Time bar (total: 7.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 476.0ms | 2046× | body | 1024 | valid |
| 465.0ms | 4968× | body | 256 | valid |
| 175.0ms | 1014× | body | 512 | valid |
| 70.0ms | 228× | body | 2048 | valid |
| 2× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 16 | 11 |
| 3 | 23 | 11 |
| 4 | 32 | 11 |
| 5 | 49 | 11 |
| 6 | 86 | 11 |
| 7 | 122 | 11 |
| 8 | 168 | 11 |
| 9 | 204 | 11 |
| 10 | 230 | 11 |
| 11 | 232 | 11 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 16 | 11 |
| 3 | 23 | 11 |
| 4 | 32 | 11 |
| 5 | 49 | 11 |
| 6 | 86 | 11 |
| 7 | 122 | 11 |
| 8 | 168 | 11 |
| 9 | 204 | 11 |
| 10 | 230 | 11 |
| 11 | 232 | 11 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 8 to 6 computations (25% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 8 to 6 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (cbrt.f64 (+.f64 x 1)) |
| ✓ | 0.6b | (cbrt.f64 x) |
| ✓ | 3.5b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 1.0ms | x | @ | -inf | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 1.0ms | x | @ | 0 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 0.0ms | x | @ | -inf | (cbrt.f64 x) |
| 0.0ms | x | @ | inf | (cbrt.f64 x) |
| 1× | batch-egg-rewrite |
| 781× | pow1_binary64 |
| 731× | log1p-expm1-u_binary64 |
| 731× | expm1-log1p-u_binary64 |
| 730× | add-log-exp_binary64 |
| 712× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 149 | 20 |
| 2 | 1996 | 20 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(cbrt.f64 x) |
(cbrt.f64 (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 640× | distribute-rgt-in_binary64 |
| 584× | distribute-lft-in_binary64 |
| 536× | unswap-sqr_binary64 |
| 492× | associate-*l*_binary64 |
| 432× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 52 |
| 1 | 47 | 46 |
| 2 | 107 | 44 |
| 3 | 275 | 38 |
| 4 | 709 | 37 |
| 5 | 2312 | 37 |
| 6 | 3934 | 37 |
| 7 | 4172 | 37 |
| 8 | 4471 | 37 |
| 9 | 5010 | 37 |
| 10 | 6007 | 37 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
0 |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
0 |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) |
(fma.f64 1/3 x (fma.f64 x (*.f64 x -1/9) 1)) |
(fma.f64 x (fma.f64 x -1/9 1/3) 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) (*.f64 5/81 (pow.f64 x 3))) |
(fma.f64 x (*.f64 x -1/9) (fma.f64 1/3 x (fma.f64 5/81 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 5/81 (pow.f64 x 3) 1)) |
(fma.f64 x (+.f64 1/3 (*.f64 x (fma.f64 x 5/81 -1/9))) 1) |
Compiled 1035 to 690 computations (33.3% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 25 | 81 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 56 | 26 | 82 |
| Status | Error | Program |
|---|---|---|
| 32.1b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) | |
| ▶ | 29.3b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| 30.9b | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) | |
| 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) | |
| ▶ | 31.2b | (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| 30.5b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) | |
| 30.3b | (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) | |
| 30.5b | (-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) | |
| ▶ | 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| ▶ | 30.3b | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
| 61.7b | 0 | |
| 31.9b | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) | |
| 30.5b | (-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))) | |
| 46.4b | (-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) | |
| 30.4b | (+.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x))) | |
| ▶ | 30.6b | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
| 31.8b | (-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) | |
| 32.1b | (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) | |
| 30.7b | (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x))) | |
| 46.3b | (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) | |
| 30.6b | (-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))) | |
| 30.3b | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) | |
| 33.0b | 1 | |
| 31.8b | (-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) | |
| ✓ | 30.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 30.3b | (/.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) |
Compiled 678 to 508 computations (25.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) |
| ✓ | 0.3b | (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 2.4b | (-.f64 (+.f64 x 1) x) |
Compiled 81 to 52 computations (35.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
| 1.0ms | x | @ | inf | (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
| 1.0ms | x | @ | 0 | (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) |
| 1× | batch-egg-rewrite |
| 597× | fma-def_binary64 |
| 502× | log-prod_binary64 |
| 420× | pow-prod-down_binary64 |
| 321× | fma-neg_binary64 |
| 286× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 247 | 32 |
| 2 | 3397 | 31 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x 1) x) |
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (sqrt.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (+.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 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3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4) (*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))) (fma.f64 (neg.f64 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| 1× | egg-herbie |
| 660× | distribute-rgt-in_binary64 |
| 606× | distribute-lft-in_binary64 |
| 536× | unswap-sqr_binary64 |
| 499× | associate-*l*_binary64 |
| 446× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 50 | 49 |
| 2 | 108 | 49 |
| 3 | 299 | 43 |
| 4 | 760 | 40 |
| 5 | 2344 | 40 |
| 6 | 3981 | 40 |
| 7 | 4209 | 40 |
| 8 | 4508 | 40 |
| 9 | 5047 | 40 |
| 10 | 6044 | 40 |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(+.f64 (*.f64 2/3 x) 1) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3))))) |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(+.f64 (*.f64 2/3 x) 1) |
(fma.f64 2/3 x 1) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1)) |
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) 1)) |
(fma.f64 x (fma.f64 x -1/9 2/3) 1) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3))))) |
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 4/81 (pow.f64 x 3)))) |
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 3) 1))) |
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) (fma.f64 4/81 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x -1/9 2/3) (fma.f64 4/81 (pow.f64 x 3) 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 4/81 -1/9) 2/3) 1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (cbrt.f64 (+.f64 x 1)) | |
| ✓ | 2.4b | (pow.f64 x 1/3) |
| ✓ | 14.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
Compiled 22 to 16 computations (27.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 1.0ms | x | @ | inf | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 0.0ms | x | @ | 0 | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 0.0ms | x | @ | inf | (pow.f64 x 1/3) |
| 0.0ms | x | @ | 0 | (pow.f64 x 1/3) |
| 1× | batch-egg-rewrite |
| 864× | pow1_binary64 |
| 813× | add-log-exp_binary64 |
| 813× | log1p-expm1-u_binary64 |
| 813× | expm1-log1p-u_binary64 |
| 794× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 179 | 14 |
| 2 | 2246 | 14 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(pow.f64 x 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x))))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 10 | 8 |
| 2 | 12 | 8 |
| 1× | saturated |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
0 |
0 |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
0 |
0 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (cbrt.f64 (+.f64 x 1)) | |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 2.9b | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
| 3.5b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 36 to 23 computations (36.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
