Time bar (total: 11.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 6.2% | 93.6% | 0.2% | 9 |
| 9.4% | 90.4% | 0.2% | 10 |
| 14% | 85.8% | 0.2% | 11 |
| 21.4% | 78.4% | 0.2% | 12 |
Compiled 14 to 10 computations (28.6% saved)
| 1.2s | 8256× | body | 256 | valid |
| 412.0ms | 3036× | body | 256 | invalid |
| 2× | egg-herbie |
| 739× | fma-neg_binary64 |
| 719× | associate-/r*_binary64 |
| 708× | div-sub_binary64 |
| 642× | sub-neg_binary64 |
| 624× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 91 |
| 1 | 96 | 91 |
| 2 | 214 | 91 |
| 3 | 364 | 91 |
| 4 | 781 | 91 |
| 5 | 1773 | 91 |
| 6 | 3983 | 91 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| 1× | unsound |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
3 |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 t 2)) |
(/.f64 (-.f64 (+.f64 z y) x) (*.f64 t 2)) |
(/.f64 (-.f64 (+.f64 t y) z) (*.f64 x 2)) |
(/.f64 (-.f64 (+.f64 x z) y) (*.f64 t 2)) |
(/.f64 (-.f64 (+.f64 x t) z) (*.f64 y 2)) |
(/.f64 (-.f64 (+.f64 x y) t) (*.f64 z 2)) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
(/.f64 (+.f64 x (-.f64 y z)) (*.f64 t 2)) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 z x) y) t)) |
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 t 2)) |
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
(/.f64 (+.f64 x (-.f64 y z)) (*.f64 t 2)) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 z x) y) t)) |
(/.f64 (-.f64 (+.f64 z y) x) (*.f64 t 2)) |
(/.f64 (+.f64 z (-.f64 y x)) (*.f64 t 2)) |
(/.f64 (+.f64 y (-.f64 z x)) (*.f64 t 2)) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 x y) z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 x z) y) t)) |
(/.f64 (-.f64 (+.f64 t y) z) (*.f64 x 2)) |
(/.f64 (+.f64 t (-.f64 y z)) (*.f64 x 2)) |
(/.f64 (-.f64 y (-.f64 z t)) (*.f64 x 2)) |
(/.f64 (/.f64 (+.f64 t (-.f64 y z)) x) 2) |
(*.f64 -1/2 (/.f64 (-.f64 z (+.f64 y t)) x)) |
(/.f64 (-.f64 (+.f64 x z) y) (*.f64 t 2)) |
(/.f64 (+.f64 x (-.f64 z y)) (*.f64 t 2)) |
(/.f64 (+.f64 z (-.f64 x y)) (*.f64 t 2)) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 y z) x) t)) |
(/.f64 (/.f64 (-.f64 (+.f64 x z) y) 2) t) |
(/.f64 (-.f64 (+.f64 x t) z) (*.f64 y 2)) |
(/.f64 (+.f64 t (-.f64 x z)) (*.f64 y 2)) |
(/.f64 (+.f64 x (-.f64 t z)) (*.f64 y 2)) |
(/.f64 (-.f64 x (-.f64 z t)) (*.f64 y 2)) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 z x) t) y)) |
(/.f64 (-.f64 (+.f64 x y) t) (*.f64 z 2)) |
(/.f64 (+.f64 x (-.f64 y t)) (*.f64 z 2)) |
(*.f64 (/.f64 -1/2 z) (-.f64 t (+.f64 x y))) |
(sort x y)
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 1491× | fma-neg_binary64 |
| 579× | fma-def_binary64 |
| 465× | distribute-rgt-in_binary64 |
| 416× | div-sub_binary64 |
| 329× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 21 | 13 |
| 2 | 45 | 13 |
| 3 | 74 | 13 |
| 4 | 155 | 13 |
| 5 | 299 | 13 |
| 6 | 611 | 13 |
| 7 | 1315 | 13 |
| 8 | 2687 | 13 |
| 9 | 5289 | 13 |
| 10 | 6017 | 13 |
| 11 | 6091 | 13 |
| 12 | 6103 | 13 |
| 13 | 6104 | 13 |
| 14 | 6104 | 13 |
| 15 | 7296 | 13 |
| 16 | 7464 | 13 |
| 17 | 7464 | 13 |
| 18 | 7464 | 13 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
(/.f64 (+.f64 x (-.f64 y z)) (*.f64 t 2)) |
(/.f64 (/.f64 (+.f64 x (-.f64 y z)) 2) t) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 z x) y) t)) |
(*.f64 (-.f64 (-.f64 z x) y) (/.f64 -1/2 t)) |
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
Compiled 22 to 14 computations (36.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| ▶ | 0.3b | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
Compiled 26 to 18 computations (30.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
Compiled 29 to 12 computations (58.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| 1.0ms | y | @ | 0 | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| 1.0ms | t | @ | inf | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| 1× | batch-egg-rewrite |
| 981× | prod-diff_binary64 |
| 556× | log-prod_binary64 |
| 384× | fma-def_binary64 |
| 216× | expm1-udef_binary64 |
| 216× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 230 | 13 |
| 2 | 3335 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/2 t)) (*.f64 (-.f64 y z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) (*.f64 x (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 t) x) (*.f64 (/.f64 1/2 t) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 t) (-.f64 y z)) (*.f64 (/.f64 1/2 t) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 (-.f64 (+.f64 x y) z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) (*.f64 (*.f64 t 2) (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) (*.f64 (*.f64 t 2) (+.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) 1/2) (*.f64 (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) 1/2) (*.f64 (+.f64 (-.f64 x y) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) 1) (*.f64 (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) 1) (*.f64 (+.f64 (-.f64 x y) z) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) -1/2) (*.f64 (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) -1/2) (*.f64 (+.f64 (-.f64 x y) z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3))) (*.f64 t (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3))) (*.f64 (neg.f64 t) (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2))) (*.f64 t (+.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2))) (*.f64 (neg.f64 t) (+.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (+.f64 x y) z) 1/2) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)) (/.f64 1/2 t)) (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2)) (/.f64 1/2 t)) (+.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (+.f64 x y) z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 x y) z) -1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 t) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3))) (fma.f64 x x (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 t) (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) 2))) (+.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) z) 3) (pow.f64 (/.f64 1/2 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 t) 3) (pow.f64 (-.f64 (+.f64 x y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1/2 t) (*.f64 (-.f64 y z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) (/.f64 1/2 t) (*.f64 x (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 t) x (*.f64 (/.f64 1/2 t) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 t) (-.f64 y z) (*.f64 (/.f64 1/2 t) x)))))) |
| 1× | egg-herbie |
| 1393× | fma-def_binary64 |
| 572× | fma-neg_binary64 |
| 465× | distribute-rgt-in_binary64 |
| 360× | unsub-neg_binary64 |
| 327× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 696 |
| 1 | 92 | 696 |
| 2 | 186 | 696 |
| 3 | 323 | 579 |
| 4 | 556 | 579 |
| 5 | 943 | 579 |
| 6 | 1759 | 579 |
| 7 | 3066 | 579 |
| 8 | 4302 | 579 |
| 9 | 4860 | 579 |
| 10 | 5012 | 579 |
| 11 | 5025 | 579 |
| 12 | 5026 | 579 |
| 13 | 5741 | 579 |
| 14 | 6133 | 579 |
| 15 | 6301 | 579 |
| 16 | 6301 | 579 |
| 17 | 6301 | 579 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(/.f64 (*.f64 1/2 (-.f64 y z)) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(/.f64 1/2 (/.f64 t (-.f64 x z))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 (*.f64 1/2 y) t) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 (*.f64 1/2 y) t) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 (+.f64 y x) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 (/.f64 z t) -1/2) |
(*.f64 z (/.f64 -1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 (/.f64 z t) -1/2) |
(*.f64 z (/.f64 -1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 (-.f64 y z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y (-.f64 x z)) t)) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 x y) z) |
| ✓ | 0.3b | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
Compiled 29 to 12 computations (58.6% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | -inf | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
| 0.0ms | z | @ | inf | (-.f64 (+.f64 x y) z) |
| 0.0ms | z | @ | 0 | (-.f64 (+.f64 x y) z) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 x y) z) |
