Time bar (total: 2.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 100% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 75% | 25% | 0% | 5 |
| 87.5% | 12.5% | 0% | 6 |
| 93.7% | 6.2% | 0% | 7 |
| 96.8% | 3.1% | 0% | 8 |
| 98.4% | 1.6% | 0% | 9 |
| 99.2% | 0.8% | 0% | 10 |
| 99.6% | 0.4% | 0% | 11 |
| 99.8% | 0.2% | 0% | 12 |
| 99.9% | 0.1% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 15 to 11 computations (26.7% saved)
| 621.0ms | 2102× | body | 1024 | valid |
| 416.0ms | 4442× | body | 128 | valid |
| 223.0ms | 982× | body | 512 | valid |
| 86.0ms | 222× | body | 2048 | valid |
| 85.0ms | 508× | body | 256 | valid |
Compiled 30 to 22 computations (26.7% saved)
| 2× | egg-herbie |
| 859× | fma-neg_binary64 |
| 764× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 169× | associate-/l*_binary64 |
| 149× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 16 | 19 |
| 2 | 22 | 19 |
| 3 | 34 | 19 |
| 4 | 60 | 19 |
| 5 | 100 | 19 |
| 6 | 205 | 19 |
| 7 | 377 | 19 |
| 8 | 951 | 19 |
| 9 | 2127 | 19 |
| 10 | 2751 | 19 |
| 11 | 3062 | 19 |
| 12 | 3879 | 19 |
| 13 | 4173 | 19 |
| 14 | 4215 | 19 |
| 15 | 4217 | 19 |
| 16 | 4219 | 19 |
| 17 | 4229 | 19 |
| 18 | 4229 | 19 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 859× | fma-neg_binary64 |
| 764× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 169× | associate-/l*_binary64 |
| 149× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 16 | 19 |
| 2 | 22 | 19 |
| 3 | 34 | 19 |
| 4 | 60 | 19 |
| 5 | 100 | 19 |
| 6 | 205 | 19 |
| 7 | 377 | 19 |
| 8 | 951 | 19 |
| 9 | 2127 | 19 |
| 10 | 2751 | 19 |
| 11 | 3062 | 19 |
| 12 | 3879 | 19 |
| 13 | 4173 | 19 |
| 14 | 4215 | 19 |
| 15 | 4217 | 19 |
| 16 | 4219 | 19 |
| 17 | 4229 | 19 |
| 18 | 4229 | 19 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.1b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 55 to 39 computations (29.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| ✓ | 3.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 470× | fma-def_binary64 |
| 286× | fma-neg_binary64 |
| 267× | log-div_binary64 |
| 174× | expm1-udef_binary64 |
| 174× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 195 | 29 |
| 2 | 3222 | 29 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(/.f64 (+.f64 x 1) (-.f64 x 1)) |
| Outputs |
|---|
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(+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -1) (/.f64 1 (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) |
| 1× | egg-herbie |
| 699× | times-frac_binary64 |
| 292× | fma-neg_binary64 |
| 252× | fma-def_binary64 |
| 242× | associate-*l*_binary64 |
| 200× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 337 |
| 1 | 169 | 307 |
| 2 | 517 | 299 |
| 3 | 1590 | 297 |
| 4 | 4438 | 297 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 3 x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 3 x)) |
(fma.f64 3 x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 x x))) |
(+.f64 1 (*.f64 x (+.f64 3 x))) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))) |
(fma.f64 x x (fma.f64 3 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 x))) |
(+.f64 -1 (neg.f64 (*.f64 x 2))) |
(+.f64 -1 (*.f64 x -2)) |
(fma.f64 x -2 -1) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))) |
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (*.f64 x x) x)))) |
(-.f64 -1 (*.f64 2 (fma.f64 x x x))) |
(fma.f64 -2 (fma.f64 x x x) -1) |
(fma.f64 (fma.f64 x x x) -2 -1) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(+.f64 -1 (neg.f64 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))) |
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))) |
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)))) |
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (/.f64 2 x)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (/.f64 2 x)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 199 | 4 | 203 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 200 | 4 | 204 |
| Status | Error | Program |
|---|---|---|
| 29.6b | (fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) | |
| ▶ | 29.1b | (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) |
| 30.3b | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) | |
| 32.4b | (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
