Time bar (total: 6.9s)
| 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 |
| 1.6% | 1.6% | 97.5% | 0.1% | 0.8% | 0% | 0% | 9 |
| 19.1% | 18.7% | 79.2% | 0.1% | 2% | 0% | 0% | 10 |
| 22.6% | 21.8% | 74.7% | 0.1% | 3.3% | 0% | 0% | 11 |
| 27.8% | 26.5% | 68.8% | 0.1% | 4.5% | 0% | 0% | 12 |
Compiled 13 to 8 computations (38.5% saved)
| 1.3s | 8256× | body | 256 | valid |
| 217.0ms | 1661× | body | 256 | infinite |
| 2× | egg-herbie |
| 916× | fma-def_binary64 |
| 686× | div-sub_binary64 |
| 541× | sub-neg_binary64 |
| 398× | unsub-neg_binary64 |
| 233× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 52 |
| 1 | 35 | 44 |
| 2 | 77 | 44 |
| 3 | 177 | 44 |
| 4 | 318 | 44 |
| 5 | 672 | 44 |
| 6 | 1329 | 44 |
| 7 | 2741 | 44 |
| 8 | 5797 | 44 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z) |
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x) |
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y) |
| Outputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z) |
(/.f64 (fma.f64 x (-.f64 z y) y) z) |
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x) |
(/.f64 (fma.f64 y (-.f64 x z) z) x) |
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y) |
(/.f64 (fma.f64 z (-.f64 y x) x) y) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 2060× | fma-neg_binary64 |
| 385× | div-sub_binary64 |
| 376× | associate-/l*_binary64 |
| 327× | distribute-neg-frac_binary64 |
| 317× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 12 | 11 |
| 2 | 25 | 11 |
| 3 | 53 | 11 |
| 4 | 101 | 11 |
| 5 | 175 | 11 |
| 6 | 299 | 11 |
| 7 | 580 | 11 |
| 8 | 1650 | 11 |
| 9 | 4884 | 11 |
| 10 | 6298 | 11 |
| 11 | 6838 | 11 |
| 12 | 7234 | 11 |
| 13 | 7430 | 11 |
| 14 | 7610 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Outputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
Compiled 20 to 9 computations (55% 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 |
|---|---|---|
| ▶ | 9.3b | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| ▶ | 9.3b | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 23 to 13 computations (43.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 y (-.f64 z x))) |
| ✓ | 0.0b | (*.f64 y (-.f64 z x)) |
| ✓ | 8.8b | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 30 to 7 computations (76.7% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 2.0ms | z | @ | -inf | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 1× | batch-egg-rewrite |
| 506× | log-prod_binary64 |
| 380× | fma-def_binary64 |
| 377× | exp-prod_binary64 |
| 375× | pow-prod-down_binary64 |
| 266× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 184 | 26 |
| 2 | 2856 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(*.f64 y (-.f64 z x)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 y (-.f64 z x) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y (-.f64 z x) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (cbrt.f64 (pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -2)) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 1) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (fma.f64 y (-.f64 z x) x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1/2) (/.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (-.f64 z x) x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 y (-.f64 z x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 x (+.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 z z (*.f64 (neg.f64 x) x))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 z x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 z x))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 (neg.f64 x) y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) (-.f64 x (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (-.f64 z x)) 2)) (/.f64 1 (-.f64 x (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (-.f64 z x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3)) (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (-.f64 z x)) 2)) (-.f64 x (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (-.f64 z x)) 2))) (neg.f64 (-.f64 x (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) (*.f64 x x)) (fma.f64 y (-.f64 z x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (-.f64 z x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (-.f64 z x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (-.f64 z x) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y (-.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))) (sqrt.f64 (log.f64 (fma.f64 y (-.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (-.f64 z x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 z x) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (-.f64 z x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (*.f64 (cbrt.f64 (-.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) (cbrt.f64 (*.f64 y (-.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (cbrt.f64 (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x))))) |