| 0.0ms | x | @ | -inf | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
| 0.0ms | x | @ | 0 | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
| 1× | batch-egg-rewrite |
| 856× | pow1_binary64 |
| 799× | log1p-expm1-u_binary64 |
| 799× | expm1-log1p-u_binary64 |
| 798× | add-log-exp_binary64 |
| 778× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 173 | 11 |
| 2 | 2195 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 x (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 10 | 7 |
| 2 | 12 | 7 |
| 1× | saturated |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
0 |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
0 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (cbrt.f64 (cbrt.f64 (+.f64 x 1))) |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 21.9b | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
Compiled 35 to 26 computations (25.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
| 6.0ms | x | @ | -inf | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) |
| 2.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) |
| 1.0ms | x | @ | inf | (cbrt.f64 (cbrt.f64 (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 933× | pow1_binary64 |
| 876× | add-log-exp_binary64 |
| 876× | log1p-expm1-u_binary64 |
| 876× | expm1-log1p-u_binary64 |
| 95× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 216 | 25 |
| 2 | 2471 | 25 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) |
(cbrt.f64 (cbrt.f64 (+.f64 x 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 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#<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) 3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))))) |
| 1× | egg-herbie |
| 756× | associate-+l+_binary64 |
| 509× | associate-*l*_binary64 |
| 500× | associate-*r*_binary64 |
| 487× | fma-neg_binary64 |
| 326× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 1407 |
| 1 | 510 | 1226 |
| 2 | 1791 | 1132 |
| 3 | 6468 | 932 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(pow.f64 x 1/3) |
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9))))))))) |
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9) (+.f64 (*.f64 -8/729 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 136/2187 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9))))) (+.f64 (*.f64 -8/729 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))) (*.f64 68/2187 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)))))))))))) |
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (+.f64 (*.f64 2/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (+.f64 (*.f64 2/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/9 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 8/729 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 8/729 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -136/2187 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))) (*.f64 -68/2187 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))))) (pow.f64 x 3)))))))) |
1 |
(+.f64 1 (*.f64 1/9 x)) |
(+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x))) |
(+.f64 (*.f64 68/2187 (pow.f64 x 3)) (+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x)))) |
(pow.f64 x 1/9) |
(+.f64 (pow.f64 x 1/9) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))) |
(+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)) (*.f64 -4/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)))) |
(+.f64 (*.f64 68/2187 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9)) (+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)) (*.f64 -4/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))) |
(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 68/2187 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) |
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) |
(pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) |
(pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) (*.f64 5/81 (pow.f64 x 3))) |
(+.f64 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)) (fma.f64 -1/9 (*.f64 x x) 1)) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) |
(+.f64 (cbrt.f64 x) (fma.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 1/9 (cbrt.f64 (/.f64 1 (*.f64 x x)))))) |
(+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1/3)) |
(+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9))))))))) |
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(+.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) -7/81) (*.f64 x x)) (+.f64 (-.f64 (-.f64 (*.f64 2/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) (*.f64 x x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) (/.f64 x -1/3))) (/.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) -7/81) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) 8/729 (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) -68/2187 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) -112/2187)))) (pow.f64 x 3))) (fma.f64 -4/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) (*.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3)))) |
(+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) (/.f64 -7/81 (*.f64 x x))) (-.f64 (+.f64 (fma.f64 2/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) (*.f64 x x)) (/.f64 (*.f64 1/3 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3)) x)) (fma.f64 -4/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) (*.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3))) (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) 7/729) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) 8/729 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) -20/243))) (pow.f64 x 3)))) |
(+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) (/.f64 -7/81 (*.f64 x x))) (-.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) (/.f64 2/81 (*.f64 x x)) (/.f64 (*.f64 1/3 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3)) x)) (fma.f64 -4/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) (*.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3))) (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) 7/729) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) 8/729 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) -20/243))) (pow.f64 x 3)))) |
1 |
(+.f64 1 (*.f64 1/9 x)) |
(+.f64 1 (*.f64 x 1/9)) |
(fma.f64 x 1/9 1) |
(+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x))) |
(fma.f64 -4/81 (*.f64 x x) (+.f64 1 (*.f64 x 1/9))) |
(fma.f64 (*.f64 x x) -4/81 (fma.f64 x 1/9 1)) |
(+.f64 (*.f64 68/2187 (pow.f64 x 3)) (+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x)))) |
(fma.f64 68/2187 (pow.f64 x 3) (fma.f64 -4/81 (*.f64 x x) (+.f64 1 (*.f64 x 1/9)))) |
(fma.f64 (pow.f64 x 3) 68/2187 (fma.f64 (*.f64 x x) -4/81 (fma.f64 x 1/9 1))) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(+.f64 (pow.f64 x 1/9) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))) |
(+.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)))) |
(fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) |
(+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)) (*.f64 -4/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)))) |
(+.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))))) |
(fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))))) |
(+.f64 (*.f64 68/2187 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9)) (+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)) (*.f64 -4/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))) |
(fma.f64 68/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (+.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)))))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) 68/2187 (fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)))))) |
(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(pow.f64 (exp.f64 1/9) (log.f64 x)) |
(+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) x) (pow.f64 (exp.f64 1/9) (log.f64 x))) |
(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(+.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 1/9 (/.f64 -4/81 x)))) |
(+.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) x) (+.f64 1/9 (/.f64 -4/81 x)))) |
