Time bar (total: 3.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 74.9% | 25.1% | 6 |
| 6.2% | 68.6% | 25.1% | 7 |
| 9.4% | 65.5% | 25.1% | 8 |
| 14% | 35.9% | 50.1% | 9 |
| 21.1% | 28.9% | 50.1% | 10 |
| 24.6% | 25.4% | 50.1% | 11 |
| 28.7% | 21.3% | 50.1% | 12 |
| 33.4% | 16.5% | 50.1% | 13 |
| 35.8% | 14.1% | 50.1% | 14 |
Compiled 16 to 11 computations (31.3% saved)
| 1.4s | 8255× | body | 128 | valid |
| 5.0ms | 44× | body | 128 | invalid |
| 0.0ms | 1× | body | 1024 | valid |
| 2× | egg-herbie |
| 530× | sub-neg_binary64 |
| 370× | +-commutative_binary64 |
| 363× | fma-def_binary64 |
| 188× | associate-+l-_binary64 |
| 183× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 72 |
| 1 | 75 | 72 |
| 2 | 242 | 64 |
| 3 | 1062 | 64 |
| 4 | 3171 | 64 |
| 5 | 4907 | 64 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z) |
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x (-.f64 z y))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (-.f64 y z)) |
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z) |
(+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) (-.f64 x z)) |
(+.f64 x (-.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 x) (-.f64 -1/2 x) x) z)) |
(fma.f64 (log.f64 x) (-.f64 -1/2 x) (-.f64 x (-.f64 z y))) |
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x) |
(+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y x)) |
(+.f64 y (-.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) x)) |
(+.f64 z (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 z x))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y) |
(+.f64 (-.f64 x (*.f64 (+.f64 1/2 z) (log.f64 z))) (-.f64 z y)) |
(+.f64 x (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 z y))) |
(+.f64 z (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 x y))) |
(+.f64 x (-.f64 z (fma.f64 (-.f64 z -1/2) (log.f64 z) y))) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 780× | fma-neg_binary64 |
| 402× | fma-def_binary64 |
| 312× | cancel-sign-sub-inv_binary64 |
| 267× | sub-neg_binary64 |
| 242× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 25 | 18 |
| 2 | 77 | 16 |
| 3 | 312 | 16 |
| 4 | 947 | 16 |
| 5 | 2808 | 16 |
| 6 | 4404 | 16 |
| 7 | 4894 | 16 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) y)) z) |
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (-.f64 y z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| 0.1b | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
Compiled 84 to 53 computations (36.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| ✓ | 0.1b | (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | y | @ | inf | (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
| 5.0ms | y | @ | 0 | (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
| 4.0ms | y | @ | -inf | (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
| 3.0ms | x | @ | 0 | (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| 2.0ms | z | @ | 0 | (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| 1× | batch-egg-rewrite |
| 484× | fma-def_binary64 |
| 233× | fma-neg_binary64 |
| 219× | expm1-udef_binary64 |
| 219× | log1p-udef_binary64 |
| 125× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 231 | 26 |
| 2 | 3345 | 26 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 y 3)) (fma.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (*.f64 y y)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)) (/.f64 (pow.f64 (-.f64 x z) 2) (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) 2) (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3)) (/.f64 1 (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (pow.f64 (-.f64 x z) 2)) (/.f64 1 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2)) (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (pow.f64 (-.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3)) (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3)) (+.f64 (pow.f64 (-.f64 x z) 2) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 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y) (-.f64 -1/2 y) (+.f64 y x)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (*.f64 z z)) (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x z) 2) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2)) (-.f64 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (exp.f64 x)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (exp.f64 x)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (+.f64 1 (expm1.f64 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 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((x log.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (exp.f64 x)) (/.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 -1 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (neg.f64 (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 -1 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (cbrt.f64 (-.f64 x z)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 x x (*.f64 z (+.f64 x z)))) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 1 (+.f64 x z)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)))) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (sqrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (-.f64 -1/2 y))) (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 (-.f64 -1/2 y))) (sqrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))))))) |
