewrite |
| 535× | log-prod_binary64 |
| 358× | pow-prod-down_binary64 |
| 353× | fma-def_binary64 |
| 256× | pow2_binary64 |
| 205× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 213 | 23 |
| 2 | 3587 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z (+.f64 x z)) y) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) (+.f64 z x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z y) (+.f64 z x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z) (+.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 z y) (+.f64 z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 z y) 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(*.f64 (/.f64 z y) (+.f64 z x)))) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (+.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2))) (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x))))))) |
| 1× | egg-herbie |
| 596× | fma-neg_binary64 |
| 379× | div-sub_binary64 |
| 307× | distribute-rgt-out--_binary64 |
| 298× | distribute-rgt-neg-in_binary64 |
| 289× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 1194 |
| 1 | 104 | 1113 |
| 2 | 246 | 769 |
| 3 | 578 | 767 |
| 4 | 1886 | 767 |
| 5 | 4560 | 767 |
| 6 | 6971 | 767 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 z (/.f64 y z))) |
(/.f64 (+.f64 z x) (/.f64 y z)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) |
(neg.f64 (*.f64 z (+.f64 1 (/.f64 x y)))) |
(*.f64 z (+.f64 -1 (/.f64 (neg.f64 x) y))) |
(*.f64 z (-.f64 -1 (/.f64 x y))) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(neg.f64 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 (neg.f64 z) z) y) |
(/.f64 (neg.f64 z) (/.f64 y z)) |
(*.f64 (/.f64 z y) (neg.f64 z)) |
(*.f64 z (neg.f64 (/.f64 z y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(neg.f64 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 (neg.f64 z) z) y) |
(/.f64 (neg.f64 z) (/.f64 y z)) |
(*.f64 (/.f64 z y) (neg.f64 z)) |
(*.f64 z (neg.f64 (/.f64 z y))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))) |
(neg.f64 (+.f64 z (/.f64 (*.f64 z z) y))) |
(-.f64 (neg.f64 z) (/.f64 z (/.f64 y z))) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 y z)) z) |
(*.f64 z (-.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 z x)) y)) |
(/.f64 (neg.f64 z) (/.f64 y (+.f64 z x))) |
(*.f64 (/.f64 (neg.f64 z) y) (+.f64 z x)) |
(*.f64 (+.f64 z x) (neg.f64 (/.f64 z y))) |
(*.f64 (/.f64 z y) (-.f64 (neg.f64 x) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y))) |
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z)))) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.7b | (/.f64 x (/.f64 y z)) |
Compiled 14 to 5 computations (64.3% saved)
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 | z | @ | -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 |
| 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 y (*.f64 x z)) -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 expm1.f64 (log1p.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 exp.f64 (log.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 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.4b | (*.f64 x (/.f64 (neg.f64 z) y)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 0.0ms | x | @ | 0 | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 0.0ms | x | @ | -inf | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 0.0ms | z | @ | inf | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 0.0ms | y | @ | inf | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 1× | batch-egg-rewrite |
| 695× | pow1_binary64 |
| 641× | add-log-exp_binary64 |
| 640× | log1p-expm1-u_binary64 |
| 640× | expm1-log1p-u_binary64 |
| 626× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 150 | 7 |
| 2 | 2150 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (neg.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 (*.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) (cbrt.f64 (*.f64 y y))) (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 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 neg.f64 (*.f64 x (/.f64 z y)))))) (#(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 (/.f64 z y)) x))))) (#(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 expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 x (/.f64 z y)))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 46× | fma-neg_binary64 |
| 24× | sub-neg_binary64 |
| 18× | div-sub_binary64 |
| 14× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 324 |
| 1 | 15 | 324 |
| 2 | 35 | 324 |
| 3 | 69 | 324 |
| 4 | 114 | 324 |
| 5 | 162 | 324 |
| 6 | 202 | 324 |
| 7 | 238 | 324 |
| 8 | 275 | 324 |
| 9 | 394 | 324 |
| 10 | 445 | 324 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.7b | (/.f64 x (/.f64 (neg.f64 y) z)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 x (/.f64 (neg.f64 y) z)) |
| 0.0ms | x | @ | 0 | (/.f64 x (/.f64 (neg.f64 y) z)) |
| 0.0ms | x | @ | inf | (/.f64 x (/.f64 (neg.f64 y) z)) |
| 0.0ms | x | @ | -inf | (/.f64 x (/.f64 (neg.f64 y) z)) |
| 0.0ms | y | @ | 0 | (/.f64 x (/.f64 (neg.f64 y) z)) |
| 1× | batch-egg-rewrite |
| 779× | pow1_binary64 |
| 723× | add-log-exp_binary64 |
| 722× | log1p-expm1-u_binary64 |
| 722× | expm1-log1p-u_binary64 |
| 706× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 156 | 7 |
| 2 | 2428 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 (neg.f64 y) z)) |
