Time bar (total: 2.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 25% | 72.5% | 2.5% | 9 |
| 34.3% | 59.3% | 6.4% | 10 |
| 40.6% | 51.3% | 8.1% | 11 |
| 46.8% | 43.2% | 10% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 853.0ms | 8256× | body | 256 | valid |
| 113.0ms | 1155× | body | 256 | invalid |
| 2× | egg-herbie |
| 188× | fma-def_binary64 |
| 26× | +-commutative_binary64 |
| 22× | distribute-rgt-in_binary64 |
| 18× | *-commutative_binary64 |
| 16× | associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 42 | 32 |
| 2 | 130 | 32 |
| 3 | 183 | 32 |
| 4 | 202 | 32 |
| 5 | 228 | 32 |
| 6 | 252 | 32 |
| 7 | 324 | 32 |
| 8 | 397 | 32 |
| 9 | 416 | 32 |
| 10 | 420 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 y (*.f64 x (+.f64 z y))) |
(+.f64 z (*.f64 y (+.f64 x z))) |
(+.f64 x (*.f64 z (+.f64 y x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 x (*.f64 y (+.f64 x z))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 y (*.f64 x (+.f64 z y))) |
(+.f64 y (*.f64 x (+.f64 y z))) |
(fma.f64 x (+.f64 y z) y) |
(+.f64 z (*.f64 y (+.f64 x z))) |
(fma.f64 y (+.f64 x z) z) |
(+.f64 x (*.f64 z (+.f64 y x))) |
(+.f64 x (*.f64 z (+.f64 x y))) |
(fma.f64 z (+.f64 x y) x) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 66× | fma-def_binary64 |
| 8× | +-commutative_binary64 |
| 8× | associate-*r*_binary64 |
| 8× | associate-*l*_binary64 |
| 6× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 16 | 8 |
| 2 | 35 | 8 |
| 3 | 50 | 8 |
| 4 | 59 | 8 |
| 5 | 66 | 8 |
| 6 | 72 | 8 |
| 7 | 91 | 8 |
| 8 | 107 | 8 |
| 9 | 121 | 8 |
| 10 | 139 | 8 |
| 11 | 146 | 8 |
| 12 | 147 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 x (*.f64 y (+.f64 x z))) |
(fma.f64 y (+.f64 x z) x) |
Compiled 16 to 8 computations (50% 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 |
|---|---|---|
| ▶ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ▶ | 0.0b | (fma.f64 y (+.f64 x z) x) |
Compiled 19 to 11 computations (42.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 y (+.f64 x z) x) | |
| ✓ | 0.0b | (fma.f64 y (+.f64 x z) x) |
Compiled 15 to 5 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (fma.f64 y (+.f64 x z) x) |
| 1.0ms | z | @ | 0 | (fma.f64 y (+.f64 x z) x) |
| 1.0ms | y | @ | 0 | (fma.f64 y (+.f64 x z) x) |
| 1.0ms | y | @ | inf | (fma.f64 y (+.f64 x z) x) |
| 1.0ms | x | @ | -inf | (fma.f64 y (+.f64 x z) x) |
| 1× | batch-egg-rewrite |
| 730× | pow1_binary64 |
| 677× | add-log-exp_binary64 |
| 677× | log1p-expm1-u_binary64 |
| 677× | expm1-log1p-u_binary64 |
| 661× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 129 | 8 |
| 2 | 1785 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (+.f64 x z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (+.f64 x z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (+.f64 x z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2) (cbrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) (sqrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 x z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) x))))))) |
| 1× | egg-herbie |
| 314× | fma-neg_binary64 |
| 256× | fma-def_binary64 |
| 76× | cancel-sign-sub-inv_binary64 |
| 56× | distribute-rgt-in_binary64 |
| 46× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 258 |
| 1 | 52 | 258 |
| 2 | 101 | 258 |
| 3 | 198 | 258 |
| 4 | 345 | 258 |
| 5 | 654 | 258 |
| 6 | 1085 | 258 |
| 7 | 1354 | 258 |
| 8 | 1378 | 258 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) | |
| 0.0b | (*.f64 y (+.f64 z x)) | |
| ✓ | 0.0b | (*.f64 y (+.f64 z x)) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 y (+.f64 z x)) |
| 1.0ms | y | @ | inf | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | y | @ | -inf | (+.f64 x (*.f64 y (+.f64 z x))) |
| 0.0ms | x | @ | -inf | (+.f64 x (*.f64 y (+.f64 z x))) |
| 0.0ms | x | @ | inf | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1× | batch-egg-rewrite |
| 621× | unpow-prod-down_binary64 |
| 444× | fma-def_binary64 |
| 429× | log-prod_binary64 |
| 346× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 163 | 15 |
| 2 | 2590 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(*.f64 y (+.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 x z)))) (/.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) (-.f64 x (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2) (cbrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) (sqrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x z)) (-.f64 (*.f64 y (+.f64 x z)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 y (+.f64 x z)) (-.f64 (*.f64 y (+.f64 x z)) x) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2)) (/.f64 1 (-.f64 x (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 y (+.f64 x z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 y (+.