(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 68/2187 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) |
(fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) |
(fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(+.f64 (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 1/9 (/.f64 -4/81 x)))) |
(+.f64 (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (log.f64 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) x) (+.f64 1/9 (/.f64 -4/81 x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (cbrt.f64 x) | |
| ✓ | 12.7b | (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| ✓ | 14.7b | (cbrt.f64 (fma.f64 x x (-.f64 1 x))) |
| ✓ | 20.5b | (cbrt.f64 (+.f64 1 (pow.f64 x 3))) |
Compiled 67 to 45 computations (32.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (cbrt.f64 (+.f64 1 (pow.f64 x 3))) |
| 1.0ms | x | @ | inf | (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (+.f64 1 (pow.f64 x 3))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (+.f64 1 (pow.f64 x 3))) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 622× | log-prod_binary64 |
| 528× | fma-def_binary64 |
| 347× | pow2_binary64 |
| 251× | fma-neg_binary64 |
| 237× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 288 | 43 |
| 2 | 3798 | 43 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (+.f64 1 (pow.f64 x 3))) |
(cbrt.f64 (fma.f64 x x (-.f64 1 x))) |
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| Outputs |
|---|
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x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) 2) (cbrt.f64 (*.f64 x x))) (/.f64 1 (+.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x))) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cbrt.f64 x))) 2) (cbrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (cbrt.f64 x))) (sqrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cbrt.f64 x) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (pow.f64 x 3))))) 1) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (pow.f64 x 3))))) 1) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 x 3/2))) 1) (/.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 x 3/2))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 x 3/2))) 1) (/.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 x 3/2))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (pow.f64 x 3))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (pow.f64 x 3))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (/.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 x 3/2))) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (/.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 x 3/2))) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (pow.f64 x 3))))) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (pow.f64 x 3))))) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (-.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (-.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (-.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))))))) |
| 1× | egg-herbie |
| 862× | fma-def_binary64 |
| 739× | unswap-sqr_binary64 |
| 637× | associate-/r*_binary64 |
| 431× | distribute-neg-frac_binary64 |
| 364× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 293 |
| 1 | 201 | 284 |
| 2 | 527 | 279 |
| 3 | 1656 | 270 |
| 4 | 5165 | 266 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 (pow.f64 x 3))) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/9 (pow.f64 x 6)))) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/9 (pow.f64 x 6)) (*.f64 5/81 (pow.f64 x 9))))) |
x |
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) x) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) x) (*.f64 1/9 (/.f64 1 (pow.f64 x 5)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 x 8))) x)) (*.f64 1/9 (/.f64 1 (pow.f64 x 5)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) x)) |
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))) |
(+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 5/81 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 8) (pow.f64 x 8)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -1/3 x)) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 2/9 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 13/81 (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
0 |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 (pow.f64 x 3))) |
(fma.f64 1/3 (pow.f64 x 3) 1) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/9 (pow.f64 x 6)))) |
(+.f64 1 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/9 (pow.f64 x 6)))) |
(+.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (*.f64 -1/9 (pow.f64 x 6))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/9 (pow.f64 x 6) 1)) |
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/9 (pow.f64 x 6)) (*.f64 5/81 (pow.f64 x 9))))) |
(+.f64 1 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/9 (pow.f64 x 6) (*.f64 5/81 (pow.f64 x 9))))) |
(+.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 5/81 (pow.f64 x 9) (*.f64 -1/9 (pow.f64 x 6)))) |
(+.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 -1/9 (pow.f64 x 6) (*.f64 5/81 (pow.f64 x 9)))) |
(fma.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) -1/9 1/3) (fma.f64 5/81 (pow.f64 x 9) 1)) |
(fma.f64 -1/9 (pow.f64 x 6) (fma.f64 5/81 (pow.f64 x 9) (fma.f64 1/3 (pow.f64 x 3) 1))) |
x |
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) x) |
(+.f64 x (/.f64 1/3 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) x) (*.f64 1/9 (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 x (/.f64 1/9 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 x (/.f64 -1/9 (pow.f64 x 5)))) |
(+.f64 x (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/9 (pow.f64 x 5)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 x 8))) x)) (*.f64 1/9 (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 (+.f64 x (/.f64 5/81 (pow.f64 x 8))) (/.f64 1/9 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 5/81 (pow.f64 x 8))) (+.f64 x (/.f64 -1/9 (pow.f64 x 5)))) |
(+.f64 x (+.f64 (/.f64 5/81 (pow.f64 x 8)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/9 (pow.f64 x 5))))) |
(+.f64 x (+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 5/81 (pow.f64 x 8)) (/.f64 -1/9 (pow.f64 x 5))))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) x)) |
(neg.f64 (*.f64 x (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 -1) (neg.f64 x)) |
(*.f64 x (neg.f64 (cbrt.f64 -1))) |
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))) |
(fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))) |
(-.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1))) |
(-.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 x (cbrt.f64 -1))) |
(neg.f64 (fma.f64 x (cbrt.f64 -1) (/.f64 (/.f64 (/.f64 -1/3 x) x) (pow.f64 (cbrt.f64 -1) 2)))) |
(+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))) |
(+.f64 (fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5)))) |
(+.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (*.f64 x (cbrt.f64 -1)))) |
(+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (-.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (*.f64 x (cbrt.f64 -1)))) |
(+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (-.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5))) (*.f64 x (cbrt.f64 -1)))) |
(-.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5))) (fma.f64 x (cbrt.f64 -1) (/.f64 (/.f64 (/.f64 -1/3 x) x) (pow.f64 (cbrt.f64 -1) 2)))) |
(+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 5/81 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 8) (pow.f64 x 8)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (/.f64 5/81 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1) 8)))) (fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))) |
(+.f64 (-.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1))) (+.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (/.f64 5/81 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1) 8))))) |
(+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (-.f64 (/.f64 5/81 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1) 8))) (*.f64 x (cbrt.f64 -1))))) |
