Time bar (total: 8.0s)
| 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)
| 474.0ms | 2091× | body | 1024 | valid |
| 430.0ms | 4881× | body | 256 | valid |
| 156.0ms | 1060× | body | 512 | valid |
| 74.0ms | 224× | 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 |
|---|---|---|
| ▶ | 31.3b | (-.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) |
| ✓ | 2.5b | (-.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)) |
| 1.0ms | x | @ | -inf | (cbrt.f64 x) |
| 1.0ms | 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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3)))))) |
| 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)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 21 | 81 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 60 | 22 | 82 |
| Status | Error | Program |
|---|---|---|
| ▶ | 31.5b | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
| 32.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) | |
| 32.1b | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) | |
| 31.3b | (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) | |
| 32.3b | (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) | |
| 31.5b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) | |
| 31.3b | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) | |
| 61.7b | 0 | |
| 32.5b | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) | |
| ✓ | 31.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 34.1b | 1 | |
| 31.4b | (-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))) | |
| 31.3b | (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) | |
| ▶ | 43.9b | (-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
| 31.4b | (/.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)))))) | |
| 31.5b | (+.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))) | |
| 31.6b | (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x))) | |
| ▶ | 30.5b | (/.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))))) |
| ▶ | 43.8b | (*.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))) |
| ▶ | 43.6b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 31.4b | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) | |
| 32.4b | (-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) |
Compiled 564 to 418 computations (25.9% 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) | |
| ✓ | 1.7b | (-.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))))))) 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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)) | |
| ✓ | 2.8b | (pow.f64 x 1/3) |
| ✓ | 16.6b | (-.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 | (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 | @ | 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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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) | |
| ✓ | 2.3b | (exp.f64 (log.f64 (cbrt.f64 x))) |
| ✓ | 16.6b | (-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
Compiled 28 to 14 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | -inf | (-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
| 1.0ms | x | @ | inf | (-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
| 0.0ms | x | @ | 0 | (-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (cbrt.f64 x))) |
| 0.0ms | x | @ | -inf | (exp.f64 (log.f64 (cbrt.f64 x))) |
| 1× | batch-egg-rewrite |
| 850× | pow1_binary64 |
| 793× | log1p-expm1-u_binary64 |
| 793× | expm1-log1p-u_binary64 |
| 792× | add-log-exp_binary64 |
| 772× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 173 | 14 |
| 2 | 2182 | 14 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))) |
(exp.f64 (log.f64 (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))) (cbrt.f64 (cbrt.f64 (*.f64 x 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 (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) (cbrt.f64 (*.f64 x x))) (/.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) (cbrt.f64 (*.f64 x x)))))))) (#(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) (cbrt.f64 (*.f64 x x))) (+.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) (cbrt.f64 (*.f64 x x)))) (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 log1p.f64 (expm1.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 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 1 (-.f64 (cbrt.f64 x) 1))))) (#(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)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (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 (cbrt.f64 (*.f64 x x)) 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 (E.f64) (log.f64 (cbrt.f64 x)))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(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 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 | 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) | |
| ✓ | 22.2b | (-.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 | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
| 3.0ms | x | @ | inf | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) |
| 1.0ms | x | @ | 0 | (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
| 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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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)))))) |
| 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) |
