Time bar (total: 7.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 8 |
| 16% | 15.6% | 81.9% | 0.1% | 2.3% | 0% | 0% | 9 |
| 22% | 21.1% | 74.5% | 0.1% | 4.3% | 0% | 0% | 10 |
| 26.6% | 25.4% | 69.8% | 0.1% | 4.7% | 0% | 0% | 11 |
| 43.2% | 39.2% | 51.6% | 0.1% | 9.1% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 1.3s | 8256× | body | 256 | valid |
| 173.0ms | 1287× | body | 256 | infinite |
| 2× | egg-herbie |
| 788× | times-frac_binary64 |
| 588× | fma-def_binary64 |
| 575× | div-sub_binary64 |
| 438× | sub-neg_binary64 |
| 312× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 76 |
| 1 | 70 | 68 |
| 2 | 179 | 60 |
| 3 | 497 | 60 |
| 4 | 1219 | 60 |
| 5 | 2867 | 52 |
| 6 | 5501 | 52 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 3/4)) z)) x)) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 3/4)) x)) y)) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 3/4)) y)) z)) |
| Outputs |
|---|
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
(+.f64 1 (/.f64 (*.f64 4 (+.f64 x (-.f64 (*.f64 y 3/4) z))) y)) |
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 3/4 x) z))) |
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 3/4 x) z) 1) |
(fma.f64 (-.f64 (fma.f64 y 3/4 x) z) (/.f64 4 y) 1) |
(+.f64 4 (*.f64 (-.f64 z x) (/.f64 -4 y))) |
(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 3/4)) z)) x)) |
(+.f64 1 (/.f64 4 (/.f64 x (-.f64 (+.f64 y (*.f64 x 3/4)) z)))) |
(+.f64 1 (*.f64 (/.f64 4 x) (-.f64 (fma.f64 x 3/4 y) z))) |
(fma.f64 (/.f64 4 x) (-.f64 (fma.f64 x 3/4 y) z) 1) |
(fma.f64 (-.f64 (fma.f64 x 3/4 y) z) (/.f64 4 x) 1) |
(fma.f64 4 (/.f64 (-.f64 (fma.f64 x 3/4 y) z) x) 1) |
(+.f64 4 (*.f64 (/.f64 4 x) (-.f64 y z))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 y z) x))) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 3/4)) x)) y)) |
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 (*.f64 y 3/4) z) x)))) |
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 3/4 z) x))) |
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 3/4 z) x) 1) |
(fma.f64 (-.f64 (fma.f64 y 3/4 z) x) (/.f64 4 y) 1) |
(fma.f64 4 (/.f64 (-.f64 (fma.f64 y 3/4 z) x) y) 1) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 z x) y))) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 3/4)) y)) z)) |
(+.f64 1 (/.f64 4 (/.f64 z (+.f64 x (-.f64 (*.f64 3/4 z) y))))) |
(+.f64 1 (*.f64 (/.f64 4 z) (-.f64 (fma.f64 3/4 z x) y))) |
(fma.f64 (/.f64 4 z) (fma.f64 3/4 z (-.f64 x y)) 1) |
(fma.f64 (-.f64 (fma.f64 3/4 z x) y) (/.f64 4 z) 1) |
(fma.f64 4 (/.f64 (-.f64 (fma.f64 3/4 z x) y) z) 1) |
(-.f64 4 (*.f64 (/.f64 4 z) (-.f64 y x))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x y) z))) |
Compiled 19 to 15 computations (21.1% saved)
| 1× | egg-herbie |
| 719× | div-sub_binary64 |
| 690× | fma-neg_binary64 |
| 598× | times-frac_binary64 |
| 477× | fma-def_binary64 |
| 273× | cancel-sign-sub-inv_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 19 |
| 1 | 25 | 17 |
| 2 | 55 | 15 |
| 3 | 140 | 15 |
| 4 | 347 | 15 |
| 5 | 746 | 11 |
| 6 | 1455 | 11 |
| 7 | 2706 | 11 |
| 8 | 4490 | 11 |
| 9 | 6728 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
| Outputs |
|---|
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
(+.f64 1 (/.f64 4 (/.f64 y (+.f64 x (-.f64 (*.f64 y 3/4) z))))) |
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 3/4 x) z))) |
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 3/4 x) z) 1) |
(fma.f64 (-.f64 (fma.f64 y 3/4 x) z) (/.f64 4 y) 1) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
Compiled 24 to 17 computations (29.2% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
| ▶ | 0.6b | (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
Compiled 27 to 20 computations (25.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 x (*.f64 y 3/4)) z) |
| ✓ | 0.0b | (+.f64 x (*.f64 y 3/4)) |
| ✓ | 0.6b | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
Compiled 57 to 37 computations (35.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | 0 | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
| 1× | batch-egg-rewrite |
| 638× | log-prod_binary64 |
| 512× | fma-def_binary64 |
| 339× | pow2_binary64 |
| 260× | fma-neg_binary64 |
| 233× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 252 | 27 |
| 2 | 3712 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
(+.f64 x (*.f64 y 3/4)) |
(-.f64 (+.f64 x (*.f64 y 3/4)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 y (fma.f64 y 3/4 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (fma.f64 y 3/4 (-.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 3/4 (-.f64 x z)) (*.f64 4 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))) 2) (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z)))) 2) (*.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (/.f64 y (fma.f64 y 3/4 (-.f64 x z))))) (/.f64 2 (sqrt.f64 (/.f64 y (fma.f64 y 3/4 (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z)))) (*.f64 (*.f64 2 (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 y 3/4 (-.f64 x z)) -4) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 4 (fma.f64 y 3/4 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) 1) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 y) (fma.f64 y 3/4 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z)))) 1) (/.f64 (*.f64 2 (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 y 3/4 (-.f64 x z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 4 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z)))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z)))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 2 (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z)))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 y)) (/.f64 (fma.f64 y 3/4 (-.