| 0.0ms | y | @ | 0 | (-.f64 (+.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 634× | log-prod_binary64 |
| 439× | fma-def_binary64 |
| 327× | pow2_binary64 |
| 245× | fma-neg_binary64 |
| 226× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 232 | 20 |
| 2 | 3634 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
(-.f64 (+.f64 x y) z) |
| Outputs |
|---|
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egg-rr> (2) ((x fma.f64 x 1 (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) 1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) 1 (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (-.f64 x z)) 1 (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (-.f64 x z)) 1 (fma.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (-.f64 x z)) 1 (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (-.f64 x z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (-.f64 x z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (neg.f64 (cbrt.f64 z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 (-.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 y z))))) (#(struct:change #<rule 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y (-.f64 x z))) 2) (cbrt.f64 (+.f64 y (-.f64 x z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) (sqrt.f64 (+.f64 y (-.f64 x z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) (sqrt.f64 (+.f64 y (-.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) (sqrt.f64 (+.f64 y (-.f64 x z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 x (+.f64 y z)) (pow.f64 (+.f64 x y) 2))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 x (+.f64 y z)) (pow.f64 (+.f64 x y) 2))) (fma.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 x (+.f64 y z)) (pow.f64 (+.f64 x y) 2))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (+.f64 y z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (+.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (+.f64 y z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (-.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (-.f64 x y)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) 2) (cbrt.f64 (-.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (+.f64 x y)))))) |
| 1× | egg-herbie |
| 1393× | fma-def_binary64 |
| 574× | fma-neg_binary64 |
| 465× | distribute-rgt-in_binary64 |
| 360× | unsub-neg_binary64 |
| 328× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 907 |
| 1 | 100 | 907 |
| 2 | 204 | 907 |
| 3 | 345 | 790 |
| 4 | 578 | 790 |
| 5 | 967 | 790 |
| 6 | 1780 | 790 |
| 7 | 3085 | 790 |
| 8 | 4312 | 790 |
| 9 | 4867 | 790 |
| 10 | 5016 | 790 |
| 11 | 5029 | 790 |
| 12 | 5030 | 790 |
| 13 | 5745 | 790 |
| 14 | 6137 | 790 |
| 15 | 6305 | 790 |
| 16 | 6305 | 790 |
| 17 | 6305 | 790 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(-.f64 y z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
x |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
x |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
y |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
y |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 y x) z) |
(+.f64 y x) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 x t)) (*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 (-.f64 x z) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 (-.f64 x z) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 1/2 (/.f64 t y)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 1/2 (/.f64 t y)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t))) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 (+.f64 y x) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 (+.f64 y x) t))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 (/.f64 z t) -1/2) |
(*.f64 z (/.f64 -1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 (/.f64 z t) -1/2) |
(*.f64 z (/.f64 -1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))) |
(*.f64 (+.f64 y (-.f64 x z)) (/.f64 1/2 t)) |
(-.f64 y z) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
x |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
x |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
y |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
y |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y (-.f64 x z)) |
(+.f64 y x) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 y (-.f64 x z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 y (-.f64 x z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 y x)) |
(+.f64 y (-.f64 x z)) |
Compiled 4506 to 1849 computations (59% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 10 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 282 | 11 | 293 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| 17.1b | (*.f64 (-.f64 y z) (/.f64 1/2 t)) | |
| ▶ | 39.2b | (/.f64 1/2 (/.f64 t y)) |
| 39.2b | (*.f64 z (/.f64 -1/2 t)) | |
| ▶ | 22.9b | (/.f64 (+.f64 y x) (*.f64 t 2)) |
| ▶ | 39.1b | (*.f64 -1/2 (/.f64 z t)) |
| 22.9b | (/.f64 (-.f64 x z) (*.f64 t 2)) | |
| 45.0b | (/.f64 x (*.f64 t 2)) | |
| ▶ | 39.1b | (/.f64 (*.f64 1/2 y) t) |
| 17.2b | (/.f64 (-.f64 y z) (*.f64 t 2)) | |
| ▶ | 0.3b | (+.f64 (*.f64 (/.f64 1/2 t) (-.f64 y z)) (*.f64 (/.f64 1/2 t) x)) |
Compiled 225 to 167 computations (25.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (/.f64 1/2 t) (-.f64 y z)) (*.f64 (/.f64 1/2 t) x)) |
| ✓ | 0.2b | (*.f64 (/.f64 1/2 t) x) |
| ✓ | 0.3b | (*.f64 (/.f64 1/2 t) (-.f64 y z)) |
Compiled 40 to 21 computations (47.5% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | t | @ | -inf | (+.f64 (*.f64 (/.f64 1/2 t) (-.f64 y z)) (*.f64 (/.f64 1/2 t) x)) |
| 2.0ms | y | @ | 0 | (*.f64 (/.f64 1/2 t) (-.f64 y z)) |
| 1.0ms | t | @ | 0 | (*.f64 (/.f64 1/2 t) (-.f64 y z)) |
| 1.0ms | t | @ | 0 | (*.f64 (/.f64 1/2 t) x) |
| 1.0ms | t | @ | inf | (*.f64 (/.f64 1/2 t) (-.f64 y z)) |
| 1× | batch-egg-rewrite |
| 654× | log-prod_binary64 |
| 562× | fma-def_binary64 |
| 345× | pow2_binary64 |
| 271× | fma-neg_binary64 |
| 236× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 253 | 30 |
| 2 | 3717 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1/2 t) (-.f64 y z)) |
(*.f64 (/.f64 1/2 t) x) |
(+.f64 (*.f64 (/.f64 1/2 t) (-.f64 y z)) (*.f64 (/.f64 1/2 t) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1/2 t)) (*.f64 (neg.f64 z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 t) y) (*.f64 (/.f64 1/2 t) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y z)) (/.f64 1/2 t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y z)) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y z)) (/.f64 1/2 t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y z)) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 t (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y z) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t 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y z) t))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t))) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1/2 t)) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x t))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x t))) 2) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x t))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x t))) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) 2) (*.f64 (cbrt.f64 (-.f64 y z)) (/.f64 1/2 t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 t)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 t)) (-.f64 y z)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 t)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 t)) x) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t))) (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t))) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1/2 t)) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x t))) (sqrt.f64 (*.f64 1/2 (/.f64 x t))) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y z)) (*.f64 (sqrt.f64 (-.f64 y z)) (/.f64 1/2 t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 t)) (*.f64 (sqrt.f64 (/.f64 1/2 t)) (-.f64 y z)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 t)) (*.f64 (sqrt.f64 (/.f64 1/2 t)) x) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) (/.f64 1 t) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (-.f64 y z)) (/.f64 1 t) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (-.f64 y z) (cbrt.f64 t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 t) 2)) (/.f64 x (cbrt.f64 t)) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 t)) (/.f64 (-.f64 y z) (sqrt.f64 t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 t)) (/.f64 x (sqrt.f64 t)) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 t) (pow.f64 (cbrt.f64 (-.f64 y z)) 2)) (cbrt.f64 (-.f64 y z)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 t) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y z) (pow.f64 (cbrt.f64 (/.f64 1/2 t)) 2)) (cbrt.f64 (/.f64 1/2 t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y z) (sqrt.f64 (/.f64 1/2 t))) (sqrt.f64 (/.f64 1/2 t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 t) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 t) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 t)) 2)) (cbrt.f64 (/.f64 1/2 t)) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 t))) (sqrt.f64 (/.f64 1/2 t)) (*.f64 1/2 (/.f64 (-.f64 y z) t))))))) |