| 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 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 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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z 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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z 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 (neg.f64 x) (/.f64 z y))))) (#(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 x y) (neg.f64 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 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 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 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 z (/.f64 x 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 (/.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 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 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (/.f64 x y)))))) (#(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 (exp.f64 (*.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 x 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 z (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 46× | fma-neg_binary64 |
| 24× | sub-neg_binary64 |
| 18× | div-sub_binary64 |
| 14× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 324 |
| 1 | 15 | 324 |
| 2 | 35 | 324 |
| 3 | 69 | 324 |
| 4 | 114 | 324 |
| 5 | 162 | 324 |
| 6 | 202 | 324 |
| 7 | 238 | 324 |
| 8 | 275 | 324 |
| 9 | 394 | 324 |
| 10 | 445 | 324 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.4b | (/.f64 (*.f64 x z) (neg.f64 y)) |
Compiled 17 to 6 computations (64.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x z) (neg.f64 y)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x z) (neg.f64 y)) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 x z) (neg.f64 y)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 x z) (neg.f64 y)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x z) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 731× | pow1_binary64 |
| 677× | add-log-exp_binary64 |
| 676× | log1p-expm1-u_binary64 |
| 676× | expm1-log1p-u_binary64 |
| 662× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 148 | 7 |
| 2 | 2173 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x z) (neg.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2) (cbrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 (cbrt.f64 (*.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) (sqrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (/.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 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x z)) 1) (/.f64 (sqrt.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z -1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) -1) (/.f64 (cbrt.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x z)) -1) (/.f64 (sqrt.f64 (*.f64 x z)) y))))) (#(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 pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 y z)))))) (#(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 (exp.f64 (/.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 (*.f64 x z) 3) (pow.f64 y 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 |
| 145× | fma-def_binary64 |
| 46× | fma-neg_binary64 |
| 24× | sub-neg_binary64 |
| 18× | div-sub_binary64 |
| 14× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 324 |
| 1 | 15 | 324 |
| 2 | 35 | 324 |
| 3 | 69 | 324 |
| 4 | 114 | 324 |
| 5 | 162 | 324 |
| 6 | 202 | 324 |
| 7 | 238 | 324 |
| 8 | 275 | 324 |
| 9 | 394 | 324 |
| 10 | 445 | 324 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
Compiled 4993 to 1279 computations (74.4% saved)
15 alts after pruning (4 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 353 | 2 | 355 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 10 | 13 |
| Total | 356 | 15 | 371 |
| Status | Error | Program |
|---|---|---|
| ✓ | 7.4b | (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y)) |
| ✓ | 27.3b | (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
| ✓ | 50.4b | (/.f64 (*.f64 x z) (neg.f64 y)) |
| ✓ | 51.0b | (*.f64 (/.f64 x y) (neg.f64 z)) |
| ✓ | 39.1b | (neg.f64 z) |
| ✓ | 35.7b | (/.f64 x (-.f64 1 (/.f64 y z))) |
| ✓ | 37.7b | (+.f64 y x) |
| ✓ | 61.9b | (/.f64 x (/.f64 y z)) |
| 39.3b | (*.f64 z (-.f64 -1 (/.f64 z y))) | |
| 46.0b | x | |
| 34.5b | (/.f64 y (-.f64 1 (/.f64 y z))) | |
| ✓ | 51.8b | (/.f64 x (/.f64 (neg.f64 y) z)) |
| ✓ | 51.7b | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 27.3b | (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) | |
| ✓ | 7.4b | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
Compiled 137 to 93 computations (32.1% saved)
| Inputs |
|---|
(/.f64 (+.f64 x y) (*.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 1 (/.f64 y z))))) |
(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y)) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y)) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 z x) y) z)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)) |
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
(-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) |
(*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y)) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(/.f64 (+.f64 x y) (/.f64 (neg.f64 y) z)) |
(*.f64 z (-.f64 -1 (/.f64 z y))) |
(/.f64 y (-.f64 1 (/.f64 y z))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(/.f64 y (-.f64 1 (/.f64 y z))) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(/.f64 x (/.f64 y z)) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 z) |
x |
x |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) |
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
4 calls:
| 37.0ms | z |
| 36.0ms | y |
| 34.0ms | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.4b | 1 | x |
| 3.8b | 3 | y |
| 2.6b | 3 | z |
| 0.1b | 3 | (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) |
Compiled 216 to 88 computations (59.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 3.913897349581129e-303 |
| 0.0ms | -1.7730367914214615e-269 | -0.0 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(*.f64 z (-.f64 -1 (/.f64 z y))) |