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) (sqrt.f64 y)) (/.f64 4 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z)))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z)))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (/.f64 y (fma.f64 y 3/4 (-.f64 x z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (/.f64 y (fma.f64 y 3/4 (-.f64 x z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z))) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/4 (/.f64 y (fma.f64 y 3/4 (-.f64 x z)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (fma.f64 y 3/4 (-.f64 x z))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (fma.f64 y 3/4 (-.f64 x z)) y))) 1)))))) |
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#<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (cbrt.f64 (pow.f64 (fma.f64 y 3/4 (-.f64 x z)) 2)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 y 3/4 (-.f64 x z)) 2)) (cbrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 y 3/4 (-.f64 x z)) 2)) (cbrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 y 3/4 (-.f64 x z)) 2)) (cbrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y 3/4)) (cbrt.f64 (*.f64 9/16 (*.f64 y y))) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/16 (*.f64 y y))) (cbrt.f64 (*.f64 y 3/4)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 (*.f64 y 3/4) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 (*.f64 y 3/4) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (*.f64 y 3/4) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 (*.f64 y 3/4) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y 3/4 x)) (pow.f64 (cbrt.f64 (fma.f64 y 3/4 x)) 2) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y 3/4 x)) (pow.f64 (cbrt.f64 (fma.f64 y 3/4 x)) 2) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y 3/4 x)) 2) (cbrt.f64 (fma.f64 y 3/4 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y 3/4 x)) 2) (cbrt.f64 (fma.f64 y 3/4 x)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 3/4) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (fma.f64 y 3/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (sqrt.f64 (fma.f64 y 3/4 (-.f64 x z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 3/4)) (sqrt.f64 (*.f64 y 3/4)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (*.f64 y 3/4) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 (*.f64 y 3/4) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y 3/4 x)) (sqrt.f64 (fma.f64 y 3/4 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y 3/4 x)) (sqrt.f64 (fma.f64 y 3/4 x)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 3/4) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y 3/4 x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y 3/4 (+.f64 x z)) (pow.f64 (fma.f64 y 3/4 x) 2))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y 3/4 x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y 3/4 (+.f64 x z)) (pow.f64 (fma.f64 y 3/4 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y 3/4 x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y 3/4 (+.f64 x z)) (pow.f64 (fma.f64 y 3/4 x) 2))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 27/64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y 3/4) (-.f64 (*.f64 y 3/4) x) (*.f64 x x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 27/64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y 3/4) (-.f64 (*.f64 y 3/4) x) (*.f64 x x))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y 3/4 x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y 3/4 (+.f64 x z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y 3/4 x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y 3/4 (+.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y 3/4 x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y 3/4 (+.f64 x z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 9/16 (*.f64 y y))) (/.f64 1 (+.f64 x (*.f64 -3/4 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 9/16 (*.f64 y y))) (/.f64 1 (+.f64 x (*.f64 -3/4 y))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y 3/4) z)) 2) (cbrt.f64 (-.f64 (*.f64 y 3/4) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)) (fma.f64 y 3/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 y 3/4) z)) (sqrt.f64 (-.f64 (*.f64 y 3/4) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (fma.f64 y 3/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y 3/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (fma.f64 y 3/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 3/4) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y 3/4)) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y 3/4 x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y 3/4 x)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y 3/4 x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y 3/4 x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y 3/4 x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y 3/4 x)) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y 3/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/4 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/4 (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z)))))) |
| 1× | egg-herbie |
| 646× | fma-def_binary64 |
| 490× | div-sub_binary64 |
| 452× | fma-neg_binary64 |
| 354× | times-frac_binary64 |
| 341× | sub-neg_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 930 |
| 1 | 89 | 930 |
| 2 | 181 | 709 |
| 3 | 306 | 709 |
| 4 | 520 | 709 |