| 1× | egg-herbie |
| 530× | sub-neg_binary64 |
| 415× | associate-+l+_binary64 |
| 378× | unsub-neg_binary64 |
| 362× | associate-+r+_binary64 |
| 290× | associate-+l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 820 |
| 1 | 143 | 738 |
| 2 | 412 | 608 |
| 3 | 1493 | 608 |
| 4 | 4450 | 608 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (log.f64 y)) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) |
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))) |
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
| Outputs |
|---|
(*.f64 -1/2 (log.f64 y)) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))) |
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))) |
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))) |
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))) |
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) |
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))) |
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))) |
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))) |
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) |
(-.f64 (fma.f64 -1/2 (log.f64 y) x) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))) |
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) |
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z) |
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) z) |
(fma.f64 (+.f64 -1/2 (neg.f64 y)) (log.f64 y) (-.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) |
(+.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) x) |
(fma.f64 (+.f64 -1/2 (neg.f64 y)) (log.f64 y) (+.f64 y x)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 6 | 131 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 126 | 7 | 133 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) | |
| 0.5b | (fma.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z))) | |
| 0.5b | (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) | |
| ✓ | 0.1b | (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| 0.5b | (fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z)) | |
| ▶ | 0.1b | (fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 33.9b | (fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
Compiled 2631 to 1354 computations (48.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| ✓ | 0.1b | (*.f64 (log.f64 y) (-.f64 -1/2 y)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (log.f64 y) (-.f64 -1/2 y)) |
| 1.0ms | x | @ | 0 | (fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 1.0ms | y | @ | inf | (*.f64 (log.f64 y) (-.f64 -1/2 y)) |
| 1.0ms | y | @ | -inf | (*.f64 (log.f64 y) (-.f64 -1/2 y)) |
| 1.0ms | y | @ | -inf | (fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 1× | batch-egg-rewrite |
| 517× | fma-def_binary64 |
| 251× | fma-neg_binary64 |
| 240× | expm1-udef_binary64 |
| 240× | log1p-udef_binary64 |
| 137× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 262 | 25 |
| 2 | 3606 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 y)) (*.f64 (neg.f64 y) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (log.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) (log.f64 y)) (fma.f64 y (+.f64 y -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (-.f64 -1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (-.f64 -1/2 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (-.f64 -1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -1/2 y) 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) -1/2 (*.f64 (log.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (log.f64 y) (*.f64 (neg.f64 y) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (-.f64 -1/2 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y) 2)) (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)) (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 (+.f64 y (-.f64 x z)) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (-.f64 (pow.f64 (+.f64 y (-.f64 x z)) 2) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (pow.f64 (+.f64 y (-.f64 x z)) 2)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y (-.f64 -1/2 y)) (exp.f64 (+.f64 y (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y))))))) |
| 1× | egg-herbie |
| 422× | associate-+l+_binary64 |
| 355× | associate-+r+_binary64 |
| 349× | fma-neg_binary64 |
| 347× | associate-+l-_binary64 |
| 310× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 796 |
| 1 | 168 | 673 |
| 2 | 502 | 597 |
| 3 | 1647 | 597 |
| 4 | 4938 | 597 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (log.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(*.f64 y (log.f64 (/.f64 1 y))) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
| Outputs |
|---|
(*.f64 -1/2 (log.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 -1 (*.f64 y (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 -1 (*.f64 y (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 -1 (*.f64 y (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(*.f64 y (log.f64 (/.f64 1 y))) |
(*.f64 y (neg.f64 (log.f64 y))) |