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(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) |
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(+.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) -7/81) (/.f64 (*.f64 x 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 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) (*.f64 x x)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) (fma.f64 2/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) -1/3) x) (/.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) -7/81)) (fma.f64 8/729 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) (fma.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) -112/2187) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) -68/2187)))) (pow.f64 x 3)))))))) |
(+.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 |
|---|---|---|
| ✓ | 0.0b | (*.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))) |
| ✓ | 1.1b | (pow.f64 (+.f64 x 1) 1/6) |
| ✓ | 1.4b | (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) |
| ✓ | 2.3b | (pow.f64 x 1/6) |
Compiled 52 to 40 computations (23.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | -inf | (pow.f64 x 1/6) |
| 21.0ms | x | @ | 0 | (pow.f64 x 1/6) |
| 6.0ms | x | @ | inf | (pow.f64 x 1/6) |
| 2.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) |
| 2.0ms | x | @ | -inf | (*.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))) |
| 1× | batch-egg-rewrite |
| 939× | prod-diff_binary64 |
| 480× | log-prod_binary64 |
| 426× | fma-def_binary64 |
| 276× | pow2_binary64 |
| 245× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 1 | 228 | 35 |
| 2 | 3172 | 35 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 1/6) |
(-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) |
(pow.f64 (+.f64 x 1) 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))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 923× | fma-def_binary64 |
| 714× | associate-+l+_binary64 |
| 641× | associate-+r+_binary64 |
| 299× | fma-neg_binary64 |
| 273× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 1704 |
| 1 | 507 | 1565 |
| 2 | 1526 | 1301 |
| 3 | 6701 | 1005 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 1 (pow.f64 x 1/6)) |
(-.f64 (+.f64 1 (*.f64 1/6 x)) (pow.f64 x 1/6)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))) (pow.f64 x 1/6)) |
(-.f64 (+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))) (pow.f64 x 1/6)) |
(*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) |
(+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))) |
(+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))) |
(+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) (*.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6))))) |
(*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -935/31104 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) |
1 |
(+.f64 1 (*.f64 1/6 x)) |
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))) |
(+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))) |
(pow.f64 x 1/6) |
(+.f64 (pow.f64 x 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))) |
(+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))) |
(+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) |
(*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (-.f64 1 (pow.f64 x 1/6))) (*.f64 1/6 (+.f64 1 (pow.f64 x 1/6)))) x) (*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (-.f64 1 (pow.f64 x 1/6))) (*.f64 1/6 (+.f64 1 (pow.f64 x 1/6)))) x) (+.f64 (*.f64 (+.f64 (*.f64 -5/72 (+.f64 1 (pow.f64 x 1/6))) (+.f64 1/36 (*.f64 -5/72 (-.f64 1 (pow.f64 x 1/6))))) (pow.f64 x 2)) (*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (-.f64 1 (pow.f64 x 1/6))) (*.f64 1/6 (+.f64 1 (pow.f64 x 1/6)))) x) (+.f64 (*.f64 (+.f64 (*.f64 -5/72 (+.f64 1 (pow.f64 x 1/6))) (+.f64 1/36 (*.f64 -5/72 (-.f64 1 (pow.f64 x 1/6))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 55/1296 (-.f64 1 (pow.f64 x 1/6))) (*.f64 55/1296 (+.f64 1 (pow.f64 x 1/6)))) 5/216) (pow.f64 x 3)) (*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6)))))) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)))) |
(+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)))))) |
(+.f64 (*.f64 55/3888 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3)) (+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 25/5184 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (+.f64 (*.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 -935/15552 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3))))))))) |
(*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) |
(+.f64 (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -55/648 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 5/216 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))) |
(+.f64 (*.f64 25/5184 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -55/648 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 5/216 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 -935/15552 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (+.f64 (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 55/3888 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)))))))) |
| Outputs |
|---|
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) |
(pow.f64 (exp.f64 1/6) (log.f64 x)) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) |
(pow.f64 (exp.f64 1/6) (log.f64 x)) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) |