Compiled 5368 to 3973 computations (26% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) |
| ✓ | 0.0b | (pow.f64 (/.f64 x (+.f64 x 1)) 3) |
| ✓ | 0.0b | (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3) |
| ✓ | 3.0b | (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) |
| 1.0ms | x | @ | inf | (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) |
| 1.0ms | x | @ | 0 | (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) |
| 1.0ms | x | @ | -inf | (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) |
| 1× | batch-egg-rewrite |
| 249× | add-sqr-sqrt_binary64 |
| 245× | pow1_binary64 |
| 242× | *-un-lft-identity_binary64 |
| 235× | add-cbrt-cube_binary64 |
| 235× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 123 |
| 1 | 505 | 121 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) |
(pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3) |
(pow.f64 (/.f64 x (+.f64 x 1)) 3) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3))) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3/2) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3/2)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3/2) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 -1 x -1) 3) (pow.f64 (+.f64 x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3/2) (pow.f64 (/.f64 x (+.f64 x 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (/.f64 1 (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (fma.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (-.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))))))) |
| 1× | egg-herbie |
| 544× | fma-neg_binary64 |
| 430× | cancel-sign-sub-inv_binary64 |
| 405× | fma-def_binary64 |
| 223× | sub-neg_binary64 |
| 159× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 702 |
| 1 | 299 | 655 |
| 2 | 923 | 641 |
| 3 | 2993 | 641 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 6 x)) |
(+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (*.f64 6 x))) |
(+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (+.f64 (*.f64 6 x) (*.f64 39 (pow.f64 x 3))))) |
(/.f64 -9 x) |
(neg.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 12 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 51 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -9 x) |
(neg.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 12 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 51 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 6 x)) |
(+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (*.f64 6 x))) |
(+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (+.f64 (*.f64 6 x) (*.f64 38 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 6 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 18 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 38 (/.f64 1 (pow.f64 x 3))) (*.f64 18 (/.f64 1 (pow.f64 x 2))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 6 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 18 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 38 (/.f64 1 (pow.f64 x 3))) (*.f64 18 (/.f64 1 (pow.f64 x 2))))))) |
(pow.f64 x 3) |
(-.f64 (pow.f64 x 3) (*.f64 3 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 6 (pow.f64 x 5)) (pow.f64 x 3)) (*.f64 3 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 6 (pow.f64 x 5)) (pow.f64 x 3)) (+.f64 (*.f64 3 (pow.f64 x 4)) (*.f64 10 (pow.f64 x 6)))) |
1 |
(-.f64 1 (*.f64 3 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 10 (/.f64 1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (*.f64 3 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 10 (/.f64 1 (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 3 x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 6 x)) |
(fma.f64 6 x 1) |
(+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (*.f64 6 x))) |
(+.f64 1 (fma.f64 18 (*.f64 x x) (*.f64 6 x))) |
(+.f64 1 (fma.f64 6 x (*.f64 x (*.f64 x 18)))) |
(fma.f64 6 x (fma.f64 x (*.f64 x 18) 1)) |
(+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (+.f64 (*.f64 6 x) (*.f64 39 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 18 (*.f64 x x) (fma.f64 6 x (*.f64 39 (pow.f64 x 3))))) |
(+.f64 (*.f64 x (+.f64 6 (*.f64 x 18))) (fma.f64 39 (pow.f64 x 3) 1)) |
(/.f64 -9 x) |
(neg.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 12 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 9 x) (/.f64 12 (*.f64 x x)))) |