| 1× | egg-herbie |
| 1319× | fma-def_binary64 |
| 410× | distribute-rgt-in_binary64 |
| 375× | div-sub_binary64 |
| 354× | distribute-lft-in_binary64 |
| 336× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 1096 |
| 1 | 75 | 1096 |
| 2 | 170 | 1096 |
| 3 | 329 | 1093 |
| 4 | 792 | 1089 |
| 5 | 2144 | 1089 |
| 6 | 4004 | 1089 |
| 7 | 4740 | 1089 |
| 8 | 4864 | 1089 |
| 9 | 4879 | 1089 |
| 10 | 4881 | 1089 |
| 11 | 5895 | 1089 |
| 12 | 6287 | 1089 |
| 13 | 6455 | 1089 |
| 14 | 6455 | 1089 |
| 15 | 6455 | 1089 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 1/2 (/.f64 x t)) |
(/.f64 (+.f64 (*.f64 1/2 (-.f64 y z)) (*.f64 1/2 x)) t) |
(/.f64 (+.f64 (*.f64 1/2 (-.f64 y z)) (*.f64 1/2 x)) t) |
(/.f64 (+.f64 (*.f64 1/2 (-.f64 y z)) (*.f64 1/2 x)) t) |
(/.f64 (+.f64 (*.f64 1/2 (-.f64 y z)) (*.f64 1/2 x)) t) |
(/.f64 (+.f64 (*.f64 1/2 (-.f64 y z)) (*.f64 1/2 x)) t) |
(/.f64 (+.f64 (*.f64 1/2 (-.f64 y z)) (*.f64 1/2 x)) t) |
(/.f64 (+.f64 (*.f64 1/2 (-.f64 y z)) (*.f64 1/2 x)) t) |
(/.f64 (+.f64 (*.f64 1/2 (-.f64 y z)) (*.f64 1/2 x)) t) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (-.f64 y z))) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (-.f64 y z))) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (-.f64 y z))) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (-.f64 y z))) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 z (/.f64 -1/2 t)) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 (/.f64 1/2 t) y) |
(*.f64 y (/.f64 1/2 t)) |
(/.f64 y (/.f64 t 1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 (/.f64 1/2 t) y) |
(*.f64 y (/.f64 1/2 t)) |
(/.f64 y (/.f64 t 1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 (/.f64 1/2 t) y) |
(*.f64 y (/.f64 1/2 t)) |
(/.f64 y (/.f64 t 1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
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(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t)))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 x (/.f64 1/2 t)) |
(/.f64 1/2 (/.f64 t x)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 x (/.f64 1/2 t)) |
(/.f64 1/2 (/.f64 t x)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 y z) t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (*.f64 1/2 (+.f64 (-.f64 y z) x)) t) |
(/.f64 1/2 (/.f64 t (+.f64 (-.f64 y z) x))) |
(*.f64 (/.f64 1/2 t) (+.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 y (-.f64 z x)) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (-.f64 y (-.f64 z x)) t)) |
(*.f64 1/2 (/.f64 (-.f64 (+.f64 y x) z) t)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/2 (/.f64 z t)) |
Compiled 15 to 8 computations (46.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (*.f64 -1/2 (/.f64 z t)) |
| 1.0ms | z | @ | 0 | (*.f64 -1/2 (/.f64 z t)) |
| 1.0ms | t | @ | inf | (*.f64 -1/2 (/.f64 z t)) |
| 1.0ms | z | @ | inf | (*.f64 -1/2 (/.f64 z t)) |
| 0.0ms | t | @ | -inf | (*.f64 -1/2 (/.f64 z t)) |
| 1× | batch-egg-rewrite |
| 653× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 606× | log1p-expm1-u_binary64 |
| 606× | expm1-log1p-u_binary64 |
| 594× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 127 | 7 |
| 2 | 1610 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 z t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 -1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 z) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 z) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z t) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 z t)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (/.f64 1/2 (/.f64 t y)) |
Compiled 15 to 8 computations (46.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | t | @ | 0 | (/.f64 1/2 (/.f64 t y)) |
| 1.0ms | y | @ | inf | (/.f64 1/2 (/.f64 t y)) |
| 1.0ms | t | @ | inf | (/.f64 1/2 (/.f64 t y)) |
| 0.0ms | y | @ | 0 | (/.f64 1/2 (/.f64 t y)) |
| 0.0ms | y | @ | -inf | (/.f64 1/2 (/.f64 t y)) |
| 1× | batch-egg-rewrite |
| 699× | pow1_binary64 |
| 652× | add-log-exp_binary64 |
| 652× | log1p-expm1-u_binary64 |
| 652× | expm1-log1p-u_binary64 |
| 639× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 134 | 7 |
| 2 | 1770 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 (/.f64 t y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 y t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 y t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 y t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 y t))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 y t))) (sqrt.f64 (*.f64 1/2 (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 t)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 t) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 t) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 y t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 y t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 y t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 y t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 t y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 t y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 y t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 y t)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
Compiled 15 to 10 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 y x) (*.f64 t 2)) |
Compiled 21 to 11 computations (47.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (+.f64 y x) (*.f64 t 2)) |
| 1.0ms | t | @ | inf | (/.f64 (+.f64 y x) (*.f64 t 2)) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 y x) (*.f64 t 2)) |
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 y x) (*.f64 t 2)) |
| 1.0ms | y | @ | inf | (/.f64 (+.f64 y x) (*.f64 t 2)) |
| 1× | batch-egg-rewrite |
| 482× | prod-diff_binary64 |
| 462× | log-prod_binary64 |
| 355× | exp-prod_binary64 |
| 270× | pow-prod-down_binary64 |
| 240× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 177 | 10 |
| 2 | 2534 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 y x) (*.f64 t 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (/.f64 1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) (cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 y x) t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 y x) t)) -2)) (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (*.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 t) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 y x) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 (+.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) t) (/.f64 (cbrt.f64 (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) t) (/.f64 (sqrt.f64 (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 2) (/.f64 (sqrt.f64 (+.f64 y x)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 2) (/.f64 (cbrt.f64 (+.f64 y x)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 t t)) -2) (/.f64 (+.f64 y x) (cbrt.f64 (+.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 t t)) 2)) (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 t t)) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 t t) -1/2) (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 (+.f64 t t))) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 y x) t)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 (+.f64 y x) t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 t t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 y x) t)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y x) (*.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 y x) t)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 t t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 (+.f64 y x) t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 1/2 t))) 1) 1)))))) |