(pow.f64 (exp.f64 1/6) (log.f64 x)) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) |
(pow.f64 (exp.f64 1/6) (log.f64 x)) |
(-.f64 1 (pow.f64 x 1/6)) |
(-.f64 (+.f64 1 (*.f64 1/6 x)) (pow.f64 x 1/6)) |
(-.f64 (fma.f64 1/6 x 1) (pow.f64 x 1/6)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))) (pow.f64 x 1/6)) |
(+.f64 1 (-.f64 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x))) (pow.f64 x 1/6))) |
(+.f64 1 (-.f64 (fma.f64 -5/72 (*.f64 x x) (*.f64 1/6 x)) (pow.f64 x 1/6))) |
(-.f64 (fma.f64 1/6 x (fma.f64 x (*.f64 x -5/72) 1)) (pow.f64 x 1/6)) |
(fma.f64 x (+.f64 1/6 (*.f64 x -5/72)) (-.f64 1 (pow.f64 x 1/6))) |
(-.f64 (+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))) (pow.f64 x 1/6)) |
(-.f64 (fma.f64 55/1296 (pow.f64 x 3) (+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x))))) (pow.f64 x 1/6)) |
(+.f64 (fma.f64 55/1296 (pow.f64 x 3) 1) (-.f64 (fma.f64 -5/72 (*.f64 x x) (*.f64 1/6 x)) (pow.f64 x 1/6))) |
(-.f64 (fma.f64 55/1296 (pow.f64 x 3) (fma.f64 1/6 x (fma.f64 x (*.f64 x -5/72) 1))) (pow.f64 x 1/6)) |
(fma.f64 55/1296 (pow.f64 x 3) (fma.f64 x (+.f64 1/6 (*.f64 x -5/72)) (-.f64 1 (pow.f64 x 1/6)))) |
(*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) |
(+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))) |
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))) |
(fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6))) |
(+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))) |
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))) |
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)))) |
(fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)))) |
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))) |
(+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) (*.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6))))) |
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6))))) |
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))) |
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6))))) |
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))) |
(*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) |
(*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)) |
(*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) |
(*.f64 (/.f64 1/6 x) (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6))) |
(*.f64 (/.f64 1/6 x) (pow.f64 (exp.f64 1/6) (log.f64 x))) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 -5/72 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) x) (+.f64 1/6 (/.f64 -5/72 x))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) x) (+.f64 1/6 (/.f64 -5/72 x))) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))) |
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 (*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 55/1296) (pow.f64 x 3)))) |
(fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) x) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1/6) (/.f64 (*.f64 x x) (pow.f64 -1 1/6))) (+.f64 -5/72 (/.f64 55/1296 x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) x) (*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) (*.f64 x x)) (+.f64 -5/72 (/.f64 55/1296 x)))) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -935/31104 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) |
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 -935/31104 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 4)) (fma.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))) |
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 -935/31104 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 (*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 55/1296) (pow.f64 x 3))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) x) (+.f64 1/6 (/.f64 -5/72 x))) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1/6) (/.f64 (*.f64 x x) (pow.f64 -1 1/6))) (+.f64 (/.f64 55/1296 x) (/.f64 -935/31104 (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) x) (+.f64 1/6 (/.f64 -5/72 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) (*.f64 x x)) (+.f64 (/.f64 55/1296 x) (/.f64 -935/31104 (*.f64 x x))))) |
1 |
(+.f64 1 (*.f64 1/6 x)) |
(fma.f64 1/6 x 1) |
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x)))) |
(+.f64 1 (fma.f64 -5/72 (*.f64 x x) (*.f64 1/6 x))) |
(fma.f64 1/6 x (fma.f64 x (*.f64 x -5/72) 1)) |
(+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))) |
(fma.f64 55/1296 (pow.f64 x 3) (+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x))))) |
(+.f64 (fma.f64 -5/72 (*.f64 x x) (*.f64 1/6 x)) (fma.f64 55/1296 (pow.f64 x 3) 1)) |
(fma.f64 55/1296 (pow.f64 x 3) (fma.f64 1/6 x (fma.f64 x (*.f64 x -5/72) 1))) |
(pow.f64 x 1/6) |
(+.f64 (pow.f64 x 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))) |
(fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (pow.f64 x 1/6)) |
(+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))) |
(+.f64 (pow.f64 x 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))) |
(+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (pow.f64 x 1/6))) |
(fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (pow.f64 x 1/6))) |
(+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))) |
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (+.f64 (pow.f64 x 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))) |
(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6))) (fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (pow.f64 x 1/6))) |