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y (+.f64 x z) x) (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 2) 3) (cbrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (+.f64 x z)) (-.f64 (*.f64 y (+.f64 x z)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3)) (fma.f64 (*.f64 y (+.f64 x z)) (-.f64 (*.f64 y (+.f64 x z)) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2)) (-.f64 x (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3))) (neg.f64 (fma.f64 (*.f64 y (+.f64 x z)) (-.f64 (*.f64 y (+.f64 x z)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2))) (neg.f64 (-.f64 x (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 x z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 2) 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y)) (sqrt.f64 y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z)))))))) |
| 1× | egg-herbie |
| 306× | fma-neg_binary64 |
| 258× | fma-def_binary64 |
| 75× | cancel-sign-sub-inv_binary64 |
| 55× | distribute-rgt-in_binary64 |
| 47× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 408 |
| 1 | 54 | 408 |
| 2 | 104 | 408 |
| 3 | 200 | 408 |
| 4 | 344 | 408 |
| 5 | 654 | 408 |
| 6 | 1076 | 408 |
| 7 | 1346 | 408 |
| 8 | 1370 | 408 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(fma.f64 y x x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 z x) x) |
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
Compiled 2338 to 692 computations (70.4% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 6 | 189 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 183 | 8 | 191 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ▶ | 44.0b | (*.f64 y z) |
| 30.9b | x | |
| ▶ | 19.3b | (+.f64 (*.f64 y x) x) |
| ▶ | 32.6b | (*.f64 y (+.f64 z x)) |
| ✓ | 0.0b | (fma.f64 y (+.f64 x z) x) |
| ▶ | 19.3b | (*.f64 (+.f64 1 y) x) |
Compiled 107 to 70 computations (34.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (+.f64 1 y) x) | |
| 0.0b | (+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) | |
| ✓ | 0.0b | (+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
| ✓ | 0.0b | (*.f64 (+.f64 1 y) x) |
Compiled 27 to 14 computations (48.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (+.f64 1 y) x) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 1 y) x) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 1 y) x) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 1 y) x) |
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
| 1× | batch-egg-rewrite |
| 465× | log-prod_binary64 |
| 440× | fma-def_binary64 |
| 413× | prod-exp_binary64 |
| 353× | pow-prod-down_binary64 |
| 346× | exp-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 191 | 18 |
| 2 | 2622 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (fma.f64 y (-.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y x x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y x x)))) (sqrt.f64 (log.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y x x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y x x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 y) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 y) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 y) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y z (fma.f64 y x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 y z) (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) 2) (-.f64 (*.f64 y z) (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z (fma.f64 y x x))) (pow.f64 (cbrt.f64 (fma.f64 y z (fma.f64 y x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (fma.f64 y x x))) 2) (cbrt.f64 (fma.f64 y z (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z (fma.f64 y x x))) (sqrt.f64 (fma.f64 y z (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3)) (/.f64 1 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2)) (/.f64 1 (-.f64 (*.f64 y z) (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y z) (fma.f64 y x x)) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3)) (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3)) (+.f64 (pow.f64 (fma.f64 y x x) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 y (*.f64 z (fma.f64 y x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2)) (-.f64 (*.f64 y z) (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3))) (neg.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2))) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x x) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (fma.f64 y x x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y z (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 y z (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z (fma.f64 y x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z (fma.f64 y x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z (fma.f64 y x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y z (fma.f64 y x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y z) (fma.f64 y x x)) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y z (fma.f64 y x x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 y z (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y z (fma.f64 y x x))))) (sqrt.f64 (log.f64 (fma.f64 y z (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y z (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))) (pow.f64 (exp.