(+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (/.f64 (/.f64 5/81 (pow.f64 (cbrt.f64 -1) 8)) (pow.f64 x 8)) (*.f64 x (cbrt.f64 -1))))) |
(-.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (fma.f64 x (cbrt.f64 -1) (/.f64 (/.f64 (/.f64 -1/3 x) x) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -5/81 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1) 2))))) |
1 |
(+.f64 1 (*.f64 -1/3 x)) |
(+.f64 1 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 2/9 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 -1/3 x (*.f64 (*.f64 x x) 2/9))) |
(+.f64 1 (fma.f64 (*.f64 x x) 2/9 (*.f64 x -1/3))) |
(fma.f64 x -1/3 (fma.f64 x (*.f64 x 2/9) 1)) |
(fma.f64 x (fma.f64 x 2/9 -1/3) 1) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 13/81 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 -1/3 x (fma.f64 2/9 (*.f64 x x) (*.f64 (pow.f64 x 3) 13/81)))) |
(+.f64 (fma.f64 x -1/3 1) (fma.f64 (*.f64 x x) 2/9 (*.f64 (pow.f64 x 3) 13/81))) |
(+.f64 1 (fma.f64 (pow.f64 x 3) 13/81 (*.f64 x (+.f64 -1/3 (*.f64 x 2/9))))) |
(fma.f64 x -1/3 (fma.f64 (*.f64 x x) (fma.f64 x 13/81 2/9) 1)) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
0 |
Compiled 19138 to 13067 computations (31.7% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 782 | 21 | 803 |
| Fresh | 15 | 5 | 20 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 799 | 30 | 829 |
| Status | Error | Program |
|---|---|---|
| 31.9b | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) | |
| ▶ | 32.1b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
| 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) | |
| 61.7b | 0 | |
| 30.3b | (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) | |
| 30.5b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) | |
| 46.2b | (-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3)) | |
| 46.3b | (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) | |
| ✓ | 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 33.0b | 1 | |
| ▶ | 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| ✓ | 30.3b | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
| 46.2b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) | |
| ▶ | 30.9b | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
| 30.3b | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) | |
| ▶ | 45.5b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| 31.3b | (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) | |
| 46.2b | (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) | |
| 45.5b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (sqrt.f64 x) (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| ▶ | 60.1b | (-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| ✓ | 30.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 43.8b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2))) | |
| 29.3b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| 46.3b | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) | |
| 29.3b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ✓ | 30.6b | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
| 31.8b | (-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) | |
| 32.1b | (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) | |
| 31.3b | (expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)))) | |
| 60.2b | (-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)) |
Compiled 804 to 614 computations (23.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (cbrt.f64 (+.f64 x 1)) | |
| 0.3b | (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) | |
| 0.3b | (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) | |
| 0.6b | (cbrt.f64 x) |
Compiled 72 to 47 computations (34.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (cbrt.f64 x) | |
| ✓ | 1.2b | (pow.f64 (+.f64 x 1) 1/3) |
| ✓ | 14.3b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
Compiled 22 to 15 computations (31.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
| 0.0ms | x | @ | inf | (pow.f64 (+.f64 x 1) 1/3) |
| 0.0ms | x | @ | 0 | (pow.f64 (+.f64 x 1) 1/3) |
| 1× | batch-egg-rewrite |
| 864× | pow1_binary64 |
| 813× | add-log-exp_binary64 |
| 813× | log1p-expm1-u_binary64 |
| 813× | expm1-log1p-u_binary64 |
| 794× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 179 | 17 |
| 2 | 2243 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
(pow.f64 (+.f64 x 1) 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 640× | distribute-rgt-in_binary64 |
| 584× | distribute-lft-in_binary64 |
| 536× | unswap-sqr_binary64 |
| 492× | associate-*l*_binary64 |
| 432× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 52 |
| 1 | 47 | 46 |
| 2 | 107 | 44 |
| 3 | 275 | 38 |
| 4 | 709 | 37 |
| 5 | 2312 | 37 |
| 6 | 3934 | 37 |
| 7 | 4172 | 37 |
| 8 | 4471 | 37 |
| 9 | 5010 | 37 |
| 10 | 6007 | 37 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
0 |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
0 |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) |
(fma.f64 1/3 x (fma.f64 x (*.f64 x -1/9) 1)) |
(fma.f64 x (fma.f64 x -1/9 1/3) 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) (*.f64 5/81 (pow.f64 x 3))) |
(fma.f64 x (*.f64 x -1/9) (fma.f64 1/3 x (fma.f64 5/81 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 5/81 (pow.f64 x 3) 1)) |
(fma.f64 x (+.f64 1/3 (*.f64 x (fma.f64 x 5/81 -1/9))) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 12.7b | (-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| 14.7b | (cbrt.f64 (fma.f64 x x (-.f64 1 x))) |
Compiled 42 to 23 computations (45.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
| 0.0ms | x | @ | inf | (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 897× | prod-diff_binary64 |
| 453× | log-prod_binary64 |
| 322× | fma-def_binary64 |
| 314× | pow-prod-down_binary64 |
| 252× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 194 | 31 |
| 2 | 2684 | 31 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
| Outputs |
|---|
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(cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (cbrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1/6) (/.f64 x (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1/6) (/.f64 x (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (-.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (-.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (-.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (pow.f64 x 1/6)) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)) (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) x) -2)) (cbrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (sqrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) -2) (/.f64 x (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (cbrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1/6) (/.f64 x (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (-.f64 (fma.f64 x x 1) x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))))) |
| 1× | egg-herbie |
| 908× | fma-def_binary64 |
| 803× | unswap-sqr_binary64 |
| 509× | distribute-lft-out_binary64 |
| 493× | *-commutative_binary64 |
| 486× | sqr-pow_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 47 |
| 1 | 49 | 47 |
| 2 | 121 | 47 |
| 3 | 390 | 41 |
| 4 | 1226 | 38 |
| 5 | 3068 | 38 |
| 6 | 5058 | 38 |
| 7 | 5201 | 38 |
| 8 | 5431 | 38 |
| 9 | 5684 | 38 |
| 10 | 6078 | 38 |
| 11 | 6610 | 38 |
| 12 | 7124 | 38 |
| 13 | 7678 | 38 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
(+.f64 (*.f64 1/3 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -22/81 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) x))) |
| Outputs |
|---|
x |
x |
(+.f64 (*.f64 1/3 (pow.f64 x 2)) x) |
(fma.f64 1/3 (*.f64 x x) x) |
(*.f64 x (fma.f64 x 1/3 1)) |
(fma.f64 x (*.f64 x 1/3) x) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) x)) |
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 1/3 (*.f64 x x) x)) |
(fma.f64 x (*.f64 x 1/3) (fma.f64 -1/9 (pow.f64 x 3) x)) |
(fma.f64 (*.f64 x x) (fma.f64 x -1/9 1/3) x) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -22/81 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) x))) |