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (pow.f64 x 1/6)))) |
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) |
(pow.f64 (exp.f64 1/6) (log.f64 x)) |
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6) (*.f64 (/.f64 1/6 x) (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) x) (pow.f64 (exp.f64 1/6) (log.f64 x))) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) |
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))) |
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(fma.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) x) (+.f64 1/6 (/.f64 -5/72 x)))) |
(+.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) x) (+.f64 1/6 (/.f64 -5/72 x)))) |
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))) |
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))) |
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(fma.f64 55/1296 (/.f64 (pow.f64 (/.f64 -1 x) -1/6) (/.f64 (pow.f64 x 3) (pow.f64 -1 1/6))) (fma.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) x) (+.f64 1/6 (/.f64 -5/72 x))))) |
(+.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) x) (*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) (*.f64 x x)) (+.f64 -5/72 (/.f64 55/1296 x))))) |
(*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6))) |
(*.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (-.f64 1 (pow.f64 x 1/6))) (*.f64 1/6 (+.f64 1 (pow.f64 x 1/6)))) x) (*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6)))) |
(fma.f64 (*.f64 1/6 (+.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) x (*.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) |
(fma.f64 x (*.f64 1/6 (+.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) (*.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) |
(fma.f64 x (fma.f64 1/6 (-.f64 1 (pow.f64 x 1/6)) (fma.f64 1/6 (pow.f64 x 1/6) 1/6)) (*.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) |
(fma.f64 x 1/3 (*.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (-.f64 1 (pow.f64 x 1/6))) (*.f64 1/6 (+.f64 1 (pow.f64 x 1/6)))) x) (+.f64 (*.f64 (+.f64 (*.f64 -5/72 (+.f64 1 (pow.f64 x 1/6))) (+.f64 1/36 (*.f64 -5/72 (-.f64 1 (pow.f64 x 1/6))))) (pow.f64 x 2)) (*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6))))) |
(fma.f64 (*.f64 1/6 (+.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) x (fma.f64 (fma.f64 -5/72 (+.f64 1 (pow.f64 x 1/6)) (+.f64 1/36 (*.f64 (-.f64 1 (pow.f64 x 1/6)) -5/72))) (*.f64 x x) (*.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6))))) |
(fma.f64 x (*.f64 1/6 (+.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) (fma.f64 (*.f64 x x) (fma.f64 -5/72 (+.f64 1 (pow.f64 x 1/6)) (fma.f64 (-.f64 1 (pow.f64 x 1/6)) -5/72 1/36)) (*.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6))))) |
(fma.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)) (*.f64 x (+.f64 (fma.f64 1/6 (-.f64 1 (pow.f64 x 1/6)) (fma.f64 1/6 (pow.f64 x 1/6) 1/6)) (*.f64 x (fma.f64 (-.f64 1 (pow.f64 x 1/6)) -5/72 (+.f64 (*.f64 (pow.f64 x 1/6) -5/72) -1/24)))))) |
(fma.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)) (*.f64 x (+.f64 (*.f64 x -1/9) 1/3))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (-.f64 1 (pow.f64 x 1/6))) (*.f64 1/6 (+.f64 1 (pow.f64 x 1/6)))) x) (+.f64 (*.f64 (+.f64 (*.f64 -5/72 (+.f64 1 (pow.f64 x 1/6))) (+.f64 1/36 (*.f64 -5/72 (-.f64 1 (pow.f64 x 1/6))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 55/1296 (-.f64 1 (pow.f64 x 1/6))) (*.f64 55/1296 (+.f64 1 (pow.f64 x 1/6)))) 5/216) (pow.f64 x 3)) (*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6)))))) |
(fma.f64 (*.f64 1/6 (+.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) x (fma.f64 (fma.f64 -5/72 (+.f64 1 (pow.f64 x 1/6)) (+.f64 1/36 (*.f64 (-.f64 1 (pow.f64 x 1/6)) -5/72))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 55/1296 (+.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) -5/216) (pow.f64 x 3) (*.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))))) |
(fma.f64 x (*.f64 1/6 (+.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))) (fma.f64 (*.f64 x x) (fma.f64 -5/72 (+.f64 1 (pow.f64 x 1/6)) (fma.f64 (-.f64 1 (pow.f64 x 1/6)) -5/72 1/36)) (fma.f64 (pow.f64 x 3) (fma.f64 55/1296 (+.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6))) -5/216) (*.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)))))) |
(fma.f64 1/6 (*.f64 x (+.f64 (pow.f64 x 1/6) (+.f64 (neg.f64 (pow.f64 x 1/6)) 2))) (fma.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 25/1296 (*.f64 55/1296 (+.f64 (pow.f64 x 1/6) (-.f64 1 (pow.f64 x 1/6)))))) (fma.f64 (-.f64 1 (pow.f64 x 1/6)) -5/72 (+.f64 (*.f64 (pow.f64 x 1/6) -5/72) -1/24)))))) |
(fma.f64 x 1/3 (fma.f64 (-.f64 1 (pow.f64 x 1/6)) (+.f64 1 (pow.f64 x 1/6)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 5/81) -1/9)))) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)))) |
(fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))))) |
(fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)))))) |
(fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81)))) |
(fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81 (*.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))))))) |
(+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81)) |
(+.f64 (*.f64 55/3888 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3)) (+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 25/5184 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (+.f64 (*.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 -935/15552 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3))))))))) |