| 5 | 886 | 706 |
| 6 | 1702 | 706 |
| 7 | 2851 | 706 |
| 8 | 4976 | 706 |
| 9 | 6763 | 706 |
| 10 | 7813 | 706 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 (-.f64 (*.f64 3/4 y) z) y)) |
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 3/4 y) z) y)) (*.f64 4 (/.f64 x y))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 3/4 y) z) y)) (*.f64 4 (/.f64 x y))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 3/4 y) z) y)) (*.f64 4 (/.f64 x y))) |
(*.f64 4 (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(*.f64 4 (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
3 |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
3 |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (/.f64 (+.f64 (*.f64 3/4 y) x) y)) |
(+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 3/4 y) x) y)) (*.f64 -4 (/.f64 z y))) |
(+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 3/4 y) x) y)) (*.f64 -4 (/.f64 z y))) |
(+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 3/4 y) x) y)) (*.f64 -4 (/.f64 z y))) |
(*.f64 -4 (/.f64 z y)) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(*.f64 -4 (/.f64 z y)) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(*.f64 3/4 y) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
x |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
x |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
x |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
(*.f64 3/4 y) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
(*.f64 3/4 y) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 3/4 y) x) |
(-.f64 (*.f64 3/4 y) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
x |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
x |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 x z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(*.f64 3/4 y) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(*.f64 3/4 y) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(+.f64 (*.f64 3/4 y) x) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
| Outputs |
|---|
(*.f64 4 (/.f64 (-.f64 (*.f64 3/4 y) z) y)) |
(fma.f64 (/.f64 z y) -4 3) |
(fma.f64 z (/.f64 -4 y) 3) |
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 3/4 y) z) y)) (*.f64 4 (/.f64 x y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 3/4 y) z) y)) (*.f64 4 (/.f64 x y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 3/4 y) z) y)) (*.f64 4 (/.f64 x y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(*.f64 4 (/.f64 x y)) |
(/.f64 4 (/.f64 y x)) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(*.f64 4 (/.f64 x y)) |
(/.f64 4 (/.f64 y x)) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 3/4 (/.f64 z y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(*.f64 (-.f64 x z) (/.f64 4 y)) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
3 |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
3 |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 3 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(*.f64 4 (/.f64 (+.f64 (*.f64 3/4 y) x) y)) |
(*.f64 4 (/.f64 (fma.f64 3/4 y x) y)) |
(fma.f64 4 (/.f64 x y) 3) |
(+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 3/4 y) x) y)) (*.f64 -4 (/.f64 z y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 3/4 y) x) y)) (*.f64 -4 (/.f64 z y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 3/4 y) x) y)) (*.f64 -4 (/.f64 z y))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 z y) -4) |
(*.f64 z (/.f64 -4 y)) |
(/.f64 z (/.f64 y -4)) |
(/.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 z y) -4) |
(*.f64 z (/.f64 -4 y)) |
(/.f64 z (/.f64 y -4)) |
(/.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 3/4 (/.f64 x y)))) |
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 3/4 y) z) y) (/.f64 x y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 3) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 3) |
(*.f64 3/4 y) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
x |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
x |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
x |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(*.f64 3/4 y) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(*.f64 3/4 y) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(-.f64 (*.f64 3/4 y) z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
x |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
x |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 x z) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(*.f64 3/4 y) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(*.f64 3/4 y) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(-.f64 (+.f64 (*.f64 3/4 y) x) z) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(+.f64 (*.f64 3/4 y) x) |
(fma.f64 3/4 y x) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 3/4 y) x)) |
(-.f64 (fma.f64 3/4 y x) z) |
(-.f64 x (fma.f64 y -3/4 z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
Compiled 21 to 11 computations (47.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
| 1.0ms | y | @ | 0 | (fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
| 1.0ms | x | @ | 0 | (fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
| 1.0ms | z | @ | 0 | (fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
| 0.0ms | y | @ | inf | (fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
| 1× | batch-egg-rewrite |
| 973× | pow1_binary64 |
| 909× | add-log-exp_binary64 |
| 909× | log1p-expm1-u_binary64 |
| 909× | expm1-log1p-u_binary64 |
| 92× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 179 | 11 |