| 1× | egg-herbie |
| 1914× | fma-def_binary64 |
| 769× | div-sub_binary64 |
| 592× | fma-neg_binary64 |
| 296× | sub-neg_binary64 |
| 269× | distribute-rgt-neg-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 1089 |
| 1 | 113 | 855 |
| 2 | 234 | 774 |
| 3 | 471 | 774 |
| 4 | 1010 | 774 |
| 5 | 2409 | 774 |
| 6 | 3939 | 774 |
| 7 | 4993 | 774 |
| 8 | 6978 | 774 |
| 9 | 7512 | 774 |
| 10 | 7605 | 774 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(/.f64 x z) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
x |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
| Outputs |
|---|
y |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 (*.f64 x (+.f64 1 (neg.f64 y))) z) |
(/.f64 x (/.f64 z (-.f64 1 y))) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (/.f64 x z)) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)) |
(/.f64 (*.f64 x (+.f64 1 (neg.f64 y))) z) |
(/.f64 x (/.f64 z (-.f64 1 y))) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (/.f64 x z)) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(/.f64 x z) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(*.f64 (/.f64 y z) (-.f64 z x)) |
(*.f64 y (/.f64 (-.f64 z x) z)) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(*.f64 (/.f64 y z) (-.f64 z x)) |
(*.f64 y (/.f64 (-.f64 z x) z)) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z) |
(/.f64 (*.f64 x (+.f64 1 (neg.f64 y))) z) |
(/.f64 x (/.f64 z (-.f64 1 y))) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (/.f64 x z)) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y) |
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y) |
(fma.f64 (/.f64 (-.f64 1 y) z) x y) |
(fma.f64 (-.f64 1 y) (/.f64 x z) y) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x))) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 x (+.f64 1 (neg.f64 y))) |
(-.f64 x (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(*.f64 x (+.f64 1 (neg.f64 y))) |
(-.f64 x (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
x |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y (-.f64 z x)) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y (-.f64 z x)) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 x (+.f64 1 (neg.f64 y))) |
(-.f64 x (*.f64 y x)) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y)))) |
(fma.f64 y (-.f64 z x) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (-.f64 z x) x) |
| ✓ | 8.8b | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
Compiled 23 to 6 computations (73.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1.0ms | y | @ | -inf | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1.0ms | y | @ | inf | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1.0ms | y | @ | 0 | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 y (-.f64 z x) x) z) |
| 1× | batch-egg-rewrite |
| 937× | pow1_binary64 |
| 870× | add-log-exp_binary64 |
| 870× | log1p-expm1-u_binary64 |
| 870× | expm1-log1p-u_binary64 |
| 850× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 156 | 19 |
| 2 | 2263 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
(fma.f64 y (-.f64 z x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y (-.f64 z x) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 1) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 y (-.f64 z x) x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (-.f64 z x) x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 z x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (-.f64 z x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (-.f64 z x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (*.f64 x x)) (-.f64 (*.f64 y (-.f64 z x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x))))))) |
| 1× | egg-herbie |
| 1920× | fma-def_binary64 |
| 788× | div-sub_binary64 |
| 572× | fma-neg_binary64 |
| 299× | sub-neg_binary64 |
| 269× | distribute-rgt-neg-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 705 |
| 1 | 110 | 699 |
| 2 | 229 | 618 |
| 3 | 470 | 618 |
| 4 | 1009 | 618 |
| 5 | 2428 | 618 |
| 6 | 3960 | 618 |
| 7 | 5016 | 618 |
| 8 | 7013 | 618 |
| 9 | 7596 | 618 |
| 10 | 7696 | 618 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
y |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
x |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
| Outputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(/.f64 y (/.f64 z (-.f64 z x))) |
(*.f64 (/.f64 y z) (-.f64 z x)) |