(-.f64 (/.f64 -9 x) (/.f64 12 (*.f64 x x))) |
(+.f64 (/.f64 -9 x) (/.f64 -12 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 9 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 48 (pow.f64 x 3))))) |
(-.f64 (/.f64 -9 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 48 (pow.f64 x 3)))) |
(+.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 -9 x) (/.f64 -48 (pow.f64 x 3)))) |
(+.f64 (/.f64 -9 x) (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -48 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 51 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 9 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 48 (pow.f64 x 3)))) (/.f64 51 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -9 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 48 (pow.f64 x 3)))) (/.f64 -51 (pow.f64 x 4))) |
(+.f64 (/.f64 -9 x) (-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -48 (pow.f64 x 3))) (/.f64 51 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 -9 x) (/.f64 -48 (pow.f64 x 3))) (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 -51 (pow.f64 x 4)))) |
(/.f64 -9 x) |
(neg.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 12 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 9 x) (/.f64 12 (*.f64 x x)))) |
(-.f64 (/.f64 -9 x) (/.f64 12 (*.f64 x x))) |
(+.f64 (/.f64 -9 x) (/.f64 -12 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 9 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 48 (pow.f64 x 3))))) |
(-.f64 (/.f64 -9 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 48 (pow.f64 x 3)))) |
(+.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 -9 x) (/.f64 -48 (pow.f64 x 3)))) |
(+.f64 (/.f64 -9 x) (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -48 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 51 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 9 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 48 (pow.f64 x 3)))) (/.f64 51 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -9 x) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 48 (pow.f64 x 3)))) (/.f64 -51 (pow.f64 x 4))) |
(+.f64 (/.f64 -9 x) (-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -48 (pow.f64 x 3))) (/.f64 51 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 -9 x) (/.f64 -48 (pow.f64 x 3))) (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 -51 (pow.f64 x 4)))) |
1 |
(+.f64 1 (*.f64 6 x)) |
(fma.f64 6 x 1) |
(+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (*.f64 6 x))) |
(+.f64 1 (fma.f64 18 (*.f64 x x) (*.f64 6 x))) |
(+.f64 1 (fma.f64 6 x (*.f64 x (*.f64 x 18)))) |
(fma.f64 6 x (fma.f64 x (*.f64 x 18) 1)) |
(+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (+.f64 (*.f64 6 x) (*.f64 38 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 18 (*.f64 x x) (fma.f64 6 x (*.f64 (pow.f64 x 3) 38)))) |
(+.f64 1 (fma.f64 6 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x 38) 18)))) |
(+.f64 1 (fma.f64 (pow.f64 x 3) 38 (*.f64 x (+.f64 6 (*.f64 x 18))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 6 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 6 x))) |
(+.f64 -1 (/.f64 -6 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 18 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 6 x)) (/.f64 18 (*.f64 x x)))) |
(-.f64 (+.f64 -1 (/.f64 -6 x)) (/.f64 18 (*.f64 x x))) |
(+.f64 (/.f64 -6 x) (-.f64 (/.f64 -18 (*.f64 x x)) 1)) |
(+.f64 -1 (-.f64 (/.f64 (/.f64 -18 x) x) (/.f64 6 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 38 (/.f64 1 (pow.f64 x 3))) (*.f64 18 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 6 x)) (+.f64 (/.f64 18 (*.f64 x x)) (/.f64 38 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 6 x) (+.f64 (/.f64 18 (*.f64 x x)) (/.f64 38 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -6 x) (-.f64 (/.f64 -18 (*.f64 x x)) 1)) (/.f64 38 (pow.f64 x 3))) |
(+.f64 (-.f64 -1 (/.f64 38 (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 -18 x) x) (/.f64 6 x))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 6 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 6 x))) |
(+.f64 -1 (/.f64 -6 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 18 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 6 x)) (/.f64 18 (*.f64 x x)))) |
(-.f64 (+.f64 -1 (/.f64 -6 x)) (/.f64 18 (*.f64 x x))) |