| 1× | egg-herbie |
| 12× | fma-def_binary64 |
| 10× | *-commutative_binary64 |
| 6× | associate-/l*_binary64 |
| 4× | distribute-rgt-in_binary64 |
| 3× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 432 |
| 1 | 27 | 432 |
| 2 | 49 | 432 |
| 3 | 61 | 342 |
| 4 | 68 | 342 |
| 5 | 70 | 342 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x t)) |
(/.f64 (*.f64 1/2 x) t) |
(/.f64 x (/.f64 t 1/2)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 y (/.f64 t 1/2)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 y (/.f64 t 1/2)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 y (/.f64 t 1/2)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 x t)) |
(/.f64 (*.f64 1/2 x) t) |
(/.f64 x (/.f64 t 1/2)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 x t)) |
(/.f64 (*.f64 1/2 x) t) |
(/.f64 x (/.f64 t 1/2)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
(*.f64 1/2 (/.f64 (+.f64 y x) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(*.f64 (+.f64 x y) (/.f64 1/2 t)) |
Compiled 4309 to 2205 computations (48.8% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 282 | 4 | 286 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 285 | 12 | 297 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| ▶ | 17.1b | (*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| ✓ | 22.9b | (/.f64 (+.f64 y x) (*.f64 t 2)) |
| ✓ | 39.1b | (*.f64 -1/2 (/.f64 z t)) |
| ▶ | 22.9b | (+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| 39.2b | (*.f64 (/.f64 1/2 t) y) | |
| ▶ | 39.2b | (*.f64 z (/.f64 -1/2 t)) |
| ▶ | 39.3b | (/.f64 -1/2 (/.f64 t z)) |
| ▶ | 22.9b | (/.f64 (-.f64 x z) (*.f64 t 2)) |
| 45.0b | (/.f64 x (/.f64 t 1/2)) | |
| ✓ | 39.1b | (/.f64 (*.f64 1/2 y) t) |
| 17.2b | (/.f64 (-.f64 y z) (*.f64 t 2)) |
Compiled 210 to 157 computations (25.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (-.f64 y z) (/.f64 1/2 t)) |
Compiled 21 to 11 computations (47.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| 0.0ms | z | @ | inf | (*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| 0.0ms | y | @ | -inf | (*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| 0.0ms | t | @ | inf | (*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| 0.0ms | z | @ | -inf | (*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| 1× | batch-egg-rewrite |
| 563× | unpow-prod-down_binary64 |
| 429× | log-prod_binary64 |
| 368× | prod-diff_binary64 |
| 281× | pow-prod-down_binary64 |
| 240× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 179 | 10 |
| 2 | 2452 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1/2 t)) (*.f64 (neg.f64 z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 t) y) (*.f64 (/.f64 1/2 t) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y z) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 (-.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (*.f64 t 2) (fma.f64 y y (*.f64 z (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (*.f64 (*.f64 t 2) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y z) 1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 y z) 1/2)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) 1/2) (*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) 1/2) (*.f64 (+.f64 y z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) 1) (*.f64 (+.f64 y z) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) -1/2) (*.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) -1/2) (*.f64 (+.f64 y z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 t (fma.f64 y y (*.f64 z (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 (neg.f64 t) (fma.f64 y y (*.f64 z (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 (+.f64 y z) (-.f64 y z))) (*.f64 t (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 (+.f64 y z) (-.f64 y z))) (*.f64 (neg.f64 t) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 y z) 1/2) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 y z) 1/2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 y z) 1/2) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (/.f64 1/2 t)) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 1/2 t)) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 y z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y z) -1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 t) (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 t) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 (-.f64 y z) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 t)) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1/2 t) (*.f64 (neg.f64 z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 t) y (*.f64 (/.f64 1/2 t) (neg.f64 z))))))) |
| 1× | egg-herbie |
| 729× | fma-def_binary64 |
| 395× | fma-neg_binary64 |
| 137× | cancel-sign-sub-inv_binary64 |
| 123× | distribute-rgt-in_binary64 |
| 100× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 462 |
| 1 | 28 | 462 |
| 2 | 55 | 462 |
| 3 | 93 | 342 |
| 4 | 178 | 342 |
| 5 | 302 | 342 |
| 6 | 549 | 342 |
| 7 | 886 | 342 |
| 8 | 1392 | 342 |
| 9 | 1934 | 342 |
| 10 | 2627 | 342 |
| 11 | 2763 | 342 |
| 12 | 2795 | 342 |
| 13 | 2800 | 342 |
| 14 | 2800 | 342 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 -1/2 z) t) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 y (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 y (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 y (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 -1/2 z) t) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 -1/2 z) t) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 z (/.f64 -1/2 t)) |
Compiled 15 to 10 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 z (/.f64 -1/2 t)) |
| 0.0ms | z | @ | inf | (*.f64 z (/.f64 -1/2 t)) |
| 0.0ms | t | @ | inf | (*.f64 z (/.f64 -1/2 t)) |
| 0.0ms | z | @ | -inf | (*.f64 z (/.f64 -1/2 t)) |
| 0.0ms | t | @ | -inf | (*.f64 z (/.f64 -1/2 t)) |
| 1× | batch-egg-rewrite |
| 614× | pow1_binary64 |
| 571× | add-log-exp_binary64 |
| 570× | log1p-expm1-u_binary64 |
| 570× | expm1-log1p-u_binary64 |
| 560× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1556 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (/.f64 -1/2 t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 -1/2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (*.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z -1/2)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 -1/2 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 -1/2 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 -1/2 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 -1/2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 -1/2 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 -1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 -1/2 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 -1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 -1/2 t)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.9b | (/.f64 -1/2 (/.f64 t z)) |
Compiled 15 to 8 computations (46.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/.f64 -1/2 (/.f64 t z)) |
| 0.0ms | z | @ | inf | (/.f64 -1/2 (/.f64 t z)) |
| 0.0ms | t | @ | inf | (/.f64 -1/2 (/.f64 t z)) |
| 0.0ms | t | @ | -inf | (/.f64 -1/2 (/.f64 t z)) |
| 0.0ms | z | @ | -inf | (/.f64 -1/2 (/.f64 t z)) |
| 1× | batch-egg-rewrite |
| 697× | pow1_binary64 |
| 651× | add-log-exp_binary64 |
| 650× | log1p-expm1-u_binary64 |
| 650× | expm1-log1p-u_binary64 |
| 638× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 134 | 7 |