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y x x)) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (exp.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (+.f64 1 (expm1.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 y x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 y) x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 1 y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y x x) 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 1 y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) (*.f64 (cbrt.f64 (+.f64 1 y)) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 1 y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 (sqrt.f64 (+.f64 1 y)) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (+.f64 1 y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y z (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y z (fma.f64 y x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y z (fma.f64 y x x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y z (fma.f64 y x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y z (fma.f64 y x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y z (fma.f64 y x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z (fma.f64 y x x)))))))) |
| 1× | egg-herbie |
| 316× | fma-def_binary64 |
| 295× | fma-neg_binary64 |
| 58× | cancel-sign-sub-inv_binary64 |
| 57× | unsub-neg_binary64 |
| 38× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 168 |
| 1 | 56 | 168 |
| 2 | 136 | 168 |
| 3 | 266 | 168 |
| 4 | 561 | 168 |
| 5 | 926 | 168 |
| 6 | 1198 | 168 |
| 7 | 1298 | 168 |
| 8 | 1300 | 168 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
Compiled 8 to 4 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (+.f64 1 y) x) | |
| 0.0b | (*.f64 (+.f64 1 y) x) |
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (+.f64 z x)) | |
| 0.0b | (*.f64 y (+.f64 z x)) |
Compiled 14 to 5 computations (64.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 y x) x) | |
| ✓ | 0.0b | (+.f64 (*.f64 y x) x) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y x) x) |
| 1× | batch-egg-rewrite |
| 633× | pow1_binary64 |
| 590× | add-log-exp_binary64 |
| 589× | log1p-expm1-u_binary64 |
| 589× | expm1-log1p-u_binary64 |
| 577× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 5 |
| 1 | 112 | 5 |
| 2 | 1605 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) 2)) (-.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x x))))))) |
| 1× | egg-herbie |
| 66× | fma-def_binary64 |
| 57× | fma-neg_binary64 |
| 20× | unsub-neg_binary64 |
| 19× | distribute-rgt-in_binary64 |
| 16× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 93 |
| 1 | 27 | 93 |
| 2 | 58 | 69 |
| 3 | 139 | 69 |
| 4 | 235 | 69 |
| 5 | 333 | 69 |
| 6 | 398 | 69 |
| 1× | saturated |
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
| Outputs |
|---|
x |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
Compiled 3370 to 1092 computations (67.6% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 294 | 2 | 296 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 294 | 10 | 304 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ▶ | 51.4b | (*.f64 x y) |
| 30.9b | x | |
| ▶ | 12.8b | (+.f64 (*.f64 y z) x) |
| ✓ | 44.0b | (*.f64 y z) |
| ✓ | 19.3b | (+.f64 (*.f64 y x) x) |
| ✓ | 32.6b | (*.f64 y (+.f64 z x)) |
| ✓ | 0.0b | (fma.f64 y (+.f64 x z) x) |
| ✓ | 19.3b | (*.f64 (+.f64 1 y) x) |
Compiled 79 to 51 computations (35.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 y z) x) | |
| ✓ | 0.0b | (+.f64 (*.f64 y z) x) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 y z) x) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y z) x) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 y z) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 y z) x) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y z) x) |
| 1× | batch-egg-rewrite |
| 707× | pow1_binary64 |
| 655× | add-log-exp_binary64 |
| 655× | log1p-expm1-u_binary64 |
| 655× | expm1-log1p-u_binary64 |
| 640× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 129 | 5 |