(*.f64 (-.f64 z x) (/.f64 y z)) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(-.f64 y (*.f64 x (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(/.f64 (*.f64 y (-.f64 z x)) z) |
(/.f64 y (/.f64 z (-.f64 z x))) |
(*.f64 (/.f64 y z) (-.f64 z x)) |
(*.f64 (-.f64 z x) (/.f64 y z)) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(-.f64 y (*.f64 x (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z) |
(/.f64 (fma.f64 -1 (*.f64 x y) x) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
y |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 (fma.f64 -1 (*.f64 x y) x) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)) |
(/.f64 (fma.f64 -1 (*.f64 x y) x) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))) |
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z)) |
(fma.f64 x (/.f64 (-.f64 1 y) z) y) |
(fma.f64 (/.f64 x z) (-.f64 1 y) y) |
x |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y (-.f64 z x)) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y (-.f64 z x)) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x)))) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 z x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (-.f64 z x) x) |
Compiled 3431 to 1044 computations (69.6% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 246 | 8 | 254 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 248 | 8 | 256 |
| Status | Error | Program |
|---|---|---|
| 31.7b | (-.f64 y (*.f64 x (/.f64 y z))) | |
| 30.4b | (/.f64 (-.f64 x (*.f64 y x)) z) | |
| ▶ | 30.8b | (*.f64 (/.f64 (-.f64 1 y) z) x) |
| ▶ | 14.3b | (/.f64 (+.f64 x (*.f64 y z)) z) |
| ▶ | 34.8b | (/.f64 x z) |
| 34.3b | y | |
| ▶ | 28.0b | (*.f64 y (-.f64 1 (/.f64 x z))) |
| ▶ | 41.8b | (/.f64 (*.f64 z y) z) |
Compiled 132 to 85 computations (35.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 7.9b | (/.f64 (+.f64 x (*.f64 y z)) z) |
Compiled 21 to 6 computations (71.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (/.f64 (+.f64 x (*.f64 y z)) z) |
| 1.0ms | z | @ | -inf | (/.f64 (+.f64 x (*.f64 y z)) z) |
| 1.0ms | z | @ | inf | (/.f64 (+.f64 x (*.f64 y z)) z) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 x (*.f64 y z)) z) |
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 x (*.f64 y z)) z) |
| 1× | batch-egg-rewrite |
| 918× | pow1_binary64 |
| 853× | add-log-exp_binary64 |
| 853× | log1p-expm1-u_binary64 |
| 853× | expm1-log1p-u_binary64 |
| 834× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 154 | 8 |
| 2 | 2262 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y z)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 y z x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (*.f64 (cbrt.f64 (fma.f64 y z x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) 2) (cbrt.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (*.f64 (sqrt.f64 (fma.f64 y z x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y z x) z)) (sqrt.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y z x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y z x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y z x)) 1) (/.f64 (sqrt.f64 (fma.f64 y z x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 y z x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 y z x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 y z x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 y z x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y z x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y z x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 y z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y z x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y z x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y z x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y z x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y z x) z))))))) |
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 210 |
| 1 | 7 | 210 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
| Outputs |
|---|
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
y |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
(+.f64 y (/.f64 x z)) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 16.7b | (/.f64 (*.f64 z y) z) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 (*.f64 z y) z) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 z y) z) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 z y) z) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 z y) z) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 z y) z) |
| 1× | batch-egg-rewrite |
| 621× | pow1_binary64 |
| 577× | add-log-exp_binary64 |
| 577× | log1p-expm1-u_binary64 |
| 577× | expm1-log1p-u_binary64 |
| 564× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 106 | 7 |