| 2 | 1769 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 (/.f64 t z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 z t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 -1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 z t))) (sqrt.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (/.f64 (neg.f64 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z t) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 t) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 t) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 t) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 t z) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 z t)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 -1/2 (/.f64 z t)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 x z) (*.f64 t 2)) |
Compiled 21 to 11 computations (47.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (/.f64 (-.f64 x z) (*.f64 t 2)) |
| 1.0ms | t | @ | inf | (/.f64 (-.f64 x z) (*.f64 t 2)) |
| 1.0ms | z | @ | 0 | (/.f64 (-.f64 x z) (*.f64 t 2)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x z) (*.f64 t 2)) |
| 0.0ms | z | @ | inf | (/.f64 (-.f64 x z) (*.f64 t 2)) |
| 1× | batch-egg-rewrite |
| 730× | prod-diff_binary64 |
| 506× | log-prod_binary64 |
| 326× | egg-rr |
| 277× | pow-prod-down_binary64 |
| 251× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 181 | 10 |
| 2 | 2712 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x z) (*.f64 t 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x z) (/.f64 1/2 t)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (/.f64 1/2 t)))) (sqrt.f64 (*.f64 z (/.f64 1/2 t))) (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x z) (/.f64 1/2 t)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) 2)) (/.f64 (sqrt.f64 z) t) (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x z) (/.f64 1/2 t)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) t)) (/.f64 (sqrt.f64 z) 2) (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x z) (/.f64 1/2 t)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t t)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t t))) (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/2 t)) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1/2 t) (neg.f64 (*.f64 (/.f64 1/2 t) z))) (fma.f64 (neg.f64 (/.f64 1/2 t)) z (*.f64 (/.f64 1/2 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 x (/.f64 1/2 t)) (neg.f64 (*.f64 (/.f64 1/2 t) z))) (fma.f64 (neg.f64 (/.f64 1/2 t)) z (*.f64 (/.f64 1/2 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 t))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 t))) (neg.f64 (*.f64 (/.f64 1/2 t) z))) (fma.f64 (neg.f64 (/.f64 1/2 t)) z (*.f64 (/.f64 1/2 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 t))) (sqrt.f64 (*.f64 x (/.f64 1/2 t))) (neg.f64 (*.f64 (/.f64 1/2 t) z))) (fma.f64 (neg.f64 (/.f64 1/2 t)) z (*.f64 (/.f64 1/2 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (/.f64 x t) (neg.f64 (*.f64 (/.f64 1/2 t) z))) (fma.f64 (neg.f64 (/.f64 1/2 t)) z (*.f64 (/.f64 1/2 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 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| 1× | egg-herbie |
| 729× | fma-def_binary64 |
| 395× | fma-neg_binary64 |
| 137× | cancel-sign-sub-inv_binary64 |
| 123× | distribute-rgt-in_binary64 |
| 100× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 462 |
| 1 | 28 | 462 |
| 2 | 55 | 462 |
| 3 | 93 | 342 |
| 4 | 178 | 342 |
| 5 | 302 | 342 |
| 6 | 549 | 342 |
| 7 | 886 | 342 |
| 8 | 1392 | 342 |
| 9 | 1934 | 342 |
| 10 | 2627 | 342 |
| 11 | 2763 | 342 |
| 12 | 2795 | 342 |
| 13 | 2800 | 342 |
| 14 | 2800 | 342 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 -1/2 z) t) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 x (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 x (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 x t)) |
(*.f64 x (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 -1/2 z) t) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 -1/2 z) t) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 x t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
(*.f64 1/2 (/.f64 (-.f64 x z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 x t))) |
(*.f64 -1/2 (/.f64 (-.f64 z x) t)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| 0.2b | (*.f64 (/.f64 1/2 t) x) |
Compiled 35 to 22 computations (37.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| 0.0ms | y | @ | inf | (+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| 0.0ms | y | @ | 0 | (+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| 0.0ms | t | @ | 0 | (+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| 0.0ms | t | @ | -inf | (+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| 1× | batch-egg-rewrite |
| 609× | log-prod_binary64 |
| 422× | fma-def_binary64 |
| 395× | pow-prod-down_binary64 |
| 300× | pow2_binary64 |
| 208× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 228 | 10 |
| 2 | 3313 | 10 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| Outputs |
|---|
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(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x t))) 2) (/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x t))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x t))) (/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 y (+.f64 t t))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 t t))) 2) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 t t))) 2) (cbrt.f64 (/.f64 y (+.f64 t t))) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 t t) -2)) (*.f64 (cbrt.f64 (/.f64 1/2 t)) x) (/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1/2 t)) (/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1/2 t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 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(/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 t)) (/.f64 x (sqrt.f64 t)) (/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 y y)) t) (/.f64 (cbrt.f64 y) 2) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) 2) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (+.f64 t t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 t t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 t t)) -2) (/.f64 y (cbrt.f64 (+.f64 t t))) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (*.f64 (*.f64 t t) 4))) (cbrt.f64 (/.f64 y (+.f64 t t))) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (*.f64 t t) 4))) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 t t))) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (+.f64 t t))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 t t))) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y 1/2) (/.f64 1 t) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y 1) (/.f64 1/2 t) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (neg.f64 t)) -1/2 (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 t) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 t) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 t t) -2))) (cbrt.f64 (/.f64 1/2 t)) (/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 t))) (sqrt.f64 (/.f64 1/2 t)) (/.f64 y (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 t t) -2))) (cbrt.f64 (/.f64 1/2 t)) (*.f64 1/2 (/.f64 x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (/.f64 1/2 t))) (sqrt.f64 (/.f64 1/2 t)) (*.f64 1/2 (/.f64 x t))))))) |
| 1× | egg-herbie |
| 644× | fma-def_binary64 |
| 481× | fma-neg_binary64 |
| 163× | cancel-sign-sub-inv_binary64 |
| 141× | div-sub_binary64 |
| 117× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 432 |
| 1 | 44 | 432 |
| 2 | 87 | 432 |
| 3 | 131 | 342 |
| 4 | 230 | 342 |
| 5 | 444 | 342 |
| 6 | 703 | 342 |
| 7 | 1045 | 342 |
| 8 | 1699 | 342 |
| 9 | 2711 | 342 |
| 10 | 3151 | 342 |
| 11 | 3189 | 342 |
| 12 | 3194 | 342 |
| 13 | 3194 | 342 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y)) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y)) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y)) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y)) t)) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (/.f64 x t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x t)) |