(+.f64 (/.f64 -6 x) (-.f64 (/.f64 -18 (*.f64 x x)) 1)) |
(+.f64 -1 (-.f64 (/.f64 (/.f64 -18 x) x) (/.f64 6 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 38 (/.f64 1 (pow.f64 x 3))) (*.f64 18 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 6 x)) (+.f64 (/.f64 18 (*.f64 x x)) (/.f64 38 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 6 x) (+.f64 (/.f64 18 (*.f64 x x)) (/.f64 38 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -6 x) (-.f64 (/.f64 -18 (*.f64 x x)) 1)) (/.f64 38 (pow.f64 x 3))) |
(+.f64 (-.f64 -1 (/.f64 38 (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 -18 x) x) (/.f64 6 x))) |
(pow.f64 x 3) |
(-.f64 (pow.f64 x 3) (*.f64 3 (pow.f64 x 4))) |
(+.f64 (pow.f64 x 3) (*.f64 -3 (pow.f64 x 4))) |
(fma.f64 (pow.f64 x 4) -3 (pow.f64 x 3)) |
(-.f64 (+.f64 (*.f64 6 (pow.f64 x 5)) (pow.f64 x 3)) (*.f64 3 (pow.f64 x 4))) |
(+.f64 (fma.f64 6 (pow.f64 x 5) (pow.f64 x 3)) (*.f64 -3 (pow.f64 x 4))) |
(+.f64 (fma.f64 6 (pow.f64 x 5) (pow.f64 x 3)) (*.f64 (pow.f64 x 4) -3)) |
(fma.f64 (pow.f64 x 4) -3 (fma.f64 6 (pow.f64 x 5) (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 6 (pow.f64 x 5)) (pow.f64 x 3)) (+.f64 (*.f64 3 (pow.f64 x 4)) (*.f64 10 (pow.f64 x 6)))) |
(-.f64 (fma.f64 6 (pow.f64 x 5) (pow.f64 x 3)) (fma.f64 3 (pow.f64 x 4) (*.f64 10 (pow.f64 x 6)))) |
(+.f64 (fma.f64 (pow.f64 x 4) -3 (fma.f64 6 (pow.f64 x 5) (pow.f64 x 3))) (*.f64 (pow.f64 x 6) -10)) |
1 |
(-.f64 1 (*.f64 3 (/.f64 1 x))) |
(-.f64 1 (/.f64 3 x)) |
(+.f64 1 (/.f64 -3 x)) |
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 6 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -3 x))) |
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 10 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 10 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 10 (pow.f64 x 3))))) |
1 |
(-.f64 1 (*.f64 3 (/.f64 1 x))) |
(-.f64 1 (/.f64 3 x)) |
(+.f64 1 (/.f64 -3 x)) |
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 6 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -3 x))) |
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 10 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 10 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 10 (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 3 x)) |
(+.f64 1 (*.f64 x 3)) |
(fma.f64 x 3 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 x 3))) |
(+.f64 1 (*.f64 x (+.f64 x 3))) |
(fma.f64 x (+.f64 x 3) 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 (+.f64 x (pow.f64 x 3)))) |
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))) |
(fma.f64 x (+.f64 x 3) (fma.f64 3 (pow.f64 x 3) 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 0 | 120 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 120 | 4 | 124 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.6b | (fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
| ✓ | 29.1b | (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) |
| 30.3b | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) | |
| 32.4b | (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
Compiled 6991 to 5370 computations (23.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 x -1)) |
| ✓ | 29.6b | (fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 x -1)) |
| 0.0ms | x | @ | inf | (fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | 0 | (fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 463× | prod-diff_binary64 |
| 194× | fma-def_binary64 |
| 164× | expm1-udef_binary64 |
| 164× | log1p-udef_binary64 |
| 154× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 220 | 26 |
| 2 | 2996 | 26 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
(/.f64 1 (+.f64 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 (+.f64 x 1) (+.f64 x -1)) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (neg.f64 (pow.f64 (+.f64 x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))))))) |
| 1× | egg-herbie |
| 599× | fma-def_binary64 |
| 531× | times-frac_binary64 |
| 328× | sub-neg_binary64 |
| 198× | fma-neg_binary64 |
| 169× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 369 |
| 1 | 134 | 340 |
| 2 | 406 | 336 |
| 3 | 1225 | 333 |
| 4 | 3677 | 333 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 3 x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
-1 |
(neg.f64 (+.f64 1 x)) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x))) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 3 x)) |