| 2 | 2394 | 11 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 4 y) (-.f64 x z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)) 2) (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)) (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 64) (+.f64 (*.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) (*.f64 (/.f64 4 y) (-.f64 x z))) (-.f64 16 (*.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) (*.f64 (/.f64 4 y) (-.f64 x z))) 16) (-.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 4))))))) |
| 1× | egg-herbie |
| 890× | fma-neg_binary64 |
| 559× | fma-def_binary64 |
| 259× | cancel-sign-sub-inv_binary64 |
| 139× | distribute-rgt-in_binary64 |
| 113× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 411 |
| 1 | 37 | 353 |
| 2 | 78 | 353 |
| 3 | 130 | 353 |
| 4 | 239 | 353 |
| 5 | 416 | 353 |
| 6 | 750 | 353 |
| 7 | 1210 | 353 |
| 8 | 1917 | 353 |
| 9 | 2769 | 353 |
| 10 | 3451 | 353 |
| 11 | 3623 | 353 |
| 12 | 3656 | 353 |
| 13 | 3661 | 353 |
| 14 | 3665 | 353 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
4 |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
4 |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(+.f64 4 (*.f64 -4 (/.f64 z y))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(*.f64 4 (/.f64 x y)) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(*.f64 4 (/.f64 x y)) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(*.f64 -4 (/.f64 z y)) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(*.f64 -4 (/.f64 z y)) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
| Outputs |
|---|
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
4 |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
4 |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (*.f64 -4 (/.f64 z y))) |
(+.f64 4 (/.f64 (*.f64 -4 z) y)) |
(fma.f64 -4 (/.f64 z y) 4) |
(fma.f64 z (/.f64 -4 y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(*.f64 4 (/.f64 x y)) |
(/.f64 (*.f64 4 x) y) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(*.f64 4 (/.f64 x y)) |
(/.f64 (*.f64 4 x) y) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 -4 z) y) |
(*.f64 z (/.f64 -4 y)) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 -4 z) y) |
(*.f64 z (/.f64 -4 y)) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
(+.f64 4 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))) |
(+.f64 4 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 4) |
Compiled 5367 to 3411 computations (36.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 292 | 7 | 299 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 294 | 7 | 301 |
| Status | Error | Program |
|---|---|---|
| ▶ | 26.1b | (*.f64 4 (/.f64 (-.f64 x z) y)) |
| ▶ | 46.0b | (*.f64 z (/.f64 -4 y)) |
| ▶ | 46.0b | (*.f64 -4 (/.f64 z y)) |
| ▶ | 17.4b | (+.f64 4 (*.f64 4 (/.f64 x y))) |
| ▶ | 42.6b | (/.f64 (*.f64 4 x) y) |
| 20.6b | (+.f64 4 (*.f64 -4 (/.f64 z y))) | |
| 37.7b | 4 |
Compiled 112 to 86 computations (23.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 4 (*.f64 4 (/.f64 x y))) |
| ✓ | 0.0b | (*.f64 4 (/.f64 x y)) |
Compiled 21 to 11 computations (47.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 4 (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (*.f64 4 (/.f64 x y)) |
| 1.0ms | x | @ | inf | (*.f64 4 (/.f64 x y)) |
| 1.0ms | y | @ | inf | (*.f64 4 (/.f64 x y)) |
| 1.0ms | x | @ | -inf | (*.f64 4 (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 887× | pow1_binary64 |
| 830× | add-log-exp_binary64 |
| 830× | log1p-expm1-u_binary64 |
| 830× | expm1-log1p-u_binary64 |
| 815× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 159 | 15 |
| 2 | 2159 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 x y)) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 4 (/.f64 x y) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16 (-.f64 4 (*.f64 4 (/.f64 x y)))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 4 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x y) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 4)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 4)) 2) (cbrt.f64 (fma.f64 4 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 4)) (sqrt.f64 (fma.f64 4 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (/.f64 1 (+.f64 16 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (*.f64 16 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16 (*.f64 (pow.f64 (/.f64 x y) 2) 16)) (/.f64 1 (-.f64 4 (*.f64 4 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) 1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (*.f64 16 (/.f64 x y)))) (+.f64 64 (*.f64 (pow.f64 (/.f64 x y) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4 (*.f64 4 (/.f64 x y))) (-.f64 16 (*.f64 (pow.f64 (/.f64 x y) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (+.f64 16 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (*.f64 16 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 16 (*.f64 16 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (*.f64 (pow.f64 (/.f64 x y) 2) 16)) (-.f64 4 (*.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64 (*.f64 (pow.f64 (/.f64 x y) 3) 64))) (neg.f64 (+.f64 16 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (*.f64 16 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (*.f64 (pow.f64 (/.f64 x y) 2) 16))) (neg.f64 (-.f64 4 (*.f64 4 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) 16) (-.f64 (*.f64 4 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 x y) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x y) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 4 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (/.f64 x y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16)) (cbrt.f64 (*.f64 4 (/.f64 x y))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 2) (*.f64 (sqrt.f64 (/.f64 x y)) 2) 4))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 24 |