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -22/81 (pow.f64 x 4) (fma.f64 1/3 (*.f64 x x) x))) |
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/3) (fma.f64 -22/81 (pow.f64 x 4) x))) |
(fma.f64 x (*.f64 x (fma.f64 x -1/9 1/3)) (fma.f64 -22/81 (pow.f64 x 4) x)) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -22/81 -1/9) 1/3)) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 14.7b | (cbrt.f64 (fma.f64 x x -1)) |
| ✓ | 16.8b | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
Compiled 44 to 28 computations (36.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
| 3.0ms | x | @ | -inf | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
| 1.0ms | x | @ | inf | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (fma.f64 x x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) |
| 1× | batch-egg-rewrite |
| 859× | prod-diff_binary64 |
| 503× | log-prod_binary64 |
| 307× | fma-def_binary64 |
| 271× | pow2_binary64 |
| 220× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 216 | 24 |
| 2 | 2993 | 24 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 x x -1)) |
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (fma.f64 x x -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (/.f64 1 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/6) (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (/.f64 1 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) (/.f64 1 (neg.f64 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1) (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) 2)) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) 2)) (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 x -1) 1/6)) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (+.f64 x -1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (+.f64 x -1) 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (+.f64 x -1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 675× | associate-/l*_binary64 |
| 574× | unswap-sqr_binary64 |
| 469× | associate-*l*_binary64 |
| 414× | associate-*r*_binary64 |
| 406× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 160 |
| 1 | 100 | 152 |
| 2 | 259 | 146 |
| 3 | 898 | 140 |
| 4 | 5154 | 140 |
| 5 | 6808 | 140 |
| 6 | 7807 | 140 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
0 |
(cbrt.f64 -1) |
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))) |
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))) |
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
0 |
(cbrt.f64 -1) |
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))) |
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)) |
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1)) |
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))) |
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))) |
(+.f64 (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))) |
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 x 4) (cbrt.f64 -1))) |
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))) |
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))) |
(+.f64 (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1))) |
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1)))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 5/81 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6) (fma.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 x 4) (cbrt.f64 -1)))) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 (*.f64 x x) -1/9 (fma.f64 1/3 x 1)) |
(fma.f64 1/3 x (fma.f64 (*.f64 x x) -1/9 1)) |
(fma.f64 x (fma.f64 x -1/9 1/3) 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)))) |
(+.f64 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)) (fma.f64 (*.f64 x x) -1/9 1)) |
(fma.f64 x (*.f64 x -1/9) (fma.f64 1/3 x (fma.f64 5/81 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 5/81 (pow.f64 x 3) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) | |
| 0.6b | (cbrt.f64 x) | |
| 2.4b | (-.f64 (+.f64 x 1) x) | |
| 2.4b | (pow.f64 x 1/3) |
Compiled 88 to 61 computations (30.7% saved)
Compiled 20096 to 13143 computations (34.6% saved)
55 alts after pruning (47 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 840 | 38 | 878 |
| Fresh | 12 | 9 | 21 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 8 | 8 |
| Total | 853 | 55 | 908 |
| Status | Error | Program |
|---|---|---|
| 60.1b | (fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x))) | |
| ▶ | 14.8b | (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| ▶ | 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) |
| 30.9b | (fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x))) | |
| 31.9b | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) | |
| ✓ | 32.1b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
| 58.7b | (sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2)) | |
| 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) | |
| 18.5b | (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 2.0b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ▶ | 30.5b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
| 60.2b | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x)) | |
| 32.9b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ✓ | 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 46.3b | (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) | |
| 0.7b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3))) | |
| 14.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| ✓ | 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| 62.2b | (-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3)) | |
| ✓ | 30.3b | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
| 14.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| 30.0b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2))) | |
| 33.0b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ▶ | 46.2b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| ✓ | 30.9b | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
| 60.1b | (-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x)) | |
| 14.8b | (/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 46.3b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2)) | |
| 61.7b | 0 | |
| 30.3b | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) | |
| 46.2b | (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) | |
| 33.0b | 1 | |
| 18.3b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))))) | |
| 18.1b | (/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 30.3b | (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) | |
| ▶ | 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| 32.0b | (/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 60.1b | (fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x))) | |
| 14.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3))))) | |
| ✓ | 60.1b | (-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| ✓ | 30.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 15.5b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))))) | |
| 2.4b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) | |
| 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 60.2b | (-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)) | |
| 0.7b | (/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 7.1b | (/.f64 1 (+.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 14.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| 46.3b | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) | |
| 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))))) | |
| 14.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2)))) | |
| ✓ | 30.6b | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
| 31.8b | (-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) | |
| 32.1b | (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) | |
| 1.5b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))))))) |
Compiled 1858 to 1414 computations (23.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.6b | (cbrt.f64 (cbrt.f64 x)) |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 0.6b | (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