(/.f64 (*.f64 1/2 x) t) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 (*.f64 1/2 y) t) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 (*.f64 1/2 y) t) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(/.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) t) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y)) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y)) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y)) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 y)) t)) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(*.f64 1/2 (/.f64 y t)) |
(/.f64 (*.f64 1/2 y) t) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(*.f64 1/2 (/.f64 x t)) |
(/.f64 (*.f64 1/2 x) t) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(*.f64 1/2 (/.f64 x t)) |
(/.f64 (*.f64 1/2 x) t) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
(+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t))) |
(*.f64 1/2 (+.f64 (/.f64 x t) (/.f64 y t))) |
(/.f64 1/2 (/.f64 t (+.f64 x y))) |
(*.f64 1/2 (/.f64 (+.f64 x y) t)) |
Compiled 16690 to 7394 computations (55.7% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 566 | 1 | 567 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 567 | 12 | 579 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| ✓ | 17.1b | (*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| ✓ | 22.9b | (/.f64 (+.f64 y x) (*.f64 t 2)) |
| ✓ | 39.1b | (*.f64 -1/2 (/.f64 z t)) |
| ✓ | 22.9b | (/.f64 (-.f64 x z) (*.f64 t 2)) |
| ▶ | 45.0b | (/.f64 (*.f64 1/2 x) t) |
| ✓ | 22.9b | (+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| ▶ | 39.2b | (*.f64 (/.f64 1/2 t) y) |
| ✓ | 39.2b | (*.f64 z (/.f64 -1/2 t)) |
| ✓ | 39.3b | (/.f64 -1/2 (/.f64 t z)) |
| ✓ | 39.1b | (/.f64 (*.f64 1/2 y) t) |
| ▶ | 17.2b | (/.f64 (-.f64 y z) (*.f64 t 2)) |
Compiled 126 to 94 computations (25.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1/2 t) y) |
Compiled 15 to 10 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (*.f64 (/.f64 1/2 t) y) |
| 0.0ms | t | @ | inf | (*.f64 (/.f64 1/2 t) y) |
| 0.0ms | t | @ | -inf | (*.f64 (/.f64 1/2 t) y) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1/2 t) y) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1/2 t) y) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 573× | add-log-exp_binary64 |
| 573× | log1p-expm1-u_binary64 |
| 573× | expm1-log1p-u_binary64 |
| 562× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1560 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1/2 t) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 y t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1/2) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 y t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 y t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 y t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 y t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 y t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 y t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 y t)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 1/2 (/.f64 y t)) |
Compiled 15 to 10 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (-.f64 y z) (*.f64 t 2)) |
Compiled 21 to 11 computations (47.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 y z) (*.f64 t 2)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 y z) (*.f64 t 2)) |
| 1.0ms | z | @ | -inf | (/.f64 (-.f64 y z) (*.f64 t 2)) |
| 1.0ms | z | @ | inf | (/.f64 (-.f64 y z) (*.f64 t 2)) |
| 0.0ms | y | @ | inf | (/.f64 (-.f64 y z) (*.f64 t 2)) |
| 1× | batch-egg-rewrite |
| 730× | prod-diff_binary64 |
| 506× | log-prod_binary64 |
| 326× | egg-rr |
| 277× | pow-prod-down_binary64 |
| 251× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 181 | 10 |
| 2 | 2712 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 y z) (*.f64 t 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (/.f64 1/2 t)))) (sqrt.f64 (*.f64 z (/.f64 1/2 t))) (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) 2)) (/.f64 (sqrt.f64 z) t) (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) t)) (/.f64 (sqrt.f64 z) 2) (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t t)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t t))) (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1/2 t)) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y z) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x 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t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 y z) (/.f64 1/2 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 t (-.f64 y z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1/2 t) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (/.f64 1/2 t)) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/2 t))) 2) (cbrt.f64 (*.f64 y (/.f64 1/2 t))) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (/.f64 1/2 t))) (sqrt.f64 (*.f64 y (/.f64 1/2 t))) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 y t) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (/.f64 y 2) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 t t)) -2) (/.f64 y (cbrt.f64 (+.f64 t t))) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 t t) -1/2) (/.f64 y (sqrt.f64 (+.f64 t t))) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) t) (/.f64 (cbrt.f64 y) 2) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) 2) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 2) (/.f64 (sqrt.f64 y) t) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 2) (/.f64 (cbrt.f64 y) t) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 t t)) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 t t)) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 t t)) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 t t))) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 t t)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 t t))) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 t t))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 t t))) (neg.f64 (*.f64 z (/.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 t t))) (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 t t))) (neg.f64 (*.f64 z (/.f64 1/2 t)))))))) |
| 1× | egg-herbie |
| 729× | fma-def_binary64 |
| 395× | fma-neg_binary64 |
| 137× | cancel-sign-sub-inv_binary64 |
| 123× | distribute-rgt-in_binary64 |
| 100× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 462 |
| 1 | 28 | 462 |
| 2 | 55 | 462 |
| 3 | 93 | 342 |
| 4 | 178 | 342 |
| 5 | 302 | 342 |
| 6 | 549 | 342 |
| 7 | 886 | 342 |
| 8 | 1392 | 342 |
| 9 | 1934 | 342 |
| 10 | 2627 | 342 |
| 11 | 2763 | 342 |
| 12 | 2795 | 342 |
| 13 | 2800 | 342 |
| 14 | 2800 | 342 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 y t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 -1/2 z) t) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 y (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 y (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 y t)) |
(*.f64 y (/.f64 1/2 t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 -1/2 z) t) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 -1/2 z) t) |
(/.f64 z (/.f64 t -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(+.f64 (*.f64 -1/2 (/.f64 z t)) (*.f64 1/2 (/.f64 y t))) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
(*.f64 1/2 (/.f64 (-.f64 y z) t)) |
(fma.f64 -1/2 (/.f64 z t) (*.f64 1/2 (/.f64 y t))) |
(*.f64 -1/2 (/.f64 (-.f64 z y) t)) |
Compiled 13744 to 5896 computations (57.1% saved)
12 alts after pruning (0 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 354 | 0 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 11 | 11 |
| Total | 354 | 12 | 366 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| ✓ | 17.1b | (*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| ✓ | 22.9b | (/.f64 (+.f64 y x) (*.f64 t 2)) |
| ✓ | 39.1b | (*.f64 -1/2 (/.f64 z t)) |
| ✓ | 22.9b | (/.f64 (-.f64 x z) (*.f64 t 2)) |
| ✓ | 45.0b | (/.f64 (*.f64 1/2 x) t) |
| ✓ | 22.9b | (+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
| ✓ | 39.2b | (*.f64 (/.f64 1/2 t) y) |
| ✓ | 39.2b | (*.f64 z (/.f64 -1/2 t)) |
| ✓ | 39.3b | (/.f64 -1/2 (/.f64 t z)) |
| ✓ | 39.1b | (/.f64 (*.f64 1/2 y) t) |
| ✓ | 17.2b | (/.f64 (-.f64 y z) (*.f64 t 2)) |
Compiled 126 to 94 computations (25.4% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
(*.f64 z (/.f64 -1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 x (*.f64 t 2)) |