| 1 | 9 | 24 |
| 2 | 13 | 24 |
| 3 | 17 | 24 |
| 4 | 18 | 24 |
| 1× | saturated |
| Inputs |
|---|
4 |
(*.f64 4 (/.f64 x y)) |
(*.f64 4 (/.f64 x y)) |
(*.f64 4 (/.f64 x y)) |
4 |
4 |
| Outputs |
|---|
4 |
(*.f64 4 (/.f64 x y)) |
(*.f64 4 (/.f64 x y)) |
(*.f64 4 (/.f64 x y)) |
4 |
4 |
Compiled 14 to 7 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 z (/.f64 -4 y)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 z (/.f64 -4 y)) |
| 1.0ms | z | @ | 0 | (*.f64 z (/.f64 -4 y)) |
| 1.0ms | y | @ | 0 | (*.f64 z (/.f64 -4 y)) |
| 1.0ms | z | @ | inf | (*.f64 z (/.f64 -4 y)) |
| 1.0ms | z | @ | -inf | (*.f64 z (/.f64 -4 y)) |
| 1× | batch-egg-rewrite |
| 615× | pow1_binary64 |
| 573× | add-log-exp_binary64 |
| 573× | log1p-expm1-u_binary64 |
| 573× | expm1-log1p-u_binary64 |
| 562× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1559 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (/.f64 -4 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 -4 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (*.f64 y -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z -4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -4) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -4) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 -4 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 -4 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 -4 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 -4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 -4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 -4 y)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
| Outputs |
|---|
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 z y)) |
Compiled 14 to 9 computations (35.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 x z) y) |
Compiled 22 to 8 computations (63.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x z) y) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x z) y) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 x z) y) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 x z) y) |
| 0.0ms | y | @ | inf | (/.f64 (-.f64 x z) y) |
| 1× | batch-egg-rewrite |
| 894× | pow1_binary64 |
| 835× | add-log-exp_binary64 |
| 835× | log1p-expm1-u_binary64 |
| 835× | expm1-log1p-u_binary64 |
| 816× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 138 | 7 |
| 2 | 2130 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x z) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2) (cbrt.f64 (/.f64 (-.f64 x z) y)))))) (#(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 (-.f64 x z) y)) (sqrt.f64 (/.f64 (-.f64 x z) y)))))) (#(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 (neg.f64 (-.f64 x z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x 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 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 (-.f64 x z) y)))))) (#(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 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 pow.f64 (/.f64 (-.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x 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 (-.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 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 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x z) y))))))) |
| 1× | egg-herbie |
| 186× | fma-def_binary64 |
| 172× | fma-neg_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 36× | distribute-rgt-in_binary64 |
| 32× | unsub-neg_binary64 |
Useful iterations: 10 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 246 |
| 1 | 14 | 210 |
| 2 | 24 | 210 |
| 3 | 34 | 210 |
| 4 | 47 | 210 |
| 5 | 71 | 210 |
| 6 | 119 | 210 |
| 7 | 173 | 210 |
| 8 | 249 | 210 |
| 9 | 381 | 210 |
| 10 | 637 | 156 |
| 11 | 922 | 156 |
| 12 | 983 | 156 |
| 13 | 1036 | 156 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 z y)) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 z y)) |
(neg.f64 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(*.f64 -1 (/.f64 z y)) |
(neg.f64 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(*.f64 -1 (/.f64 z y)) |
(neg.f64 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
Compiled 1255 to 737 computations (41.3% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 1 | 114 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 114 | 7 | 121 |
| Status | Error | Program |
|---|---|---|
| ✓ | 26.1b | (*.f64 4 (/.f64 (-.f64 x z) y)) |
| ✓ | 46.0b | (*.f64 z (/.f64 -4 y)) |
| ✓ | 46.0b | (*.f64 -4 (/.f64 z y)) |
| ✓ | 17.4b | (+.f64 4 (*.f64 4 (/.f64 x y))) |
| ✓ | 42.6b | (/.f64 (*.f64 4 x) y) |
| ▶ | 20.6b | (+.f64 4 (*.f64 -4 (/.f64 z y))) |
| 37.7b | 4 |
Compiled 58 to 45 computations (22.4% saved)
Compiled 22 to 12 computations (45.5% saved)
Compiled 3 to 3 computations (0% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 0 | 7 | 7 |
| Status | Error | Program |
|---|---|---|
| ✓ | 26.1b | (*.f64 4 (/.f64 (-.f64 x z) y)) |
| ✓ | 46.0b | (*.f64 z (/.f64 -4 y)) |
| ✓ | 46.0b | (*.f64 -4 (/.f64 z y)) |
| ✓ | 17.4b | (+.f64 4 (*.f64 4 (/.f64 x y))) |
| ✓ | 42.6b | (/.f64 (*.f64 4 x) y) |
| ✓ | 20.6b | (+.f64 4 (*.f64 -4 (/.f64 z y))) |
| 37.7b | 4 |
Compiled 58 to 45 computations (22.4% saved)
Compiled 3 to 3 computations (0% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 6 | 6 |
| Total | 0 | 7 | 7 |
| Status | Error | Program |
|---|---|---|