| 2 | 1772 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (-.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (-.f64 x (*.f64 y z)))) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y z) x) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 y (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (-.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))))) (#(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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))))) (#(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 log1p.f64 (expm1.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z x))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 24 |
| 1 | 6 | 24 |
| 1× | saturated |
| Inputs |
|---|
x |
(*.f64 y z) |
(*.f64 y z) |
x |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
x |
x |
| Outputs |
|---|
x |
(*.f64 y z) |
(*.f64 y z) |
x |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
x |
x |
Compiled 8 to 4 computations (50% saved)
Compiled 415 to 152 computations (63.4% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 35 | 2 | 37 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 37 | 10 | 47 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ▶ | 12.8b | (fma.f64 y z x) |
| ✓ | 51.4b | (*.f64 x y) |
| ✓ | 12.8b | (+.f64 (*.f64 y z) x) |
| ✓ | 44.0b | (*.f64 y z) |
| ✓ | 19.3b | (+.f64 (*.f64 y x) x) |
| ✓ | 32.6b | (*.f64 y (+.f64 z x)) |
| ✓ | 19.3b | (*.f64 (+.f64 1 y) x) |
| 30.9b | x |
Compiled 77 to 50 computations (35.1% saved)
Compiled 10 to 4 computations (60% saved)
Compiled 3 to 3 computations (0% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 0 | 10 | 10 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ✓ | 12.8b | (fma.f64 y z x) |
| ✓ | 51.4b | (*.f64 x y) |
| ✓ | 12.8b | (+.f64 (*.f64 y z) x) |
| ✓ | 44.0b | (*.f64 y z) |
| ✓ | 19.3b | (+.f64 (*.f64 y x) x) |
| ✓ | 32.6b | (*.f64 y (+.f64 z x)) |
| ✓ | 19.3b | (*.f64 (+.f64 1 y) x) |
| 30.9b | x |
Compiled 77 to 50 computations (35.1% saved)
| Inputs |
|---|
x |
(*.f64 y z) |
(*.f64 x y) |
(*.f64 (+.f64 1 y) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y z x) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
4 calls:
| 44.0ms | x |
| 7.0ms | z |
| 6.0ms | y |
| 6.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 72 to 34 computations (52.8% saved)
| Inputs |
|---|
x |
(*.f64 y z) |
(*.f64 x y) |
(*.f64 (+.f64 1 y) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y z) x) |
| Outputs |
|---|
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) x) |
(*.f64 y (+.f64 z x)) |
3 calls:
| 21.0ms | x |
| 17.0ms | y |
| 15.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 8.2b | 3 | x |
| 1.7b | 3 | y |
| 7.6b | 3 | z |
Compiled 42 to 22 computations (47.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.49982573943127834 | 181.34251334716734 |
| 20.0ms | -261.6656354089385 | -0.9651042589448935 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
(*.f64 y z) |
(*.f64 x y) |
(*.f64 (+.f64 1 y) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y x) x) |
(*.f64 y (+.f64 z x)) |
3 calls:
| 24.0ms | z |
| 19.0ms | x |
| 18.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.7b | 3 | x |
| 7.9b | 3 | y |
| 14.7b | 5 | z |
Compiled 37 to 21 computations (43.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 181.34251334716734 | 8325063990491.886 |
| 18.0ms | -0.01945197776208129 | -0.00048705522149358884 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
(*.f64 y z) |
(*.f64 x y) |
(*.f64 (+.f64 1 y) x) |
(*.f64 y (+.f64 z x)) |
| Outputs |
|---|
(*.f64 y (+.f64 z x)) |
(*.f64 (+.f64 1 y) x) |
(*.f64 y (+.f64 z x)) |
3 calls:
| 21.0ms | z |
| 17.0ms | x |
| 13.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.8b | 3 | x |
| 7.9b | 3 | y |
| 14.7b | 5 | z |
Compiled 32 to 19 computations (40.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 181.34251334716734 | 8325063990491.886 |
| 17.0ms | -0.01945197776208129 | -0.00048705522149358884 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
(*.f64 y z) |
(*.f64 x y) |
(*.f64 (+.f64 1 y) x) |
| Outputs |
|---|
(*.f64 (+.f64 1 y) x) |
(*.f64 y z) |
(*.f64 (+.f64 1 y) x) |
3 calls:
| 21.0ms | y |
| 17.0ms | z |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.8b | 3 | x |
| 14.9b | 6 | y |
| 15.5b | 5 | z |
Compiled 27 to 17 computations (37% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 4.054217095555388e-207 | 6.365478119280636e-196 |
| 18.0ms | -8.901550466599928e-130 | -3.570117401918029e-132 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
(*.f64 y z) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 y z) |
(*.f64 x y) |
x |
(*.f64 y z) |
(*.f64 x y) |
(*.f64 y z) |
3 calls:
| 27.0ms | y |
| 20.0ms | x |
| 16.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 22.5b | 6 | x |
| 16.4b | 6 | y |
| 26.6b | 5 | z |
Compiled 22 to 14 computations (36.4% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 6.0893395062291016e+218 | 8.944888578502605e+227 |
| 49.0ms | 3.052903502282512e+102 | 1.2199173422415375e+106 |
| 17.0ms | 4.430201284904959e-38 | 1.0199220162727158e-33 |
| 18.0ms | -261.6656354089385 | -0.9651042589448935 |