Compiled 111 to 71 computations (36% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
| 8.0ms | x | @ | 0 | (cbrt.f64 (cbrt.f64 x)) |
| 8.0ms | x | @ | inf | (cbrt.f64 (cbrt.f64 x)) |
| 8.0ms | x | @ | -inf | (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
| 7.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
| 1× | batch-egg-rewrite |
| 482× | pow1_binary64 |
| 462× | add-sqr-sqrt_binary64 |
| 452× | *-un-lft-identity_binary64 |
| 447× | add-log-exp_binary64 |
| 447× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 135 | 19 |
| 2 | 1376 | 19 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
(cbrt.f64 (cbrt.f64 x)) |
(pow.f64 (cbrt.f64 x) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 1/6) (*.f64 (pow.f64 (cbrt.f64 x) 1/6) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/6) 1/3) (pow.f64 (pow.f64 x 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) |
| 1× | egg-herbie |
| 865× | sqr-pow_binary64 |
| 732× | fma-def_binary64 |
| 540× | unswap-sqr_binary64 |
| 390× | *-commutative_binary64 |
| 317× | cube-prod_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 396 |
| 1 | 56 | 396 |
| 2 | 111 | 396 |
| 3 | 280 | 396 |
| 4 | 1050 | 280 |
| 5 | 2159 | 280 |
| 6 | 2345 | 280 |
| 7 | 2636 | 280 |
| 8 | 3052 | 280 |
| 9 | 3499 | 280 |
| 10 | 4108 | 280 |
| 11 | 4869 | 280 |
| 12 | 5757 | 280 |
| 13 | 6965 | 280 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 x 2) 1/9) |
(pow.f64 (pow.f64 x 2) 1/9) |
(pow.f64 (pow.f64 x 2) 1/9) |
(pow.f64 (pow.f64 x 2) 1/9) |
(pow.f64 (pow.f64 x 2) 1/9) |
(pow.f64 (pow.f64 x 2) 1/9) |
(pow.f64 (pow.f64 x 2) 1/9) |
(pow.f64 (pow.f64 x 2) 1/9) |
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
| Outputs |
|---|
(pow.f64 (pow.f64 x 2) 1/9) |
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) |
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) |
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) |
(pow.f64 (pow.f64 x 2) 1/9) |
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) |
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) |
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) |
(pow.f64 (pow.f64 x 2) 1/9) |
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) |
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) |
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) |
(pow.f64 (pow.f64 x 2) 1/9) |
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) |
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) |
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) |
(pow.f64 (pow.f64 x 2) 1/9) |
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) |
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) |
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) |
(pow.f64 (pow.f64 x 2) 1/9) |
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) |
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) |
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) |
(pow.f64 (pow.f64 x 2) 1/9) |
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) |
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) |
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) |
(pow.f64 (pow.f64 x 2) 1/9) |
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) |
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) |
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) |
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(pow.f64 x 1/9) |
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) |
(pow.f64 (pow.f64 x 1/36) 4) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (neg.f64 x) 1/18))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (neg.f64 x) 1/18))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (neg.f64 x) 1/18))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (neg.f64 x) 1/18))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.2b | (pow.f64 (+.f64 x 1) 1/3) | |
| ✓ | 1.7b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| 2.4b | (pow.f64 x 1/3) |
Compiled 24 to 18 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| 0.0ms | x | @ | 0 | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| 1× | batch-egg-rewrite |
| 870× | pow1_binary64 |
| 819× | add-log-exp_binary64 |
| 819× | log1p-expm1-u_binary64 |
| 819× | expm1-log1p-u_binary64 |
| 799× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 186 | 11 |
| 2 | 2293 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 10 | 8 |
| 2 | 12 | 8 |
| 1× | saturated |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
0 |
0 |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
0 |
0 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (cbrt.f64 (cbrt.f64 x)) | |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
| ✓ | 21.9b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
Compiled 31 to 18 computations (41.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
| 1.0ms | x | @ | -inf | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
| 1.0ms | x | @ | 0 | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
| 1× | batch-egg-rewrite |
| 934× | pow1_binary64 |
| 877× | add-log-exp_binary64 |
| 877× | log1p-expm1-u_binary64 |
| 877× | expm1-log1p-u_binary64 |
| 95× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 216 | 14 |
| 2 | 2466 | 14 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 1/6) (*.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) 3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 1/6)) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x))))))) |
| 1× | egg-herbie |
| 887× | fma-neg_binary64 |
| 577× | fma-def_binary64 |
| 416× | distribute-rgt-neg-in_binary64 |
| 370× | sub-neg_binary64 |
| 319× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 191 |
| 1 | 119 | 140 |
| 2 | 317 | 138 |
| 3 | 815 | 132 |
| 4 | 2409 | 132 |
| 5 | 4200 | 132 |
| 6 | 7206 | 132 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(*.f64 -1 (pow.f64 (*.f64 1 x) 1/3)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(pow.f64 x 1/3) |
(pow.f64 x 1/3) |
(pow.f64 x 1/3) |
(pow.f64 x 1/3) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
| Outputs |
|---|
(-.f64 1 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(+.f64 1 (neg.f64 (cbrt.f64 x))) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(+.f64 (+.f64 1 (*.f64 x 1/3)) (neg.f64 (cbrt.f64 x))) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 x 1/3))) (neg.f64 (cbrt.f64 x))) |
(-.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 x 1/3 1)) (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 (fma.f64 x (*.f64 x -1/9) 1)) (cbrt.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 x -1/9 1/3) 1) (cbrt.f64 x)) |
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 x 1/3)))) (neg.f64 (cbrt.f64 x))) |
(-.f64 (+.f64 (fma.f64 x 1/3 (*.f64 5/81 (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 x x) 1)) (cbrt.f64 x)) |
(-.f64 (fma.f64 x (*.f64 x -1/9) (fma.f64 x 1/3 (fma.f64 5/81 (pow.f64 x 3) 1))) (cbrt.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 5/81 (pow.f64 x 3) 1)) (cbrt.f64 x)) |
(*.f64 -1 (pow.f64 (*.f64 1 x) 1/3)) |
(neg.f64 (cbrt.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))) |
(neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (neg.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(pow.f64 x 1/3) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(pow.f64 x 1/3) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(pow.f64 x 1/3) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(pow.f64 x 1/3) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (cbrt.f64 (+.f64 x 1)) | |
| 0.3b | (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) | |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 14.7b | (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) |
Compiled 77 to 51 computations (33.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) |
| 0.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) |
| 0.0ms | x | @ | -inf | (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) |
| 1× | batch-egg-rewrite |
| 584× | pow1_binary64 |
| 548× | add-log-exp_binary64 |
| 548× | log1p-expm1-u_binary64 |
| 548× | expm1-log1p-u_binary64 |