(fma.f64 3 x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 x x))) |
(+.f64 1 (*.f64 x (+.f64 3 x))) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))) |
(fma.f64 x x (fma.f64 3 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1)) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 x))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 x))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))) |
-1 |
(neg.f64 (+.f64 1 x)) |
(+.f64 -1 (neg.f64 x)) |
(-.f64 -1 x) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x))) |
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 x x)))) |
(-.f64 -1 (fma.f64 x x x)) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3))))) |
(+.f64 -1 (neg.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (pow.f64 x 3) (fma.f64 x x x))) |
(*.f64 (fma.f64 x x 1) (-.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 92 | 0 | 92 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 92 | 4 | 96 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.6b | (fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
| ✓ | 29.1b | (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) |
| ▶ | 30.3b | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) |
| 32.4b | (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
Compiled 1831 to 1374 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) |
| ✓ | 18.8b | (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) |
| 1.0ms | x | @ | 0 | (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) |
| 1× | batch-egg-rewrite |
| 641× | fma-def_binary64 |
| 397× | fma-neg_binary64 |
| 222× | log1p-udef_binary64 |
| 221× | expm1-udef_binary64 |
| 138× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 273 | 39 |
| 2 | 3856 | 39 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) |
(/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) |
| Outputs |
|---|
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(cbrt.f64 (/.f64 (*.f64 x (-.f64 x 1)) (fma.f64 x x -1)))) (cbrt.f64 (/.f64 (*.f64 x (-.f64 x 1)) (fma.f64 x x -1))) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 x 1)) (fma.f64 x x -1))) (sqrt.f64 (/.f64 (*.f64 x (-.f64 x 1)) (fma.f64 x x -1))) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (*.f64 x (-.f64 x 1)) (cbrt.f64 (fma.f64 x x -1))) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (/.f64 (*.f64 x (-.f64 x 1)) (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (-.f64 x 1))) (fma.f64 x x -1)) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))) 1) (/.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))) (fma.f64 x x -1)) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x 1))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x 1))) 2) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (*.f64 x (-.f64 x 1))) (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))) (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 (+.f64 x 1) 2))) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 (+.f64 x 1) 2))) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 (+.f64 x 1) 2))) (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 (+.f64 x 1) 2))) (fma.f64 x x -1)))))))) |
| 1× | egg-herbie |
| 531× | times-frac_binary64 |
| 412× | cancel-sign-sub-inv_binary64 |
| 373× | fma-def_binary64 |
| 274× | associate-/l/_binary64 |
| 203× | sub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 282 |
| 1 | 100 | 245 |
| 2 | 288 | 223 |
| 3 | 844 | 223 |
| 4 | 2512 | 220 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(*.f64 -3 x) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(*.f64 -3 x) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
1 |
(+.f64 1 (*.f64 3 x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
-1 |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(+.f64 -1 (neg.f64 (*.f64 3 x))) |
(-.f64 -1 (*.f64 3 x)) |
(fma.f64 x -3 -1) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(+.f64 -1 (neg.f64 (*.f64 3 x))) |
(-.f64 -1 (*.f64 3 x)) |
(fma.f64 x -3 -1) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(+.f64 -1 (neg.f64 (*.f64 3 x))) |
(-.f64 -1 (*.f64 3 x)) |
(fma.f64 x -3 -1) |
(*.f64 -3 x) |
(*.f64 x -3) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(+.f64 -1 (neg.f64 (*.f64 3 x))) |
(-.f64 -1 (*.f64 3 x)) |