(/.f64 (*.f64 1/2 y) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(/.f64 (+.f64 y x) (*.f64 t 2)) |
(/.f64 (-.f64 x z) (*.f64 t 2)) |
(/.f64 (-.f64 y z) (*.f64 t 2)) |
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
(+.f64 (/.f64 y (/.f64 t 1/2)) (*.f64 (/.f64 1/2 t) x)) |
(+.f64 (*.f64 (/.f64 1/2 t) (-.f64 y z)) (*.f64 (/.f64 1/2 t) x)) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
8 calls:
| 19.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
| 19.0ms | x |
| 19.0ms | (*.f64 t 2) |
| 19.0ms | (-.f64 (+.f64 x y) z) |
| 19.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | y |
| 0.3b | 1 | z |
| 0.3b | 1 | t |
| 0.3b | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
| 0.3b | 1 | (-.f64 (+.f64 x y) z) |
| 0.3b | 1 | (+.f64 x y) |
| 0.3b | 1 | (*.f64 t 2) |
Compiled 175 to 111 computations (36.6% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
(*.f64 z (/.f64 -1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 x (*.f64 t 2)) |
(/.f64 (*.f64 1/2 y) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(/.f64 (+.f64 y x) (*.f64 t 2)) |
(/.f64 (-.f64 x z) (*.f64 t 2)) |
(/.f64 (-.f64 y z) (*.f64 t 2)) |
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
| Outputs |
|---|
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
6 calls:
| 11.0ms | y |
| 10.0ms | (*.f64 t 2) |
| 10.0ms | z |
| 10.0ms | (*.f64 t 2) |
| 8.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | y |
| 0.3b | 1 | z |
| 0.3b | 1 | t |
| 0.3b | 1 | (*.f64 t 2) |
| 0.3b | 1 | (*.f64 t 2) |
Compiled 120 to 78 computations (35% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
(*.f64 z (/.f64 -1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 x (*.f64 t 2)) |
(/.f64 (*.f64 1/2 y) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(/.f64 (+.f64 y x) (*.f64 t 2)) |
(/.f64 (-.f64 x z) (*.f64 t 2)) |
(/.f64 (-.f64 y z) (*.f64 t 2)) |
| Outputs |
|---|
(/.f64 (-.f64 x z) (*.f64 t 2)) |
(/.f64 (-.f64 y z) (*.f64 t 2)) |
6 calls:
| 139.0ms | (*.f64 t 2) |
| 80.0ms | t |
| 52.0ms | y |
| 38.0ms | (*.f64 t 2) |
| 31.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 6.6b | 2 | x |
| 4.5b | 2 | y |
| 7.2b | 3 | z |
| 14.5b | 5 | t |
| 14.5b | 5 | (*.f64 t 2) |
| 14.5b | 5 | (*.f64 t 2) |
Compiled 111 to 74 computations (33.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 9.09041517759575e-69 | 3.5952067883380883e-68 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
(*.f64 z (/.f64 -1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 x (*.f64 t 2)) |
(/.f64 (*.f64 1/2 y) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(/.f64 (+.f64 y x) (*.f64 t 2)) |
(/.f64 (-.f64 x z) (*.f64 t 2)) |
| Outputs |
|---|
(/.f64 (-.f64 x z) (*.f64 t 2)) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
6 calls:
| 64.0ms | (*.f64 t 2) |
| 45.0ms | (*.f64 t 2) |
| 44.0ms | t |
| 30.0ms | z |
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.6b | 2 | x |
| 4.6b | 2 | y |
| 7.2b | 3 | z |
| 14.6b | 5 | t |
| 14.6b | 5 | (*.f64 t 2) |
| 14.6b | 5 | (*.f64 t 2) |
Compiled 104 to 71 computations (31.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 9.09041517759575e-69 | 3.5952067883380883e-68 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
(*.f64 z (/.f64 -1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 x (*.f64 t 2)) |
(/.f64 (*.f64 1/2 y) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(/.f64 (+.f64 y x) (*.f64 t 2)) |
| Outputs |
|---|
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(/.f64 (+.f64 y x) (*.f64 t 2)) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
6 calls:
| 691.0ms | (*.f64 t 2) |
| 40.0ms | z |
| 37.0ms | y |
| 35.0ms | (*.f64 t 2) |
| 30.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 8.4b | 2 | x |
| 11.1b | 6 | y |
| 7.2b | 3 | z |
| 14.6b | 5 | t |
| 14.6b | 5 | (*.f64 t 2) |
| 14.6b | 5 | (*.f64 t 2) |
Compiled 97 to 67 computations (30.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 9.793595996424329e-24 | 6.557303942950977e-21 |
| 41.0ms | -0.0004270739275422078 | -7.236897457828753e-8 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
(*.f64 z (/.f64 -1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 x (*.f64 t 2)) |
(/.f64 (*.f64 1/2 y) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
| Outputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (-.f64 y z) (/.f64 1/2 t)) |
5 calls:
| 115.0ms | x |
| 104.0ms | y |
| 17.0ms | (*.f64 t 2) |
| 15.0ms | z |
| 13.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 9.3b | 6 | x |
| 11.8b | 6 | y |
| 17.1b | 1 | z |
| 17.1b | 1 | t |
| 17.1b | 1 | (*.f64 t 2) |
Compiled 83 to 57 computations (31.3% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 38.0ms | -2.7819515744491045e+27 | -5.558228200233164e+26 |
| 39.0ms | -1.232040060606032e+69 | -9.628277003956937e+61 |
| 38.0ms | -2.032335729972429e+87 | -7.085187505638683e+86 |
| 170.0ms | -9.154822214326723e+194 | -1.9705324747140524e+191 |
| 28.0ms | -3.2535416170327683e+232 | -2.2483139780827492e+232 |
Compiled 262 to 202 computations (22.9% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
(*.f64 z (/.f64 -1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 x (*.f64 t 2)) |
(/.f64 (*.f64 1/2 y) t) |
| Outputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 1/2 x) t) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 1/2 x) t) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 1/2 y) t) |
5 calls:
| 117.0ms | (*.f64 t 2) |
| 115.0ms | t |
| 88.0ms | y |
| 87.0ms | x |
| 81.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 8 | x |
| 19.7b | 7 | y |
| 24.6b | 6 | z |
| 31.6b | 10 | t |
| 31.6b | 10 | (*.f64 t 2) |
Compiled 76 to 53 computations (30.3% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.2677055827045534e-6 | 8.327307075819474e-6 |
| 34.0ms | 1.7058390288661465e-74 | 2.136295091118311e-74 |
| 35.0ms | 5.516225809719667e-106 | 4.857396776775265e-104 |
| 36.0ms | 4.0487655050718834e-206 | 9.792506722849234e-206 |
| 36.0ms | 1.955149164768997e-257 | 1.0221208190282665e-255 |
| 36.0ms | -9.557169910237266e-200 | -3.6492040670458744e-203 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
(*.f64 z (/.f64 -1/2 t)) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 x (*.f64 t 2)) |
| Outputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 1/2 x) t) |
(*.f64 -1/2 (/.f64 z t)) |
(/.f64 (*.f64 1/2 x) t) |
(*.f64 -1/2 (/.f64 z t)) |
(*.f64 (/.f64 1/2 t) y) |
5 calls:
| 104.0ms | t |
| 99.0ms | (*.f64 t 2) |
| 91.0ms | x |
| 85.0ms | y |
| 71.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 23.7b | 8 | x |
| 19.7b | 7 | y |
| 24.7b | 6 | z |
| 31.6b | 10 | t |
| 31.6b | 10 | (*.f64 t 2) |
Compiled 71 to 50 computations (29.6% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 1.2677055827045534e-6 | 8.327307075819474e-6 |
| 37.0ms | 1.7058390288661465e-74 | 2.136295091118311e-74 |
| 38.0ms | 5.516225809719667e-106 | 4.857396776775265e-104 |
| 38.0ms | 4.0487655050718834e-206 | 9.792506722849234e-206 |
| 38.0ms | 1.955149164768997e-257 | 1.0221208190282665e-255 |
| 39.0ms | -9.557169910237266e-200 | -3.6492040670458744e-203 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
(*.f64 z (/.f64 -1/2 t)) |
| Outputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 (*.f64 1/2 x) t) |
(*.f64 z (/.f64 -1/2 t)) |
(/.f64 (*.f64 1/2 x) t) |
(/.f64 -1/2 (/.f64 t z)) |
(*.f64 (/.f64 1/2 t) y) |
4 calls:
| 86.0ms | t |
| 35.0ms | x |
| 35.0ms | y |
| 30.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 23.7b | 8 | x |
| 19.8b | 7 | y |
| 24.8b | 6 | z |
| 31.7b | 10 | t |
Compiled 54 to 38 computations (29.6% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.2677055827045534e-6 | 8.327307075819474e-6 |
| 37.0ms | 1.7058390288661465e-74 | 2.136295091118311e-74 |
| 38.0ms | 5.516225809719667e-106 | 4.857396776775265e-104 |
| 37.0ms | 4.0487655050718834e-206 | 9.792506722849234e-206 |
| 37.0ms | 1.955149164768997e-257 | 1.0221208190282665e-255 |
| 25.0ms | -9.557169910237266e-200 | -3.6492040670458744e-203 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 x (/.f64 t 1/2)) |
(/.f64 1/2 (/.f64 t y)) |
| Outputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 (*.f64 1/2 x) t) |
(/.f64 -1/2 (/.f64 t z)) |
(/.f64 (*.f64 1/2 x) t) |
(/.f64 -1/2 (/.f64 t z)) |