| 535× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 145 | 9 |
| 2 | 1633 | 9 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (+.f64 x 1) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))))) |
| 1× | egg-herbie |
| 660× | distribute-rgt-in_binary64 |
| 606× | distribute-lft-in_binary64 |
| 536× | unswap-sqr_binary64 |
| 499× | associate-*l*_binary64 |
| 446× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 39 |
| 1 | 50 | 37 |
| 2 | 108 | 37 |
| 3 | 299 | 31 |
| 4 | 760 | 28 |
| 5 | 2344 | 28 |
| 6 | 3981 | 28 |
| 7 | 4209 | 28 |
| 8 | 4508 | 28 |
| 9 | 5047 | 28 |
| 10 | 6044 | 28 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 2/3 x) 1) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 2/3 x) 1) |
(fma.f64 2/3 x 1) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1)) |
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) 1)) |
(fma.f64 x (fma.f64 x -1/9 2/3) 1) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3))))) |
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 4/81 (pow.f64 x 3)))) |
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 3) 1))) |
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) (fma.f64 4/81 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x -1/9 2/3) (fma.f64 4/81 (pow.f64 x 3) 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 4/81 -1/9) 2/3) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
| 0.6b | (cbrt.f64 (cbrt.f64 x)) | |
| 0.6b | (cbrt.f64 x) | |
| 0.7b | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
Compiled 90 to 57 computations (36.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
| 1× | batch-egg-rewrite |
| 445× | log-prod_binary64 |
| 403× | fma-def_binary64 |
| 385× | pow-prod-down_binary64 |
| 325× | exp-prod_binary64 |
| 248× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 238 | 16 |
| 2 | 2818 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (+.f64 x 1)) (*.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 x) x)) (-.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (exp.f64 (*.f64 2/3 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (+.f64 x (+.f64 x 1))) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (exp.f64 (*.f64 2/3 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 2)) (cbrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (pow.f64 x 1/18) 4) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/18) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/18) 4) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (sqrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (pow.f64 x 1/18) 4) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (+.f64 x 1)) 1/6) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (pow.f64 x 1/18) 4) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/18) 4)) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/6)) (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 13871 to 9478 computations (31.7% saved)
60 alts after pruning (50 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 30 | 611 |
| Fresh | 22 | 20 | 42 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 9 | 12 |
| Total | 606 | 60 | 666 |
| Status | Error | Program |
|---|---|---|
| 60.1b | (fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x))) | |
| ✓ | 14.8b | (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3)) | |
| 30.9b | (fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x))) | |
| 31.9b | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) | |
| ✓ | 32.1b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
| 14.9b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| 32.9b | (-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) | |
| 30.0b | (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)) 1/3))) | |
| 14.9b | (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3))) | |
| 30.3b | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) | |
| 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) | |
| 15.5b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (+.f64 (*.f64 x (+.f64 x 1)) (*.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))))) | |
| 18.5b | (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 7.0b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (*.f64 x (cbrt.f64 x)))))) | |
| 32.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 x) 2)))) | |
| 32.9b | (-.f64 1 (cbrt.f64 x)) | |
| 14.8b | (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| ✓ | 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 0.7b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 0.7b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3))) | |
| 14.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| 0.7b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))))) | |
| ✓ | 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| ✓ | 30.3b | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
| 0.9b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)))) | |
| 30.0b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2))) | |
| ✓ | 30.9b | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
| 1.1b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 33.0b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ✓ | 46.2b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3) (pow.f64 (cbrt.f64 x) 2)))) | |
| 32.5b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 x 1/9) (pow.f64 (cbrt.f64 x) 2)))) | |
| 1.8b | (/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 14.8b | (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3))))) | |
| 46.2b | (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) | |
| 33.0b | 1 | |
| 18.1b | (/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ✓ | 60.1b | (-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| 61.7b | 0 | |
| 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 18.4b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 x)))) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ✓ | 30.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 1.3b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) | |
| 15.5b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))))) | |
| 2.4b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) | |
| 32.4b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/6)))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) | |
| 60.2b | (-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)) | |
| 7.1b | (/.f64 1 (+.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 30.3b | (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) | |
| 46.3b | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) | |
| 27.5b | (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))))) | |
| 18.5b | (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 46.0b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3)) | |
| 32.1b | (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) | |
| 14.8b | (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| 1.5b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))))))) | |
| 46.3b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2)) | |
| ✓ | 0.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
Compiled 1172 to 901 computations (23.1% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3)) |
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x))) |
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) |
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x)) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x))) |
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))) |
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)))) |
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(/.f64 1 (+.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3))))) |
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)) 1/3))) |
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (sqrt.f64 x) (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x))) |
(/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) |
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (+.f64 (*.f64 x (+.f64 x 1)) (*.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))))) |