| 2 | 1513 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 z (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z z) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z z) y)) 2) (cbrt.f64 (*.f64 (/.f64 z z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (*.f64 (cbrt.f64 (*.f64 z y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z z) y)) (sqrt.f64 (*.f64 (/.f64 z z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z y)) 1) (/.f64 (sqrt.f64 (*.f64 z y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 z y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 z z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 z y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 z)) (/.f64 z (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 z y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z z) y))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 24 |
| 1× | saturated |
| Inputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
| Outputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 y (-.f64 1 (/.f64 x z))) |
Compiled 22 to 10 computations (54.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (*.f64 y (-.f64 1 (/.f64 x z))) |
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 1 (/.f64 x z))) |
| 1.0ms | x | @ | inf | (*.f64 y (-.f64 1 (/.f64 x z))) |
| 1.0ms | z | @ | -inf | (*.f64 y (-.f64 1 (/.f64 x z))) |
| 1.0ms | x | @ | 0 | (*.f64 y (-.f64 1 (/.f64 x z))) |
| 1× | batch-egg-rewrite |
| 904× | pow1_binary64 |
| 837× | add-log-exp_binary64 |
| 837× | log1p-expm1-u_binary64 |
| 837× | expm1-log1p-u_binary64 |
| 820× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 167 | 10 |
| 2 | 2200 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 1 (/.f64 x z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (/.f64 (neg.f64 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x z) 3)) y) (+.f64 1 (+.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x z) 2)) y) (+.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (/.f64 x z) 3))) (+.f64 1 (+.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (/.f64 x z) 2))) (+.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 (/.f64 x z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (/.f64 x z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 (/.f64 x z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 (/.f64 x z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 (/.f64 x z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 x z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 (/.f64 x z))))))))) |
| 1× | egg-herbie |
| 380× | fma-def_binary64 |
| 182× | fma-neg_binary64 |
| 56× | cancel-sign-sub-inv_binary64 |
| 49× | associate-*r*_binary64 |
| 48× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 330 |
| 1 | 27 | 330 |
| 2 | 59 | 330 |
| 3 | 117 | 330 |
| 4 | 243 | 330 |
| 5 | 435 | 330 |
| 6 | 825 | 330 |
| 7 | 1108 | 330 |
| 8 | 1297 | 330 |
| 9 | 1416 | 330 |
| 10 | 1430 | 330 |
| 11 | 1435 | 330 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
| Outputs |
|---|
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(-.f64 y (/.f64 y (/.f64 z x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.8b | (*.f64 (/.f64 (-.f64 1 y) z) x) |
Compiled 22 to 13 computations (40.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | (*.f64 (/.f64 (-.f64 1 y) z) x) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (-.f64 1 y) z) x) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 1 y) z) x) |
| 1.0ms | z | @ | inf | (*.f64 (/.f64 (-.f64 1 y) z) x) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (-.f64 1 y) z) x) |
| 1× | batch-egg-rewrite |
| 980× | pow1_binary64 |
| 911× | add-log-exp_binary64 |
| 911× | log1p-expm1-u_binary64 |
| 911× | expm1-log1p-u_binary64 |
| 88× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 171 | 10 |
| 2 | 2349 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 1 y) z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 y) z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 y) x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 y) x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 y) x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 y) x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 y)) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 y) z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 y) z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 y) z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 y) z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 y) z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 y) z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 y) z) x))))))) |
| 1× | egg-herbie |
| 708× | fma-def_binary64 |
| 259× | fma-neg_binary64 |