(*.f64 (/.f64 1/2 t) y) |
4 calls:
| 60.0ms | t |
| 33.0ms | x |
| 31.0ms | y |
| 16.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 23.7b | 8 | x |
| 19.9b | 7 | y |
| 26.1b | 3 | z |
| 31.8b | 10 | t |
Compiled 49 to 35 computations (28.6% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.2677055827045534e-6 | 8.327307075819474e-6 |
| 19.0ms | 1.7058390288661465e-74 | 2.136295091118311e-74 |
| 20.0ms | 5.516225809719667e-106 | 4.857396776775265e-104 |
| 19.0ms | 4.0487655050718834e-206 | 9.792506722849234e-206 |
| 19.0ms | 1.955149164768997e-257 | 1.0221208190282665e-255 |
| 20.0ms | -9.557169910237266e-200 | -3.6492040670458744e-203 |
Compiled 20 to 15 computations (25% saved)
Total -33.9b remaining (-125.9%)
Threshold costs -33.9b (-125.9%)
| Inputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
| Outputs |
|---|
(/.f64 (*.f64 1/2 x) t) |
(*.f64 (/.f64 1/2 t) y) |
4 calls:
| 9.0ms | y |
| 9.0ms | x |
| 3.0ms | z |
| 3.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 29.1b | 2 | x |
| 27.0b | 2 | y |
| 39.2b | 1 | z |
| 39.2b | 1 | t |
Compiled 34 to 26 computations (23.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.5952067883380883e-68 | 8.16065931278957e-65 |
Compiled 20 to 15 computations (25% saved)
| 1× | egg-herbie |
| 9× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 568 |
| 1 | 110 | 568 |
| 2 | 117 | 568 |
| 3 | 119 | 568 |
| 4 | 120 | 568 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
(if (<=.f64 y 8829833391465945/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (-.f64 x z) (*.f64 t 2)) (/.f64 (-.f64 y z) (*.f64 t 2))) |
(if (<=.f64 y 8829833391465945/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (-.f64 x z) (*.f64 t 2)) (*.f64 (-.f64 y z) (/.f64 1/2 t))) |
(if (<=.f64 z -1969530860481271/4611686018427387904) (*.f64 (-.f64 y z) (/.f64 1/2 t)) (if (<=.f64 z 6665176052661395/680564733841876926926749214863536422912) (/.f64 (+.f64 y x) (*.f64 t 2)) (*.f64 (-.f64 y z) (/.f64 1/2 t)))) |
(if (<=.f64 x -32000000000000001807213152656666925274900044223457867990418085252974610046962502310055032370862719455352581419121163587090111380627421564073765124659304952941433086089729994234194055618642920861427186825769656104716859158281444130816) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -200000000000000014511834319463755672206068485756227456491366879679442034498413781489041363634864839034812519537373514423226695063272748275429807315600786435844252490365053846416064219908669440) (*.f64 (-.f64 y z) (/.f64 1/2 t)) (if (<=.f64 x -2032335729972429011590589301733533422906225933371431885933066674929722872564946294538240) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -1232040060606032029860720949134213231417285168577970467895681914765312) (*.f64 (-.f64 y z) (/.f64 1/2 t)) (if (<=.f64 x -2781951574449104538098991104) (/.f64 (*.f64 1/2 x) t) (*.f64 (-.f64 y z) (/.f64 1/2 t))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (*.f64 -1/2 (/.f64 z t)) (/.f64 (*.f64 1/2 y) t))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (*.f64 -1/2 (/.f64 z t)) (*.f64 (/.f64 1/2 t) y))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (*.f64 z (/.f64 -1/2 t)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (/.f64 -1/2 (/.f64 t z)) (*.f64 (/.f64 1/2 t) y))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (/.f64 -1/2 (/.f64 t z)) (*.f64 (/.f64 1/2 t) y))))))) |
(if (<=.f64 y 8730370486028969/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 (*.f64 1/2 x) t) (*.f64 (/.f64 1/2 t) y)) |
(/.f64 (*.f64 1/2 x) t) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)) |
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t)) |
(if (<=.f64 y 8829833391465945/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (-.f64 x z) (*.f64 t 2)) (/.f64 (-.f64 y z) (*.f64 t 2))) |
(if (<=.f64 y 8829833391465945/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (-.f64 x z) (*.f64 t 2)) (*.f64 (-.f64 y z) (/.f64 1/2 t))) |
(if (<=.f64 z -1969530860481271/4611686018427387904) (*.f64 (-.f64 y z) (/.f64 1/2 t)) (if (<=.f64 z 6665176052661395/680564733841876926926749214863536422912) (/.f64 (+.f64 y x) (*.f64 t 2)) (*.f64 (-.f64 y z) (/.f64 1/2 t)))) |
(if (<=.f64 z -1969530860481271/4611686018427387904) (*.f64 (-.f64 y z) (/.f64 1/2 t)) (if (<=.f64 z 6665176052661395/680564733841876926926749214863536422912) (/.f64 (+.f64 x y) (*.f64 t 2)) (*.f64 (-.f64 y z) (/.f64 1/2 t)))) |
(if (<=.f64 x -32000000000000001807213152656666925274900044223457867990418085252974610046962502310055032370862719455352581419121163587090111380627421564073765124659304952941433086089729994234194055618642920861427186825769656104716859158281444130816) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -200000000000000014511834319463755672206068485756227456491366879679442034498413781489041363634864839034812519537373514423226695063272748275429807315600786435844252490365053846416064219908669440) (*.f64 (-.f64 y z) (/.f64 1/2 t)) (if (<=.f64 x -2032335729972429011590589301733533422906225933371431885933066674929722872564946294538240) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 x -1232040060606032029860720949134213231417285168577970467895681914765312) (*.f64 (-.f64 y z) (/.f64 1/2 t)) (if (<=.f64 x -2781951574449104538098991104) (/.f64 (*.f64 1/2 x) t) (*.f64 (-.f64 y z) (/.f64 1/2 t))))))) |
(if (<=.f64 x -32000000000000001807213152656666925274900044223457867990418085252974610046962502310055032370862719455352581419121163587090111380627421564073765124659304952941433086089729994234194055618642920861427186825769656104716859158281444130816) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 x -200000000000000014511834319463755672206068485756227456491366879679442034498413781489041363634864839034812519537373514423226695063272748275429807315600786435844252490365053846416064219908669440) (*.f64 (-.f64 y z) (/.f64 1/2 t)) (if (<=.f64 x -2032335729972429011590589301733533422906225933371431885933066674929722872564946294538240) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 x -1232040060606032029860720949134213231417285168577970467895681914765312) (*.f64 (-.f64 y z) (/.f64 1/2 t)) (if (<=.f64 x -2781951574449104538098991104) (/.f64 (*.f64 x 1/2) t) (*.f64 (-.f64 y z) (/.f64 1/2 t))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (*.f64 -1/2 (/.f64 z t)) (/.f64 (*.f64 1/2 y) t))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (*.f64 -1/2 (/.f64 z t)) (/.f64 (*.f64 y 1/2) t))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (*.f64 -1/2 (/.f64 z t)) (*.f64 (/.f64 1/2 t) y))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (*.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (*.f64 -1/2 (/.f64 z t)) (*.f64 y (/.f64 1/2 t)))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (*.f64 z (/.f64 -1/2 t)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (/.f64 -1/2 (/.f64 t z)) (*.f64 (/.f64 1/2 t) y))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (*.f64 z (/.f64 -1/2 t)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (/.f64 -1/2 (/.f64 t z)) (*.f64 y (/.f64 1/2 t)))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 1/2 x) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (/.f64 -1/2 (/.f64 t z)) (*.f64 (/.f64 1/2 t) y))))))) |
(if (<=.f64 y -2059141634541031/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 5288420409865855/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 y 457350812074373/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 5697709369859387/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 -1/2 (/.f64 t z)) (if (<=.f64 y 2171784669772389/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 x 1/2) t) (if (<=.f64 y 1496642588477679/1180591620717411303424) (/.f64 -1/2 (/.f64 t z)) (*.f64 y (/.f64 1/2 t)))))))) |
(if (<=.f64 y 8730370486028969/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 (*.f64 1/2 x) t) (*.f64 (/.f64 1/2 t) y)) |
(if (<=.f64 y 8730370486028969/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 (*.f64 x 1/2) t) (*.f64 y (/.f64 1/2 t))) |
(/.f64 (*.f64 1/2 x) t) |
(/.f64 (*.f64 x 1/2) t) |
Compiled 442 to 292 computations (33.9% saved)
(sort x y)
Compiled 424 to 258 computations (39.2% saved)
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