(*.f64 (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1 (*.f64 y (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1 (*.f64 y (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1 (*.f64 y (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(*.f64 y (neg.f64 (log.f64 y))) |
(*.f64 (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(fma.f64 -1 (*.f64 y (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(fma.f64 -1 (*.f64 y (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(fma.f64 -1 (*.f64 y (log.f64 y)) (*.f64 -1/2 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) |
(-.f64 (fma.f64 -1/2 (log.f64 y) x) z) |
(fma.f64 -1/2 (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))) |
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) |
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z) |
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) z) |
(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) |
(+.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) x) |
(fma.f64 (+.f64 -1/2 (neg.f64 y)) (log.f64 y) (+.f64 y x)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 x z)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 72 | 2 | 74 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 74 | 7 | 81 |
| Status | Error | Program |
|---|---|---|
| 14.3b | (fma.f64 1 (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (+.f64 y -1/2)) (+.f64 y (-.f64 x z))) | |
| ▶ | 0.5b | (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| ✓ | 0.1b | (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| 0.5b | (fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) | |
| 0.5b | (fma.f64 1 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3) (+.f64 y (-.f64 x z))) | |
| ✓ | 0.1b | (fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 33.9b | (fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
Compiled 1385 to 740 computations (46.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) |
| ✓ | 0.2b | (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (log.f64 y)) 2) |
| ✓ | 0.5b | (cbrt.f64 (log.f64 y)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | y | @ | -inf | (cbrt.f64 (log.f64 y)) |
| 28.0ms | y | @ | 0 | (cbrt.f64 (log.f64 y)) |
| 7.0ms | y | @ | inf | (cbrt.f64 (log.f64 y)) |
| 1.0ms | x | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 1.0ms | y | @ | inf | (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 1× | batch-egg-rewrite |
| 275× | expm1-udef_binary64 |
| 275× | log1p-udef_binary64 |
| 160× | add-sqr-sqrt_binary64 |
| 155× | pow1_binary64 |
| 154× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 312 | 42 |
| 2 | 4160 | 42 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (log.f64 y)) |
(pow.f64 (cbrt.f64 (log.f64 y)) 2) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 1/3) (pow.f64 (sqrt.f64 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (*.f64 (pow.f64 (log.f64 y) 1/6) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2)) (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 (+.f64 y (-.f64 x z)) 3)) (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (-.f64 (pow.f64 (+.f64 y (-.f64 x z)) 2) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (pow.f64 (+.f64 y (-.f64 x z)) 2)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (cbrt.f64 (log.f64 y))) (*.f64 (neg.f64 y) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (log.f64 y)) -1/2) (*.f64 (cbrt.f64 (log.f64 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) (cbrt.f64 (log.f64 y))) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (log.f64 y))) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (-.f64 -1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -1/2 y) 3) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)))))))) |
| 1× | egg-herbie |
| 315× | fma-neg_binary64 |
| 286× | fma-def_binary64 |
| 235× | cancel-sign-sub-inv_binary64 |
| 215× | associate--l+_binary64 |
| 193× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 1111 |
| 1 | 228 | 1012 |
| 2 | 655 | 873 |
| 3 | 2447 | 865 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 y) 1/3) |
(pow.f64 (log.f64 y) 1/3) |
(pow.f64 (log.f64 y) 1/3) |
(pow.f64 (log.f64 y) 1/3) |
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(*.f64 -1/2 (pow.f64 (log.f64 y) 1/3)) |
(+.f64 (*.f64 -1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 y) 1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 y) 1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 y) 1/3)))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1))) (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1))) (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1))) (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))) |
(*.f64 -1 (*.f64 y (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))) |
(+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)))) |
| Outputs |
|---|
(pow.f64 (log.f64 y) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (log.f64 y) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (log.f64 y) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (log.f64 y) 1/3) |
(cbrt.f64 (log.f64 y)) |
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) |
(-.f64 (fma.f64 -1/2 (log.f64 y) x) z) |
(-.f64 (fma.f64 (log.f64 y) -1/2 x) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))) |
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) |