| ✓ | 26.1b | (*.f64 4 (/.f64 (-.f64 x z) y)) |
| ✓ | 46.0b | (*.f64 z (/.f64 -4 y)) |
| ✓ | 46.0b | (*.f64 -4 (/.f64 z y)) |
| ✓ | 17.4b | (+.f64 4 (*.f64 4 (/.f64 x y))) |
| ✓ | 42.6b | (/.f64 (*.f64 4 x) y) |
| ✓ | 20.6b | (+.f64 4 (*.f64 -4 (/.f64 z y))) |
| 37.7b | 4 |
Compiled 58 to 45 computations (22.4% saved)
| Inputs |
|---|
4 |
4 |
(*.f64 z (/.f64 -4 y)) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 4 x) y) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
(+.f64 4 (*.f64 -4 (/.f64 z y))) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
| Outputs |
|---|
(fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
7 calls:
| 43.0ms | (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
| 16.0ms | y |
| 14.0ms | x |
| 14.0ms | z |
| 12.0ms | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
| 0.1b | 1 | (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
| 0.1b | 1 | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
| 0.1b | 1 | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
Compiled 134 to 93 computations (30.6% saved)
| Inputs |
|---|
4 |
4 |
(*.f64 z (/.f64 -4 y)) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 4 x) y) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
(+.f64 4 (*.f64 -4 (/.f64 z y))) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
| Outputs |
|---|
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
5 calls:
| 13.0ms | x |
| 13.0ms | z |
| 13.0ms | y |
| 11.0ms | (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
| 10.0ms | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | x |
| 0.6b | 1 | y |
| 0.6b | 1 | z |
| 0.6b | 1 | (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
| 0.6b | 1 | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y) |
Compiled 96 to 67 computations (30.2% saved)
| Inputs |
|---|
4 |
4 |
(*.f64 z (/.f64 -4 y)) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 4 x) y) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
(+.f64 4 (*.f64 -4 (/.f64 z y))) |
| Outputs |
|---|
(+.f64 4 (*.f64 4 (/.f64 x y))) |
(+.f64 4 (*.f64 -4 (/.f64 z y))) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 -4 (/.f64 z y))) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 -4 (/.f64 z y))) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
3 calls:
| 107.0ms | y |
| 54.0ms | z |
| 49.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.1b | 3 | x |
| 6.3b | 9 | y |
| 6.6b | 5 | z |
Compiled 53 to 36 computations (32.1% saved)
| 8× | binary-search |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 4.343291097166859e+167 | 3.394914433892294e+173 |
| 41.0ms | 1.0684095434469317e+123 | 4.6341706522790656e+123 |
| 48.0ms | 3.609789188594275e+59 | 2.0040462063884043e+64 |
| 41.0ms | 1.607746740903345e+42 | 4.8761013143786347e+42 |
| 100.0ms | -1.7037910270426498e-85 | -4.048004425237211e-100 |
| 178.0ms | -2.5367303985835207e-55 | -2.1487396303690497e-60 |
| 42.0ms | -8.045502531107272e-8 | -2.3925423309054102e-8 |
| 47.0ms | -3.9913364410382756e+98 | -1.0103280494669297e+98 |
Compiled 440 to 340 computations (22.7% saved)
| Inputs |
|---|
4 |
4 |
(*.f64 z (/.f64 -4 y)) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 4 x) y) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
| Outputs |
|---|
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(+.f64 4 (*.f64 4 (/.f64 x y))) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
3 calls:
| 70.0ms | x |
| 52.0ms | z |
| 42.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 13.4b | 7 | x |
| 10.4b | 3 | y |
| 9.0b | 5 | z |
Compiled 46 to 32 computations (30.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 4.24678093690221e+101 | 8.543312130482361e+104 |
| 40.0ms | 6.069351854844009e+43 | 2.041775111534084e+44 |
| 39.0ms | 3.173309821691398e-59 | 2.2485128793498566e-57 |
| 39.0ms | -2.3215100153730616e+27 | -1.1124531371981533e+21 |
Compiled 22 to 17 computations (22.7% saved)
| Inputs |
|---|
4 |
4 |
(*.f64 z (/.f64 -4 y)) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 4 x) y) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
| Outputs |
|---|
4 |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
4 |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
4 |
3 calls:
| 85.0ms | x |
| 85.0ms | z |
| 48.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.7b | 9 | x |
| 13.2b | 5 | y |
| 17.1b | 9 | z |
Compiled 39 to 27 computations (30.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 1.1273240255917176e+211 | 2.417472272610528e+212 |
| 40.0ms | 2.6382168105034965e+162 | 6.568400125860625e+163 |
| 40.0ms | 1.0684095434469317e+123 | 4.6341706522790656e+123 |
| 41.0ms | -8.343911445290791e+141 | -2.6172699389763023e+137 |
Compiled 22 to 17 computations (22.7% saved)
| Inputs |
|---|
4 |
4 |
(*.f64 z (/.f64 -4 y)) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 4 x) y) |
| Outputs |
|---|
(/.f64 (*.f64 4 x) y) |
4 |
(*.f64 -4 (/.f64 z y)) |
4 |
(*.f64 -4 (/.f64 z y)) |
4 |
(*.f64 -4 (/.f64 z y)) |
4 |
(/.f64 (*.f64 4 x) y) |
4 |
(/.f64 (*.f64 4 x) y) |
3 calls:
| 93.0ms | x |
| 79.0ms | y |
| 43.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 22.9b | 11 | x |
| 25.1b | 8 | y |
| 25.5b | 5 | z |
Compiled 32 to 23 computations (28.1% saved)
| 10× | binary-search |
| Time | Left | Right |
|---|---|---|
| 124.0ms | 5.739276645616698e+155 | 9.845778558979777e+175 |
| 613.0ms | 3.037732473561059e+134 | 2.4360452861614233e+137 |
| 22.0ms | 7.707471917694893e+26 | 1.2377461414506375e+29 |
| 22.0ms | 2.561313660371476e+22 | 7.707471917694893e+26 |
| 22.0ms | 3.0658758913738793e-15 | 1.1702031193618023e-14 |