| 92× | cancel-sign-sub-inv_binary64 |
| 85× | distribute-rgt-in_binary64 |
| 73× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 484 |
| 1 | 29 | 451 |
| 2 | 62 | 451 |
| 3 | 120 | 352 |
| 4 | 271 | 352 |
| 5 | 510 | 352 |
| 6 | 1138 | 352 |
| 7 | 1657 | 352 |
| 8 | 2234 | 352 |
| 9 | 2299 | 352 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
| Outputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (neg.f64 (/.f64 x z)) y) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (neg.f64 (/.f64 x z)) y) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) |
(/.f64 (fma.f64 y (neg.f64 x) x) z) |
(*.f64 x (/.f64 (-.f64 1 y) z)) |
Compiled 1288 to 558 computations (56.7% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 124 | 5 | 129 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 127 | 10 | 137 |
| Status | Error | Program |
|---|---|---|
| ▶ | 58.2b | (*.f64 x (/.f64 (neg.f64 y) z)) |
| ▶ | 6.8b | (+.f64 y (/.f64 x z)) |
| ▶ | 56.3b | (*.f64 y (/.f64 (neg.f64 x) z)) |
| ▶ | 30.4b | (/.f64 (-.f64 x (*.f64 y x)) z) |
| ✓ | 30.8b | (*.f64 (/.f64 (-.f64 1 y) z) x) |
| ✓ | 14.3b | (/.f64 (+.f64 x (*.f64 y z)) z) |
| ✓ | 34.8b | (/.f64 x z) |
| 34.3b | y | |
| ▶ | 28.0b | (-.f64 y (/.f64 y (/.f64 z x))) |
| ✓ | 41.8b | (/.f64 (*.f64 z y) z) |
Compiled 130 to 83 computations (36.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (/.f64 x z)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 y (/.f64 x z)) |
| 0.0ms | y | @ | -inf | (+.f64 y (/.f64 x z)) |
| 0.0ms | x | @ | -inf | (+.f64 y (/.f64 x z)) |
| 0.0ms | x | @ | inf | (+.f64 y (/.f64 x z)) |
| 0.0ms | y | @ | inf | (+.f64 y (/.f64 x z)) |
| 1× | batch-egg-rewrite |
| 808× | pow1_binary64 |
| 752× | add-log-exp_binary64 |
| 752× | log1p-expm1-u_binary64 |
| 752× | expm1-log1p-u_binary64 |
| 735× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 134 | 7 |
| 2 | 1991 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 y (/.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) 2) (-.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) (cbrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) 2)) (cbrt.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) (sqrt.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)) (/.f64 1 (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)) (/.f64 1 (-.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y))) (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)) (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (*.f64 y y) (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)) (-.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))) (neg.f64 (-.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y y)) (-.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 x z)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 21 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
y |
y |
y |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
y |
y |
| Outputs |
|---|
(/.f64 x z) |
y |
y |
y |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
y |
y |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.9b | (*.f64 x (/.f64 (neg.f64 y) z)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 x (/.f64 (neg.f64 y) z)) |
| 1.0ms | z | @ | 0 | (*.f64 x (/.f64 (neg.f64 y) z)) |
| 1.0ms | y | @ | 0 | (*.f64 x (/.f64 (neg.f64 y) z)) |
| 1.0ms | z | @ | inf | (*.f64 x (/.f64 (neg.f64 y) z)) |
| 1.0ms | y | @ | inf | (*.f64 x (/.f64 (neg.f64 y) z)) |
| 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 y) z)) |
| 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 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x y)))))) (#(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 (*.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (cbrt.f64 (*.f64 z z))) (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 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 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 (pow.f64 (exp.f64 (/.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 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 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.7b | (*.f64 y (/.f64 (neg.f64 x) z)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 y (/.f64 (neg.f64 x) z)) |
| 0.0ms | x | @ | inf | (*.f64 y (/.f64 (neg.f64 x) z)) |
| 0.0ms | y | @ | inf | (*.f64 y (/.f64 (neg.f64 x) z)) |
| 0.0ms | z | @ | 0 | (*.f64 y (/.f64 (neg.f64 x) z)) |
| 0.0ms | z | @ | inf | (*.f64 y (/.f64 (neg.f64 x) z)) |
| 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 y (/.f64 (neg.f64 x) z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x 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 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x 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 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 y (/.f64 y (/.f64 z x))) |