(+.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 x)))) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 x 1/9) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (*.f64 x (cbrt.f64 x)))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/6)))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)))) |
| Outputs |
|---|
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
3 calls:
| 88.0ms | x |
| 15.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 14.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | x |
| 0.6b | 1 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 0.6b | 1 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 2015 to 1380 computations (31.5% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3)) |
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x))) |
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) |
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x)) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x))) |
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
3 calls:
| 210.0ms | x |
| 14.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 12.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 7.3b | 3 | x |
| 14.8b | 1 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 14.8b | 1 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 656 to 443 computations (32.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 104.0ms | 1.5653427225492753e+145 | 6.108592986888319e+156 |
| 123.0ms | -5.0582001216640704e+179 | -5.02107882161388e+152 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3)) |
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x))) |
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) |
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x)) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x))) |
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
3 calls:
| 62.0ms | x |
| 11.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 8.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 2 | x |
| 18.5b | 1 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 18.5b | 1 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 637 to 430 computations (32.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -15.677859053130133 | -0.602516291185853 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3)) |
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x))) |
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) |
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) |
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x)) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x))) |
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
3 calls:
| 69.0ms | x |
| 37.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 7.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 15.1b | 2 | x |
| 18.5b | 1 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 18.5b | 1 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 619 to 419 computations (32.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | -15.677859053130133 | -0.602516291185853 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3)) |
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) |
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x))) |
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
3 calls:
| 87.0ms | x |
| 10.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 10.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 25.5b | 3 | x |
| 25.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 25.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 452 to 304 computations (32.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 435844974019.13763 | 3049144765228302.5 |
| 39.0ms | -24399949420578780.0 | -16656208939.85756 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3)) |
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
3 calls:
| 93.0ms | x |
| 11.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 7.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 25.5b | 3 | x |
| 25.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 25.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 207 to 142 computations (31.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 435844974019.13763 | 3049144765228302.5 |
| 17.0ms | -24399949420578780.0 | -16656208939.85756 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2)) |
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3)) |
| Outputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
2 calls:
| 13.0ms | x |
| 4.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 30.3b | 1 | x |
| 30.3b | 1 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 153 to 107 computations (30.1% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
1 calls:
| 52.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.9b | 1 | x |
Compiled 21 to 16 computations (23.8% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
(-.f64 1 (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 1 (cbrt.f64 x)) |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.9b | 1 | x |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
| Outputs |
|---|
1 |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.0b | 1 | x |
Compiled 10 to 9 computations (10% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
0 |
0 |
| Outputs |
|---|
0 |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 61.7b | 1 | x |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 4294967642 |
| 1 | 68 | 4294967642 |
| 2 | 74 | 4294967642 |
| 3 | 76 | 4294967642 |
| 4 | 77 | 4294967642 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(if (<=.f64 x -505820012166407044214656059035185296666919623710738303832053832361972824784529491910032263670644676911378936272408814006002780775783257831239990188711624584374267360361296638771200) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 15653427225492752610089181221769164928712054615481387354608889891433223446852541188831930207618469469699579039693404623725892316856274268664627200) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) |
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) |
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) |
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) |
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 1 (cbrt.f64 x)) |
1 |
0 |
| Outputs |
|---|
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) |
(if (<=.f64 x -505820012166407044214656059035185296666919623710738303832053832361972824784529491910032263670644676911378936272408814006002780775783257831239990188711624584374267360361296638771200) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 15653427225492752610089181221769164928712054615481387354608889891433223446852541188831930207618469469699579039693404623725892316856274268664627200) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) |
(if (<=.f64 x -505820012166407044214656059035185296666919623710738303832053832361972824784529491910032263670644676911378936272408814006002780775783257831239990188711624584374267360361296638771200) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (if (<=.f64 x 15653427225492752610089181221769164928712054615481387354608889891433223446852541188831930207618469469699579039693404623725892316856274268664627200) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (exp.f64 (*.f64 2/3 (log1p.f64 x))))))) |
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) |
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (exp.f64 (*.f64 2/3 (log1p.f64 x)))))) |
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) |
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (pow.f64 (+.f64 1 x) 2/3)))) |
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) |
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) |
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) |
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) |
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x)) |
(-.f64 1 (cbrt.f64 x)) |
1 |
0 |
Compiled 269 to 191 computations (29% saved)
Compiled 259 to 172 computations (33.6% saved)
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