(/.f64 y (-.f64 1 (/.f64 y z))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(/.f64 y (-.f64 1 (/.f64 y z))) |
(/.f64 (*.f64 x z) (neg.f64 y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(/.f64 x (/.f64 y z)) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 z) |
x |
x |
| Outputs |
|---|
(*.f64 z (-.f64 -1 (/.f64 z y))) |
(/.f64 y (-.f64 1 (/.f64 y z))) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(/.f64 y (-.f64 1 (/.f64 y z))) |
(/.f64 x (-.f64 1 (/.f64 y z))) |
(/.f64 y (-.f64 1 (/.f64 y z))) |
(*.f64 z (-.f64 -1 (/.f64 z y))) |
3 calls:
| 77.0ms | z |
| 64.0ms | y |
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.4b | 3 | x |
| 16.2b | 7 | y |
| 19.9b | 9 | z |
Compiled 95 to 44 computations (53.7% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.050105478505392e+148 | 6.001398779696432e+148 |
| 19.0ms | 6.06431774746257e+32 | 5.640598741350941e+35 |
| 20.0ms | -5.916054728508837e-25 | -4.303176533475682e-26 |
| 20.0ms | -2.1513733263623225 | -0.0010879578385482843 |
| 20.0ms | -3.275429441814307e+36 | -6.64009888888035e+32 |
| 20.0ms | -6.8643516062222595e+245 | -4.330604881180307e+238 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 (*.f64 x z) (neg.f64 y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(/.f64 x (/.f64 y z)) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 z) |
x |
x |
| Outputs |
|---|
(neg.f64 z) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 y x) |
(neg.f64 z) |
3 calls:
| 208.0ms | x |
| 59.0ms | z |
| 25.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.8b | 8 | x |
| 21.1b | 4 | y |
| 22.8b | 9 | z |
Compiled 60 to 27 computations (55% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 7.2380304525131926e+81 | 7.502993279942596e+81 |
| 19.0ms | -3.1460248843520124e-103 | -1.7496588866009985e-103 |
| 43.0ms | -3.275429441814307e+36 | -6.64009888888035e+32 |
Compiled 18 to 13 computations (27.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
x |
x |
| Outputs |
|---|
x |
3 calls:
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 46.0b | 1 | x |
| 46.0b | 1 | y |
| 46.0b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 219 |
| 1 | 67 | 219 |
| 2 | 87 | 219 |
| 3 | 108 | 219 |
| 4 | 123 | 219 |
| 5 | 132 | 219 |
| 6 | 134 | 219 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))) |
(if (<=.f64 y -686435160622225949964592882937197899787627721407316383146590643060323538597041234983549945288387450587434051220346603121351365084409158048873616824657227959643797273418418267541100969005703236234286750614650430536569395557022052186447516813754368) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y -3275429441814307233024614998036447232) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y -2422231027735045/1125899906842624) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 y -6442013138722551/10889035741470030830827987437816582766592) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y 606431774746256973406693561991168) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 y 30501054785053919414150717026629336353913801314023274525199082549583386639487832521258305468142965286408959508890640202502353123950970354945004404736) (/.f64 y (-.f64 1 (/.f64 y z))) (*.f64 z (-.f64 -1 (/.f64 z y))))))))) |
(if (<=.f64 y -3275429441814307233024614998036447232) (neg.f64 z) (if (<=.f64 y -793342028718395/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (*.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 y 7238030452513192567192546666199524516908328897466785481005898954973064238561492992) (+.f64 y x) (neg.f64 z)))) |
x |
x |
| Outputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (*.f64 (/.f64 (+.f64 x y) y) (neg.f64 z)) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))) |
(if (<=.f64 y -686435160622225949964592882937197899787627721407316383146590643060323538597041234983549945288387450587434051220346603121351365084409158048873616824657227959643797273418418267541100969005703236234286750614650430536569395557022052186447516813754368) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y -3275429441814307233024614998036447232) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y -2422231027735045/1125899906842624) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 y -6442013138722551/10889035741470030830827987437816582766592) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y 606431774746256973406693561991168) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 y 30501054785053919414150717026629336353913801314023274525199082549583386639487832521258305468142965286408959508890640202502353123950970354945004404736) (/.f64 y (-.f64 1 (/.f64 y z))) (*.f64 z (-.f64 -1 (/.f64 z y))))))))) |
(if (<=.f64 y -3275429441814307233024614998036447232) (neg.f64 z) (if (<=.f64 y -793342028718395/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (*.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 y 7238030452513192567192546666199524516908328897466785481005898954973064238561492992) (+.f64 y x) (neg.f64 z)))) |
(if (<=.f64 y -3275429441814307233024614998036447232) (neg.f64 z) (if (<=.f64 y -793342028718395/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (*.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 y 7238030452513192567192546666199524516908328897466785481005898954973064238561492992) (+.f64 x y) (neg.f64 z)))) |
x |
x |
Compiled 161 to 89 computations (44.7% saved)
| 1× | egg-herbie |
| 660× | fma-def_binary64 |
| 491× | times-frac_binary64 |
| 434× | sub-neg_binary64 |
| 406× | unsub-neg_binary64 |
| 364× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1157 |
| 1 | 379 | 1111 |
| 2 | 1335 | 950 |
| 3 | 6742 | 940 |
| 1× | node limit |
Compiled 45 to 29 computations (35.6% saved)
Compiled 152 to 77 computations (49.3% saved)
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