| ✓ | 2.3b | (/.f64 y (/.f64 z x)) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (-.f64 y (/.f64 y (/.f64 z x))) |
| 1.0ms | y | @ | 0 | (/.f64 y (/.f64 z x)) |
| 1.0ms | y | @ | -inf | (-.f64 y (/.f64 y (/.f64 z x))) |
| 0.0ms | x | @ | -inf | (-.f64 y (/.f64 y (/.f64 z x))) |
| 0.0ms | y | @ | 0 | (-.f64 y (/.f64 y (/.f64 z x))) |
| 1× | batch-egg-rewrite |
| 710× | prod-diff_binary64 |
| 490× | log-prod_binary64 |
| 271× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
| 223× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 163 | 17 |
| 2 | 2599 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 z x)) |
(-.f64 y (/.f64 y (/.f64 z x))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 388× | fma-def_binary64 |
| 153× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 51× | associate-*r*_binary64 |
| 51× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 582 |
| 1 | 41 | 582 |
| 2 | 86 | 582 |
| 3 | 180 | 582 |
| 4 | 286 | 582 |
| 5 | 497 | 582 |
| 6 | 876 | 582 |
| 7 | 1038 | 582 |
| 8 | 1227 | 582 |
| 9 | 1350 | 582 |
| 10 | 1355 | 582 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) |
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) |
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) |
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
| Outputs |
|---|
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 (-.f64 1 (/.f64 x z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 (*.f64 y x) z)) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
y |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 (*.f64 y x) z)) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 (*.f64 y x) z)) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(-.f64 y (*.f64 (/.f64 y z) x)) |
(-.f64 y (*.f64 y (/.f64 x z))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 y x)) |
| ✓ | 2.7b | (/.f64 (-.f64 x (*.f64 y x)) z) |
Compiled 21 to 6 computations (71.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (-.f64 x (*.f64 y x)) z) |
| 2.0ms | x | @ | -inf | (/.f64 (-.f64 x (*.f64 y x)) z) |
| 1.0ms | z | @ | 0 | (/.f64 (-.f64 x (*.f64 y x)) z) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x (*.f64 y x)) z) |
| 1.0ms | z | @ | -inf | (/.f64 (-.f64 x (*.f64 y x)) z) |
| 1× | batch-egg-rewrite |
| 865× | prod-diff_binary64 |
| 478× | log-prod_binary64 |
| 281× | pow-prod-down_binary64 |
| 239× | fma-def_binary64 |
| 231× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 161 | 17 |
| 2 | 2501 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x (*.f64 y x)) z) |
(-.f64 x (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (*.f64 x y)) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) (sqrt.f64 (/.f64 x (/.f64 z y))) (/.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (*.f64 x y)) z) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x (sqrt.f64 z)) (/.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (*.f64 x y)) z) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (/.f64 y (sqrt.f64 z)) (/.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (*.f64 x y)) z) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 z))) (/.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 z)) (/.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (neg.f64 (/.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x (*.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 z) (neg.f64 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| 1× | egg-herbie |
| 798× | fma-def_binary64 |
| 286× | fma-neg_binary64 |
| 91× | cancel-sign-sub-inv_binary64 |
| 81× | distribute-rgt-in_binary64 |
| 80× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 392 |
| 1 | 43 | 392 |
| 2 | 83 | 392 |
| 3 | 169 | 392 |
| 4 | 331 | 392 |
| 5 | 632 | 392 |
| 6 | 1406 | 392 |
| 7 | 1852 | 392 |
| 8 | 2378 | 392 |
| 9 | 2396 | 392 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (-.f64 1 y) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 (neg.f64 y) x) z) |
(/.f64 (*.f64 y (neg.f64 x)) z) |
(/.f64 y (/.f64 z (neg.f64 x))) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 (neg.f64 y) x) z) |
(/.f64 (*.f64 y (neg.f64 x)) z) |
(/.f64 y (/.f64 z (neg.f64 x))) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z)) |
(/.f64 (-.f64 1 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (-.f64 1 y)) |
(/.f64 (*.f64 x (-.f64 1 y)) z) |
(/.f64 (fma.f64 x (neg.f64 y) x) z) |
(*.f64 (-.f64 1 y) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (-.f64 1 y) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1 y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 x (neg.f64 y) x) |