(fma.f64 55/3888 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 25/5184 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -935/15552))))))) |
(fma.f64 55/3888 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) 25/5184 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -935/15552))))))) |
(fma.f64 55/3888 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) 25/5184 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -935/15552)))))) |
(fma.f64 55/3888 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) 25/5184 (+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -935/15552))))) |
(*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) |
(*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x)) |
(*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x)) |
(*.f64 (/.f64 1/3 x) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(+.f64 (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)))) |
(fma.f64 1/36 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (fma.f64 -5/36 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x)) -1/9)) |
(fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) x) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (*.f64 x x)) -1/9)) |
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -55/648 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 5/216 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) -5/81) (pow.f64 x 3)) (fma.f64 -5/36 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (fma.f64 1/36 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x)) -1/9)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (/.f64 (pow.f64 x 3) -5/81))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (*.f64 x x)) -1/9 (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) x) (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) 5/81) (pow.f64 x 3)))) |
(fma.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)) -1/9 (fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (/.f64 (*.f64 (cbrt.f64 (exp.f64 (log.f64 x))) 5/81) (pow.f64 x 3)))) |
(+.f64 (*.f64 25/5184 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -55/648 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 5/216 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 -935/15552 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (+.f64 (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 55/3888 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)))))))) |
(fma.f64 25/5184 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) -5/81) (pow.f64 x 3)) (fma.f64 -935/15552 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (pow.f64 x 4)) (fma.f64 -5/36 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (fma.f64 1/36 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (fma.f64 55/3888 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (pow.f64 x 4)) (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x)))))))) |
(fma.f64 25/5184 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 4)) (-.f64 (fma.f64 -935/15552 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 4)) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (/.f64 55/3888 (/.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)))) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x)) -1/9))) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (/.f64 (pow.f64 x 3) -5/81)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) 5/81) (pow.f64 x 3)) (fma.f64 25/5184 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (pow.f64 x 4)) (+.f64 (fma.f64 55/3888 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (pow.f64 x 4)) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) x) (+.f64 1/3 (/.f64 1/36 x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (*.f64 x x)) (+.f64 -5/36 (/.f64 (/.f64 -935/15552 x) x)))))) |
(+.f64 (fma.f64 55/3888 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (pow.f64 x 4)) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/3 (/.f64 1/36 x)))) (fma.f64 25/5184 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (pow.f64 x 4)) (fma.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)) (+.f64 -5/36 (/.f64 (/.f64 -935/15552 x) x)) (/.f64 (*.f64 (cbrt.f64 (exp.f64 (log.f64 x))) 5/81) (pow.f64 x 3))))) |
Compiled 26673 to 19341 computations (27.5% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 992 | 13 | 1005 |
| Fresh | 13 | 3 | 16 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1009 | 18 | 1027 |
| Status | Error | Program |
|---|---|---|
| 46.4b | (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) | |
| 30.5b | (/.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)))))) | |
| ▶ | 61.0b | (cbrt.f64 x) |
| ▶ | 30.5b | (/.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))))) |
| 32.1b | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) | |
| 31.3b | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) | |
| 61.7b | 0 | |
| 34.1b | 1 | |
| 44.7b | (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) | |
| ✓ | 31.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 47.2b | (fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)))) | |
| ▶ | 31.4b | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
| ✓ | 43.6b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 45.3b | (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| 46.4b | (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) | |