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z) |
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) z) |
(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) |
(+.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) x) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z) |
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 (log.f64 y) -1/2 x) z)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 (+.f64 y x) z)) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 -1/2 (pow.f64 (log.f64 y) 1/3)) |
(*.f64 (cbrt.f64 (log.f64 y)) -1/2) |
(+.f64 (*.f64 -1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 y) 1/3)))) |
(fma.f64 -1/2 (cbrt.f64 (log.f64 y)) (neg.f64 (*.f64 y (cbrt.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 (log.f64 y)) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 y) 1/3)))) |
(fma.f64 -1/2 (cbrt.f64 (log.f64 y)) (neg.f64 (*.f64 y (cbrt.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 (log.f64 y)) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 y) 1/3)))) |
(fma.f64 -1/2 (cbrt.f64 (log.f64 y)) (neg.f64 (*.f64 y (cbrt.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 (log.f64 y)) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))) |
(neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (neg.f64 y) (cbrt.f64 -1))) |
(*.f64 y (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (neg.f64 (cbrt.f64 -1)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1))) (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))) |
(fma.f64 -1/2 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (cbrt.f64 -1))))) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) -1/2) (cbrt.f64 -1) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (neg.f64 y) (cbrt.f64 -1)))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) (-.f64 -1/2 y)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) (-.f64 -1/2 y))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1))) (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))) |
(fma.f64 -1/2 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (cbrt.f64 -1))))) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) -1/2) (cbrt.f64 -1) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (neg.f64 y) (cbrt.f64 -1)))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) (-.f64 -1/2 y)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) (-.f64 -1/2 y))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 1/3) (cbrt.f64 -1))) (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))) |
(fma.f64 -1/2 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (cbrt.f64 -1))))) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) -1/2) (cbrt.f64 -1) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (neg.f64 y) (cbrt.f64 -1)))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) (-.f64 -1/2 y)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) (-.f64 -1/2 y))) |
(*.f64 -1 (*.f64 y (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))) |
(neg.f64 (*.f64 y (cbrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) |
(*.f64 (cbrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (neg.f64 y)) |
(*.f64 (cbrt.f64 (log.f64 y)) (neg.f64 y)) |
(+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)))) |
(fma.f64 -1/2 (cbrt.f64 (log.f64 y)) (neg.f64 (*.f64 y (cbrt.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 (log.f64 y)) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)))) |
(fma.f64 -1/2 (cbrt.f64 (log.f64 y)) (neg.f64 (*.f64 y (cbrt.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 (log.f64 y)) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) |
(+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)) (*.f64 -1 (*.f64 y (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)))) |
(fma.f64 -1/2 (cbrt.f64 (log.f64 y)) (neg.f64 (*.f64 y (cbrt.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 (log.f64 y)) (+.f64 -1/2 (neg.f64 y))) |
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 151 | 1 | 152 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 152 | 7 | 159 |
| Status | Error | Program |
|---|---|---|
| 14.3b | (fma.f64 1 (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (+.f64 y -1/2)) (+.f64 y (-.f64 x z))) | |
| ✓ | 0.5b | (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| ✓ | 0.1b | (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| ▶ | 0.4b | (fma.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 0.5b | (fma.f64 1 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3) (+.f64 y (-.f64 x z))) | |
| ✓ | 0.1b | (fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 33.9b | (fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
Compiled 3289 to 1512 computations (54% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 0.5b | (cbrt.f64 (log.f64 y)) | |
| ✓ | 0.5b | (pow.f64 (log.f64 y) 2) |
| ✓ | 1.2b | (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
| 2.0ms | y | @ | 0 | (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
| 2.0ms | y | @ | inf | (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
| 2.0ms | y | @ | 0 | (pow.f64 (log.f64 y) 2) |
| 1.0ms | x | @ | 0 | (fma.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| 1× | batch-egg-rewrite |
| 301× | log1p-udef_binary64 |
| 178× | add-sqr-sqrt_binary64 |