Compiled 20039 to 6245 computations (68.8% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 746 | 1 | 747 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 747 | 10 | 757 |
| Status | Error | Program |
|---|---|---|
| ✓ | 56.3b | (*.f64 y (/.f64 (neg.f64 x) z)) |
| ✓ | 30.4b | (/.f64 (-.f64 x (*.f64 y x)) z) |
| ▶ | 58.0b | (/.f64 (*.f64 y x) (neg.f64 z)) |
| ✓ | 30.8b | (*.f64 (/.f64 (-.f64 1 y) z) x) |
| ✓ | 14.3b | (/.f64 (+.f64 x (*.f64 y z)) z) |
| ✓ | 34.8b | (/.f64 x z) |
| ✓ | 6.8b | (+.f64 y (/.f64 x z)) |
| 34.3b | y | |
| ✓ | 28.0b | (-.f64 y (/.f64 y (/.f64 z x))) |
| ✓ | 41.8b | (/.f64 (*.f64 z y) z) |
Compiled 84 to 54 computations (35.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.5b | (/.f64 (*.f64 y x) (neg.f64 z)) |
Compiled 17 to 6 computations (64.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 y x) (neg.f64 z)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y x) (neg.f64 z)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y x) (neg.f64 z)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 y x) (neg.f64 z)) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 y x) (neg.f64 z)) |
| 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 y x) (neg.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 z x))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 z x))) 2) (cbrt.f64 (/.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 z x))) (sqrt.f64 (/.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) 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)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y -1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) -1) (/.f64 (cbrt.f64 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) -1) (/.f64 (sqrt.f64 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 z x)) 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 expm1.f64 (log1p.f64 (/.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 z x)))))))) |
| 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 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) z) |
(*.f64 (neg.f64 (/.f64 y z)) x) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (neg.f64 (/.f64 x z))) |
Compiled 464 to 173 computations (62.7% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 0 | 48 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 48 | 10 | 58 |
| Status | Error | Program |
|---|---|---|
| ✓ | 56.3b | (*.f64 y (/.f64 (neg.f64 x) z)) |
| ✓ | 30.4b | (/.f64 (-.f64 x (*.f64 y x)) z) |
| ✓ | 58.0b | (/.f64 (*.f64 y x) (neg.f64 z)) |
| ✓ | 30.8b | (*.f64 (/.f64 (-.f64 1 y) z) x) |
| ✓ | 14.3b | (/.f64 (+.f64 x (*.f64 y z)) z) |
| ✓ | 34.8b | (/.f64 x z) |
| ✓ | 6.8b | (+.f64 y (/.f64 x z)) |
| 34.3b | y | |
| ✓ | 28.0b | (-.f64 y (/.f64 y (/.f64 z x))) |
| ✓ | 41.8b | (/.f64 (*.f64 z y) z) |
Compiled 84 to 54 computations (35.7% saved)
| Inputs |
|---|
y |
y |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(/.f64 (*.f64 z y) z) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(-.f64 y (*.f64 x (/.f64 y z))) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (+.f64 x (*.f64 y z)) z) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
| Outputs |
|---|
(*.f64 y (-.f64 1 (/.f64 x z))) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(-.f64 y (/.f64 y (/.f64 z x))) |
4 calls:
| 45.0ms | y |
| 42.0ms | z |
| 36.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 1 | x |
| 0.0b | 3 | y |
| 1.9b | 3 | z |
| 0.1b | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 119 to 56 computations (52.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 4826.098050193442 | 23420449810.30615 |
| 31.0ms | -2.7554819120586757e+29 | -7.868410326509295e+26 |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
y |
y |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(/.f64 (*.f64 z y) z) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(-.f64 y (*.f64 x (/.f64 y z))) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (+.f64 x (*.f64 y z)) z) |
(*.f64 y (-.f64 1 (/.f64 x z))) |
| Outputs |
|---|
(*.f64 y (-.f64 1 (/.f64 x z))) |
(+.f64 y (/.f64 x z)) |
(-.f64 y (/.f64 y (/.f64 z x))) |
3 calls:
| 37.0ms | y |
| 14.0ms | z |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 1 | x |
| 0.6b | 3 | y |
| 6.8b | 1 | z |
Compiled 90 to 43 computations (52.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.5843370279821308e-10 | 0.006133972431745718 |
| 30.0ms | -899998.0369466165 | -119407.36770939156 |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
y |
y |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(/.f64 (*.f64 z y) z) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(-.f64 y (/.f64 y (/.f64 z x))) |