| 21.0ms | 6.223394143289802e-139 | 1.3034102455329104e-136 |
| 22.0ms | 1.3072358521577175e-166 | 3.757958986200825e-165 |
| 21.0ms | -7.750173744281532e-199 | -2.5993538714610666e-200 |
| 31.0ms | -5.4681720016314225e-92 | -1.4126115380558321e-98 |
| 41.0ms | -1.4959794045287318e+105 | -1.5420135474911203e+101 |
Compiled 288 to 245 computations (14.9% saved)
| Inputs |
|---|
4 |
4 |
(*.f64 z (/.f64 -4 y)) |
(*.f64 -4 (/.f64 z y)) |
| Outputs |
|---|
(*.f64 -4 (/.f64 z y)) |
4 |
(*.f64 -4 (/.f64 z y)) |
4 |
(*.f64 -4 (/.f64 z y)) |
3 calls:
| 137.0ms | y |
| 28.0ms | x |
| 17.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 33.5b | 7 | x |
| 30.6b | 3 | y |
| 29.2b | 5 | z |
Compiled 27 to 20 computations (25.9% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 8.543312130482361e+104 | 3.796901445247623e+118 |
| 23.0ms | 6.069351854844009e+43 | 2.041775111534084e+44 |
| 23.0ms | 3.173309821691398e-59 | 2.2485128793498566e-57 |
| 24.0ms | -2.3215100153730616e+27 | -1.1124531371981533e+21 |
Compiled 22 to 17 computations (22.7% saved)
| Inputs |
|---|
4 |
4 |
(*.f64 z (/.f64 -4 y)) |
| Outputs |
|---|
(*.f64 z (/.f64 -4 y)) |
4 |
(*.f64 z (/.f64 -4 y)) |
4 |
(*.f64 z (/.f64 -4 y)) |
3 calls:
| 149.0ms | x |
| 47.0ms | z |
| 28.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 33.6b | 7 | x |
| 30.7b | 3 | y |
| 29.3b | 5 | z |
Compiled 22 to 17 computations (22.7% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 8.543312130482361e+104 | 3.796901445247623e+118 |
| 43.0ms | 6.069351854844009e+43 | 2.041775111534084e+44 |
| 29.0ms | 3.173309821691398e-59 | 2.2485128793498566e-57 |
| 69.0ms | -2.3215100153730616e+27 | -1.1124531371981533e+21 |
Compiled 22 to 17 computations (22.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
4 |
4 |
| Outputs |
|---|
4 |
3 calls:
| 7.0ms | x |
| 7.0ms | z |
| 7.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 37.7b | 1 | x |
| 37.7b | 1 | y |
| 37.7b | 1 | z |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 491 |
| 1 | 132 | 491 |
| 2 | 137 | 491 |
| 3 | 139 | 491 |
| 4 | 140 | 491 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
(if (<=.f64 y -399133644103827560375299381600578833747116135393421909095626858485240565372358180755994581424668672) (+.f64 4 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -1519752459629755/18889465931478580854784) (+.f64 4 (*.f64 -4 (/.f64 z y))) (if (<=.f64 y -1725436586697641/6901746346790563787434755862277025452451108972170386555162524223799296) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -2019352817565217/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (+.f64 4 (*.f64 -4 (/.f64 z y))) (if (<=.f64 y 1607746740903345029194347165156790151151616) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 360978918859427498031472980989096958380847237229022367711232) (+.f64 4 (*.f64 4 (/.f64 x y))) (if (<=.f64 y 1068409543446931721897624965066522448973030438582185498499688995534073869038991584423168556398128538152151830026603018059776) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 434329109716685912921609313667669209914161536283148057959755232858917901237254487849795097148159250581096434811745971754513551547763040459148804284796051601850344931328) (+.f64 4 (*.f64 -4 (/.f64 z y))) (+.f64 4 (*.f64 4 (/.f64 x y))))))))))) |
(if (<=.f64 z -2321510015373061645265797120) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) (+.f64 4 (*.f64 4 (/.f64 x y))) (if (<=.f64 z 60693518548440088609561682826869738552950784) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 z 424678093690220985938124159299505948261431809747996336763564021974823247863676344897452383366249709568) (+.f64 4 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 (-.f64 x z) y)))))) |
(if (<=.f64 y -8343911445290791170685439679850583938083678914495322316307840864614430008823872630137027518211775720628838864577401707805392817116279683940352) 4 (if (<=.f64 y 1068409543446931721897624965066522448973030438582185498499688995534073869038991584423168556398128538152151830026603018059776) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 2638216810503496541012019254871677528559720996055309032806350534531330471447822576037418938030296106317885596137546552232343361550913881417950415010672768616235008) 4 (if (<=.f64 y 11273240255917176468795082117148214107574079398909312642318037114300734900236159752197711154347364701304403067251490781215269798899849673898949061012416641529835469321791975189803094066944161968734714109618028544) (*.f64 4 (/.f64 (-.f64 x z) y)) 4)))) |
(if (<=.f64 x -1495979404528731754017927469470919396318116593405690014654570859936973407066646204800527884605115722629120) (/.f64 (*.f64 4 x) y) (if (<=.f64 x -8026396747351889/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) 4 (if (<=.f64 x -2087268718363283/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x 8679032833164577/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) 4 (if (<=.f64 x 2086051833638983/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x 971614853481339/316912650057057350374175801344) 4 (if (<=.f64 x 25613136603714758377472) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x 770747191769489326785691648) 4 (if (<=.f64 x 309999999999999981711579465745359883529465024238273711123810796198022343180604872758000375108921327140184326569620363448548561097064448) (/.f64 (*.f64 4 x) y) (if (<=.f64 x 98000000000000000167635864885383801509998190520401347132532829260899126404251537129364850300706907934149543292086538192064978686425245881541842528692603944909396414333177561088) 4 (/.f64 (*.f64 4 x) y))))))))))) |