| 171× | pow1_binary64 |
| 169× | *-un-lft-identity_binary64 |
| 169× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 42 |
| 1 | 361 | 32 |
| 2 | 4590 | 32 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(pow.f64 (log.f64 y) 2) |
(fma.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (*.f64 (pow.f64 (log.f64 y) 1/6) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 2/3) (pow.f64 (cbrt.f64 (log.f64 y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 2/3) (pow.f64 (sqrt.f64 (log.f64 y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 y) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1) (-.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 2) (cbrt.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (sqrt.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 (-.f64 (+.f64 y x) z) 3)) (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (-.f64 (pow.f64 (-.f64 (+.f64 y x) z) 2) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (+.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (pow.f64 (-.f64 (+.f64 y x) z) 2)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))))) |
| 1× | egg-herbie |
| 323× | associate-+l-_binary64 |
| 304× | fma-neg_binary64 |
| 291× | fma-def_binary64 |
| 252× | associate--l+_binary64 |
| 232× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 847 |
| 1 | 174 | 788 |
| 2 | 546 | 676 |
| 3 | 2028 | 630 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z) |
(*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 y)))))) |
(-.f64 (+.f64 x (+.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 y)))) (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 y)))))))) z) |
(-.f64 (+.f64 x (+.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 y)))) (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 y)))))))) z) |
(-.f64 (+.f64 x (+.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 y)))) (*.f64 y (+.f64 1 (*.f64 -1 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 y)))))))) z) |
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
x |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))) |
| Outputs |
|---|
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) |
(cbrt.f64 (*.f64 (log.f64 y) (log.f64 y))) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) |
(cbrt.f64 (*.f64 (log.f64 y) (log.f64 y))) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) |
(cbrt.f64 (*.f64 (log.f64 y) (log.f64 y))) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) |
(cbrt.f64 (*.f64 (log.f64 y) (log.f64 y))) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) |
(cbrt.f64 (*.f64 (log.f64 y) (log.f64 y))) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) |
(cbrt.f64 (*.f64 (log.f64 y) (log.f64 y))) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) |
(cbrt.f64 (*.f64 (log.f64 y) (log.f64 y))) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) |
(cbrt.f64 (*.f64 (log.f64 y) (log.f64 y))) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
(*.f64 (log.f64 y) (log.f64 y)) |
(pow.f64 (log.f64 y) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
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(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))) |
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 2 | 122 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 122 | 7 | 129 |
| Status | Error | Program |
|---|---|---|
| 14.3b | (fma.f64 1 (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (+.f64 y -1/2)) (+.f64 y (-.f64 x z))) | |
| ✓ | 0.5b | (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| ✓ | 0.1b | (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| 0.3b | (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) | |
| 0.5b | (fma.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) | |
| ✓ | 0.4b | (fma.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
| ✓ | 0.1b | (fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
Compiled 2596 to 1256 computations (51.6% saved)
Total -48.2b remaining (-51370%)
Threshold costs -48.2b (-51370%)
| Inputs |
|---|
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
(fma.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
(fma.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
(fma.f64 1 (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (+.f64 y -1/2)) (+.f64 y (-.f64 x z))) |
(fma.f64 1 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3) (+.f64 y (-.f64 x z))) |
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z))) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z)) |
(fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| Outputs |
|---|
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| 9.0ms | 0.1b | x |
| 9.0ms | 0.1b | y |
| 7.0ms | 0.1b | z |
| 9.0ms | 0.1b | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| 10.0ms | 0.1b | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
Compiled 281 to 141 computations (49.8% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 15 | 16 |
| 2 | 23 | 16 |
| 3 | 27 | 16 |
| 4 | 29 | 16 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| Outputs |
|---|
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) |
| 1× | fuel |
Compiled 28 to 18 computations (35.7% saved)
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