(-.f64 y (*.f64 x (/.f64 y z))) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(*.f64 (/.f64 (-.f64 1 y) z) x) |
(/.f64 (+.f64 x (*.f64 y z)) z) |
| Outputs |
|---|
(-.f64 y (/.f64 y (/.f64 z x))) |
(+.f64 y (/.f64 x z)) |
(-.f64 y (/.f64 y (/.f64 z x))) |
3 calls:
| 35.0ms | y |
| 14.0ms | z |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 1 | x |
| 0.6b | 3 | y |
| 6.8b | 1 | z |
Compiled 83 to 40 computations (51.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 1.5843370279821308e-10 | 0.006133972431745718 |
| 30.0ms | -899998.0369466165 | -119407.36770939156 |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
y |
y |
(/.f64 x z) |
(+.f64 y (/.f64 x z)) |
(/.f64 (*.f64 z y) z) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(*.f64 x (/.f64 (neg.f64 y) z)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
| Outputs |
|---|
(+.f64 y (/.f64 x z)) |
3 calls:
| 10.0ms | y |
| 10.0ms | x |
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 1 | x |
| 6.8b | 1 | y |
| 6.8b | 1 | z |
Compiled 48 to 25 computations (47.9% saved)
| Inputs |
|---|
y |
y |
(/.f64 x z) |
| Outputs |
|---|
y |
(/.f64 x z) |
y |
3 calls:
| 28.0ms | z |
| 22.0ms | x |
| 17.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 24.8b | 3 | x |
| 16.7b | 3 | y |
| 19.7b | 5 | z |
Compiled 20 to 13 computations (35% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 1.1819472873606644e-15 | 5.228624491839982e-15 |
| 31.0ms | -4.085935328852498e-111 | -2.1202233611797144e-112 |
Compiled 18 to 12 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
y |
y |
| Outputs |
|---|
y |
3 calls:
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 34.3b | 1 | x |
| 34.3b | 1 | y |
| 34.3b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 9× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 149 |
| 1 | 48 | 149 |
| 2 | 61 | 149 |
| 3 | 69 | 149 |
| 4 | 74 | 149 |
| 5 | 75 | 149 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y -275548191205867573395100532736) (*.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 5306350922974771/1099511627776) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (-.f64 y (/.f64 y (/.f64 z x))))) |
(if (<=.f64 y -7730924270299835/8589934592) (*.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 3064553504158565/19342813113834066795298816) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 y (/.f64 z x))))) |
(if (<=.f64 y -7730924270299835/8589934592) (-.f64 y (/.f64 y (/.f64 z x))) (if (<=.f64 y 3064553504158565/19342813113834066795298816) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 y (/.f64 z x))))) |
(+.f64 y (/.f64 x z)) |
(if (<=.f64 y -5531713407444769/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) y (if (<=.f64 y 5993184753043495/5070602400912917605986812821504) (/.f64 x z) y)) |
y |
| Outputs |
|---|
(if (<=.f64 y -275548191205867573395100532736) (*.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 5306350922974771/1099511627776) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (-.f64 y (/.f64 y (/.f64 z x))))) |
(if (<=.f64 y -7730924270299835/8589934592) (*.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 3064553504158565/19342813113834066795298816) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 y (/.f64 z x))))) |
(if (<=.f64 y -7730924270299835/8589934592) (-.f64 y (/.f64 y (/.f64 z x))) (if (<=.f64 y 3064553504158565/19342813113834066795298816) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 y (/.f64 z x))))) |
(+.f64 y (/.f64 x z)) |
(if (<=.f64 y -5531713407444769/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) y (if (<=.f64 y 5993184753043495/5070602400912917605986812821504) (/.f64 x z) y)) |
y |
Compiled 122 to 69 computations (43.4% saved)
| 3× | egg-herbie |
| 1914× | fma-def_binary64 |
| 1914× | fma-def_binary64 |
| 769× | div-sub_binary64 |
| 769× | div-sub_binary64 |
| 592× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 1089 |
| 1 | 113 | 855 |
| 2 | 234 | 774 |
| 3 | 471 | 774 |
| 4 | 1010 | 774 |
| 5 | 2409 | 774 |
| 6 | 3939 | 774 |
| 7 | 4993 | 774 |
| 8 | 6978 | 774 |
| 9 | 7512 | 774 |
| 10 | 7605 | 774 |
| 0 | 46 | 1089 |
| 1 | 113 | 855 |
| 2 | 234 | 774 |
| 3 | 471 | 774 |
| 4 | 1010 | 774 |
| 5 | 2409 | 774 |
| 6 | 3939 | 774 |
| 7 | 4993 | 774 |
| 8 | 6978 | 774 |
| 9 | 7512 | 774 |
| 10 | 7605 | 774 |
| 0 | 13 | 330 |
| 1 | 27 | 330 |
| 2 | 59 | 330 |
| 3 | 117 | 330 |
| 4 | 243 | 330 |
| 5 | 435 | 330 |
| 6 | 825 | 330 |
| 7 | 1108 | 330 |
| 8 | 1297 | 330 |
| 9 | 1416 | 330 |
| 10 | 1430 | 330 |
| 11 | 1435 | 330 |
| 1× | saturated |
| 1× | node limit |
| 1× | node limit |
Compiled 380 to 234 computations (38.4% saved)
Compiled 107 to 42 computations (60.7% saved)
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