(fma.f64 x -3 -1) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(+.f64 -1 (neg.f64 (*.f64 3 x))) |
(-.f64 -1 (*.f64 3 x)) |
(fma.f64 x -3 -1) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(+.f64 -1 (neg.f64 (*.f64 3 x))) |
(-.f64 -1 (*.f64 3 x)) |
(fma.f64 x -3 -1) |
(*.f64 -3 x) |
(*.f64 x -3) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(+.f64 -1 (neg.f64 (*.f64 3 x))) |
(-.f64 -1 (*.f64 3 x)) |
(fma.f64 x -3 -1) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(+.f64 -1 (neg.f64 (*.f64 3 x))) |
(-.f64 -1 (*.f64 3 x)) |
(fma.f64 x -3 -1) |
(neg.f64 (+.f64 1 (*.f64 3 x))) |
(+.f64 -1 (neg.f64 (*.f64 3 x))) |
(-.f64 -1 (*.f64 3 x)) |
(fma.f64 x -3 -1) |
1 |
(+.f64 1 (*.f64 3 x)) |
(fma.f64 3 x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 x)) |
(+.f64 1 (*.f64 x (+.f64 x 3))) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 (+.f64 x (pow.f64 x 3)))) |
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 x (+.f64 x (*.f64 3 (fma.f64 x x 1))) 1) |
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 -3 x) (+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 -3 x) (+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 0 | 182 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 182 | 4 | 186 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.6b | (fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
| ✓ | 29.1b | (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (*.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) |
| ✓ | 30.3b | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) |
| 32.4b | (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
Compiled 4773 to 3255 computations (31.8% saved)
Total 0.0b remaining (49.7%)
Threshold costs 0.0b (49.7%)
Compiled 1403 to 1022 computations (27.2% saved)
| 2× | binary-search |
2 calls:
| 22.0ms | x |
| 17.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
12000.0 | ∈ [ | 49.862182471869524 | , | 53979739.08082119 | ] | |
-380000.0 | ∈ [ | -6.379170770497897e+25 | , | -0.09472599354384327 | ] | |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 34× | distribute-rgt-neg-in_binary64 |
| 32× | cancel-sign-sub-inv_binary64 |
| 25× | distribute-lft-neg-in_binary64 |
| 19× | +-commutative_binary64 |
| 19× | neg-sub0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 128 |
| 1 | 66 | 126 |
| 2 | 108 | 126 |
| 3 | 160 | 126 |
| 4 | 208 | 126 |
| 5 | 244 | 126 |
| 6 | 272 | 126 |
| 7 | 277 | 126 |
| 8 | 282 | 126 |
| 9 | 291 | 126 |
| 10 | 295 | 126 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -380000) (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (if (<=.f64 x 12000) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x 1)) 3) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (neg.f64 (pow.f64 (+.f64 x 1) 2))) (*.f64 (*.f64 x (-.f64 x 1)) (neg.f64 (pow.f64 (+.f64 x 1) 2)))))) (fma.f64 x x -1)) (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))))) |
| Outputs |
|---|
(if (<=.f64 x -380000) (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (if (<=.f64 x 12000) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x 1)) 3) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (neg.f64 (pow.f64 (+.f64 x 1) 2))) (*.f64 (*.f64 x (-.f64 x 1)) (neg.f64 (pow.f64 (+.f64 x 1) 2)))))) (fma.f64 x x -1)) (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))))) |
(if (<=.f64 x -380000) (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (if (<=.f64 x 12000) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (*.f64 x (+.f64 x -1)) (neg.f64 (pow.f64 (+.f64 x 1) 2)))))) (fma.f64 x x -1)) (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))))) |
(if (<=.f64 x -380000) (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (if (<=.f64 x 12000) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (*.f64 x (+.f64 x -1)) (pow.f64 (+.f64 x 1) 2))))) (fma.f64 x x -1)) (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))))) |
(if (<=.f64 x -380000) (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (if (<=.f64 x 12000) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (*.f64 x (+.f64 x -1)) (pow.f64 (+.f64 x 1) 2))))) (fma.f64 x x -1)) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))) |
| 1× | fuel |
Compiled 281 to 209 computations (25.6% saved)
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