(if (<=.f64 z -2321510015373061645265797120) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) 4 (if (<=.f64 z 60693518548440088609561682826869738552950784) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z 854331213048236093776841357122177004242246999429873007219175479900229455413480730670316242875046372048896) 4 (*.f64 -4 (/.f64 z y)))))) |
(if (<=.f64 z -2321510015373061645265797120) (*.f64 z (/.f64 -4 y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) 4 (if (<=.f64 z 60693518548440088609561682826869738552950784) (*.f64 z (/.f64 -4 y)) (if (<=.f64 z 854331213048236093776841357122177004242246999429873007219175479900229455413480730670316242875046372048896) 4 (*.f64 z (/.f64 -4 y)))))) |
4 |
| Outputs |
|---|
(fma.f64 (/.f64 4 y) (-.f64 x z) 4) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)) |
(if (<=.f64 y -399133644103827560375299381600578833747116135393421909095626858485240565372358180755994581424668672) (+.f64 4 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -1519752459629755/18889465931478580854784) (+.f64 4 (*.f64 -4 (/.f64 z y))) (if (<=.f64 y -1725436586697641/6901746346790563787434755862277025452451108972170386555162524223799296) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -2019352817565217/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (+.f64 4 (*.f64 -4 (/.f64 z y))) (if (<=.f64 y 1607746740903345029194347165156790151151616) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 360978918859427498031472980989096958380847237229022367711232) (+.f64 4 (*.f64 4 (/.f64 x y))) (if (<=.f64 y 1068409543446931721897624965066522448973030438582185498499688995534073869038991584423168556398128538152151830026603018059776) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 434329109716685912921609313667669209914161536283148057959755232858917901237254487849795097148159250581096434811745971754513551547763040459148804284796051601850344931328) (+.f64 4 (*.f64 -4 (/.f64 z y))) (+.f64 4 (*.f64 4 (/.f64 x y))))))))))) |
(if (<=.f64 z -2321510015373061645265797120) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) (+.f64 4 (*.f64 4 (/.f64 x y))) (if (<=.f64 z 60693518548440088609561682826869738552950784) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 z 424678093690220985938124159299505948261431809747996336763564021974823247863676344897452383366249709568) (+.f64 4 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 (-.f64 x z) y)))))) |
(if (<=.f64 y -8343911445290791170685439679850583938083678914495322316307840864614430008823872630137027518211775720628838864577401707805392817116279683940352) 4 (if (<=.f64 y 1068409543446931721897624965066522448973030438582185498499688995534073869038991584423168556398128538152151830026603018059776) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 2638216810503496541012019254871677528559720996055309032806350534531330471447822576037418938030296106317885596137546552232343361550913881417950415010672768616235008) 4 (if (<=.f64 y 11273240255917176468795082117148214107574079398909312642318037114300734900236159752197711154347364701304403067251490781215269798899849673898949061012416641529835469321791975189803094066944161968734714109618028544) (*.f64 4 (/.f64 (-.f64 x z) y)) 4)))) |
(if (<=.f64 x -1495979404528731754017927469470919396318116593405690014654570859936973407066646204800527884605115722629120) (/.f64 (*.f64 4 x) y) (if (<=.f64 x -8026396747351889/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) 4 (if (<=.f64 x -2087268718363283/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x 8679032833164577/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) 4 (if (<=.f64 x 2086051833638983/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x 971614853481339/316912650057057350374175801344) 4 (if (<=.f64 x 25613136603714758377472) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x 770747191769489326785691648) 4 (if (<=.f64 x 309999999999999981711579465745359883529465024238273711123810796198022343180604872758000375108921327140184326569620363448548561097064448) (/.f64 (*.f64 4 x) y) (if (<=.f64 x 98000000000000000167635864885383801509998190520401347132532829260899126404251537129364850300706907934149543292086538192064978686425245881541842528692603944909396414333177561088) 4 (/.f64 (*.f64 4 x) y))))))))))) |
(if (<=.f64 z -2321510015373061645265797120) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) 4 (if (<=.f64 z 60693518548440088609561682826869738552950784) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z 854331213048236093776841357122177004242246999429873007219175479900229455413480730670316242875046372048896) 4 (*.f64 -4 (/.f64 z y)))))) |
(if (<=.f64 z -2321510015373061645265797120) (*.f64 z (/.f64 -4 y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) 4 (if (<=.f64 z 60693518548440088609561682826869738552950784) (*.f64 z (/.f64 -4 y)) (if (<=.f64 z 854331213048236093776841357122177004242246999429873007219175479900229455413480730670316242875046372048896) 4 (*.f64 z (/.f64 -4 y)))))) |
4 |
Compiled 369 to 245 computations (33.6% saved)
| 1× | egg-herbie |
| 719× | div-sub_binary64 |
| 690× | fma-neg_binary64 |
| 598× | times-frac_binary64 |
| 477× | fma-def_binary64 |
| 273× | cancel-sign-sub-inv_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 19 |
| 1 | 25 | 17 |
| 2 | 55 | 15 |
| 3 | 140 | 15 |
| 4 | 347 | 15 |
| 5 | 746 | 11 |
| 6 | 1455 | 11 |
| 7 | 2706 | 11 |
| 8 | 4490 | 11 |
| 9 | 6728 | 11 |
| 1× | node limit |
Compiled 343 to 264 computations (23% saved)
Compiled 345 to 213 computations (38.3% saved)
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