| ▶ | 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))))) |
| ▶ | 43.7b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| 43.1b | (/.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))))) |
Compiled 433 to 327 computations (24.5% 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (cbrt.f64 x) |
Compiled 4 to 2 computations (50% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.4b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| ✓ | 1.4b | (pow.f64 (+.f64 x 1) 1/3) |
| 2.8b | (pow.f64 x 1/3) |
Compiled 24 to 18 computations (25% saved)
6 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 | (pow.f64 (+.f64 x 1) 1/3) |
| 0.0ms | x | @ | inf | (pow.f64 (+.f64 x 1) 1/3) |
| 0.0ms | x | @ | -inf | (pow.f64 (+.f64 x 1) 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 | 17 |
| 1 | 186 | 17 |
| 2 | 2293 | 17 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 x 1) 1/3) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| Outputs |
|---|
((#(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 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(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 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 log1p.f64 (expm1.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 +.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 log1p.f64 (expm1.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 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 |
| 640× | distribute-rgt-in_binary64 |
| 584× | distribute-lft-in_binary64 |
| 536× | unswap-sqr_binary64 |
| 476× | associate-*l*_binary64 |
| 432× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 53 |
| 1 | 47 | 47 |
| 2 | 107 | 45 |
| 3 | 281 | 39 |
| 4 | 721 | 38 |
| 5 | 2316 | 38 |
| 6 | 3915 | 38 |
| 7 | 4153 | 38 |
| 8 | 4453 | 38 |
| 9 | 4992 | 38 |
| 10 | 5989 | 38 |
| 1× | node limit |
| Inputs |
|---|
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)))) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
0 |
0 |
| Outputs |
|---|
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 x (*.f64 x -1/9) (fma.f64 1/3 x 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 5/81 (pow.f64 x 3) (fma.f64 x (fma.f64 x -1/9 1/3) 1)) |
(fma.f64 x (+.f64 1/3 (*.f64 x (fma.f64 x 5/81 -1/9))) 1) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
0 |
0 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
| 0.3b | (cbrt.f64 (+.f64 x 1)) | |
| 0.6b | (cbrt.f64 x) | |
| 2.5b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 38 to 25 computations (34.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
| 3.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
| 1× | batch-egg-rewrite |
| 918× | pow1_binary64 |
| 860× | add-log-exp_binary64 |
| 860× | log1p-expm1-u_binary64 |
| 860× | expm1-log1p-u_binary64 |
| 838× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 11 |
| 1 | 214 | 11 |
| 2 | 2430 | 11 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
| 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 (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 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(cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/4)) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/4))))) (#(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 (*.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(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 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 log1p.f64 (expm1.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 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 | 6 | 8 |
| 1 | 10 | 6 |
| 2 | 12 | 6 |
| 1× | saturated |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) | |
| 0.6b | (cbrt.f64 x) | |
| 1.7b | (-.f64 (+.f64 x 1) x) | |
| ✓ | 15.6b | (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) |
Compiled 86 to 56 computations (34.9% 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 log1p.f64 (expm1.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)))))))) |
| 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) |
Compiled 14032 to 9528 computations (32.1% saved)
37 alts after pruning (31 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 592 | 22 | 614 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 595 | 37 | 632 |
| Status | Error | Program |
|---|---|---|
| ▶ | 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)))) |
| 15.8b | (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ✓ | 61.0b | (cbrt.f64 x) |
| 46.4b | (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) | |
| 15.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| ✓ | 31.4b | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
| 16.9b | (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 32.1b | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) | |
| 31.6b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ✓ | 43.6b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 21.5b | (/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 x) (+.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))) |
| 31.3b | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) | |
| 61.7b | 0 | |
| 16.5b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))))) | |
| 15.8b | (/.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)))))) | |
| 28.5b | (/.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))))) | |