| 48.0ms | -4.281866357976684e+133 | -3.115523737966361e+126 |
Compiled 380 to 271 computations (28.7% saved)
Total -42.4b remaining (-216.8%)
Threshold costs -42.4b (-216.8%)
| Inputs |
|---|
x |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 y z) |
x |
(*.f64 y z) |
3 calls:
| 15.0ms | z |
| 11.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 23.5b | 3 | x |
| 19.5b | 3 | y |
| 26.6b | 5 | z |
Compiled 19 to 13 computations (31.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.430201284904959e-38 | 1.0199220162727158e-33 |
| 19.0ms | -1.945123915103414e-5 | -2.448942984900919e-21 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 212 |
| 1 | 64 | 212 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(if (<=.f64 y -4603270539544373/17592186044416) (*.f64 y (+.f64 z x)) (if (<=.f64 y 9220157496741428224/18446744073709551616) (+.f64 (*.f64 y z) x) (*.f64 y (+.f64 z x)))) |
(if (<=.f64 y -358825655504603008/18446744073709551616) (*.f64 y (+.f64 z x)) (if (<=.f64 y 6380422465130719/35184372088832) (+.f64 (*.f64 y x) x) (*.f64 y (+.f64 z x)))) |
(if (<=.f64 y -358825655504603008/18446744073709551616) (*.f64 y (+.f64 z x)) (if (<=.f64 y 6380422465130719/35184372088832) (*.f64 (+.f64 1 y) x) (*.f64 y (+.f64 z x)))) |
(if (<=.f64 x -2778840226467297/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (*.f64 (+.f64 1 y) x) (if (<=.f64 x 2930986411387367/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (*.f64 y z) (*.f64 (+.f64 1 y) x))) |
(if (<=.f64 y -41999999999999999930057880470329449373069892500413276743969787677465677713541531954409577399412430846837424672464184400902581336932352) (*.f64 y z) (if (<=.f64 y -4603270539544373/17592186044416) (*.f64 x y) (if (<=.f64 y 265205613838093/5986310706507378352962293074805895248510699696029696) x (if (<=.f64 y 12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (*.f64 y z) (if (<=.f64 y 620000000000000031652171528951047752900182548238017079347928823944218233786973143842227611882282439969077796210673464210386160766114069203805496460944527339460267359222228309427212305921540129458548250248093812412907520) (*.f64 x y) (*.f64 y z)))))) |
(if (<=.f64 y -1435248122142585/73786976294838206464) (*.f64 y z) (if (<=.f64 y 265205613838093/5986310706507378352962293074805895248510699696029696) x (*.f64 y z))) |
x |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 x (*.f64 y (+.f64 x z))) |
(if (<=.f64 y -4603270539544373/17592186044416) (*.f64 y (+.f64 z x)) (if (<=.f64 y 9220157496741428224/18446744073709551616) (+.f64 (*.f64 y z) x) (*.f64 y (+.f64 z x)))) |
(if (<=.f64 y -4603270539544373/17592186044416) (*.f64 y (+.f64 x z)) (if (<=.f64 y 9004060055411551/18014398509481984) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 x z)))) |
(if (<=.f64 y -358825655504603008/18446744073709551616) (*.f64 y (+.f64 z x)) (if (<=.f64 y 6380422465130719/35184372088832) (+.f64 (*.f64 y x) x) (*.f64 y (+.f64 z x)))) |
(if (<=.f64 y -2803325433629711/144115188075855872) (*.f64 y (+.f64 x z)) (if (<=.f64 y 6380422465130719/35184372088832) (+.f64 x (*.f64 x y)) (*.f64 y (+.f64 x z)))) |
(if (<=.f64 y -358825655504603008/18446744073709551616) (*.f64 y (+.f64 z x)) (if (<=.f64 y 6380422465130719/35184372088832) (*.f64 (+.f64 1 y) x) (*.f64 y (+.f64 z x)))) |
(if (<=.f64 y -2803325433629711/144115188075855872) (*.f64 y (+.f64 x z)) (if (<=.f64 y 6380422465130719/35184372088832) (*.f64 x (+.f64 y 1)) (*.f64 y (+.f64 x z)))) |
(if (<=.f64 x -2778840226467297/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (*.f64 (+.f64 1 y) x) (if (<=.f64 x 2930986411387367/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (*.f64 y z) (*.f64 (+.f64 1 y) x))) |
(if (<=.f64 x -2778840226467297/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (*.f64 x (+.f64 y 1)) (if (<=.f64 x 2930986411387367/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (*.f64 y z) (*.f64 x (+.f64 y 1)))) |
(if (<=.f64 y -41999999999999999930057880470329449373069892500413276743969787677465677713541531954409577399412430846837424672464184400902581336932352) (*.f64 y z) (if (<=.f64 y -4603270539544373/17592186044416) (*.f64 x y) (if (<=.f64 y 265205613838093/5986310706507378352962293074805895248510699696029696) x (if (<=.f64 y 12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (*.f64 y z) (if (<=.f64 y 620000000000000031652171528951047752900182548238017079347928823944218233786973143842227611882282439969077796210673464210386160766114069203805496460944527339460267359222228309427212305921540129458548250248093812412907520) (*.f64 x y) (*.f64 y z)))))) |
(if (<=.f64 y -1435248122142585/73786976294838206464) (*.f64 y z) (if (<=.f64 y 265205613838093/5986310706507378352962293074805895248510699696029696) x (*.f64 y z))) |
x |
| 1× | fuel |
Compiled 325 to 159 computations (51.1% saved)
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