| ▶ | 45.3b | (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
| 44.8b | (-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) | |
| 15.7b | (/.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))))) | |
| ▶ | 45.5b | (-.f64 1 (pow.f64 x 1/3)) |
| 15.7b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))))) | |
| 34.1b | 1 | |
| 44.7b | (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) | |
| ✓ | 31.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 46.4b | (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) | |
| ▶ | 16.7b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))) |
| ✓ | 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))))) |
| 15.8b | (/.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))))) | |
| ✓ | 43.7b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| 16.5b | (/.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))))))) | |
| 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))))) | |
| 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))))) | |
| 7.5b | (/.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))))) | |
| 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))))) | |
| 47.2b | (fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)))) | |
| 42.0b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2))) |
Compiled 1249 to 947 computations (24.2% 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 | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
| 9.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
| 8.0ms | x | @ | 0 | (cbrt.f64 (cbrt.f64 x)) |
| 4.0ms | x | @ | -inf | (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
| 2.0ms | x | @ | -inf | (cbrt.f64 (cbrt.f64 x)) |
| 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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x)))))))) |
| 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.8b | (pow.f64 x 1/3) |
Compiled 12 to 9 computations (25% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9) |
| ✓ | 0.3b | (/.f64 1 (pow.f64 x 5)) |
| ✓ | 23.2b | (cbrt.f64 (/.f64 1 (pow.f64 x 5))) |
| ✓ | 27.8b | (cbrt.f64 (/.f64 (/.f64 1 x) x)) |
Compiled 58 to 45 computations (22.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | inf | (/.f64 1 (pow.f64 x 5)) |
| 1.0ms | x | @ | -inf | (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9) |
| 1.0ms | x | @ | 0 | (/.f64 1 (pow.f64 x 5)) |
| 1.0ms | x | @ | inf | (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9) |
| 1.0ms | x | @ | -inf | (/.f64 1 (pow.f64 x 5)) |
| 1× | batch-egg-rewrite |
| 479× | log-prod_binary64 |
| 371× | exp-prod_binary64 |
| 273× | pow2_binary64 |
| 259× | pow-prod-down_binary64 |
| 204× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 28 |
| 1 | 255 | 25 |
| 2 | 2929 | 25 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 (/.f64 1 x) x)) |
(cbrt.f64 (/.f64 1 (pow.f64 x 5))) |
(/.f64 1 (pow.f64 x 5)) |
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (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 1 (/.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2))) 2)) (cbrt.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)))) (sqrt.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -5/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 x)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 5)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 -5/3 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) -5/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5 (log.f64 x)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) -5) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5 (log.f64 x)) -1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5/3 (log.f64 x)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -5) (cbrt.f64 (pow.f64 x -10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -10)) (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5/2) (pow.f64 x -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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exp.f64 (*.f64 (log.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5/3 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -15)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -5/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5 (log.f64 x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) -5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5 (log.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5/3 (log.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (pow.f64 x -5/2)) (*.f64 (log.f64 x) 5/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (cbrt.f64 (pow.f64 x -10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/9) (pow.f64 x -5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))))) (sqrt.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (cbrt.f64 (pow.f64 x -10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/9) (pow.f64 x -5/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))) 1) 1)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) | |
| ✓ | 0.3b | (*.f64 (log1p.f64 x) 1/3) |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 1.1b | (exp.f64 (*.f64 (log1p.f64 x) 1/3)) |
Compiled 88 to 54 computations (38.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (exp.f64 (*.f64 (log1p.f64 x) 1/3)) |
| 1.0ms | x | @ | inf | (exp.f64 (*.f64 (log1p.f64 x) 1/3)) |
| 0.0ms | x | @ | 0 | (exp.f64 (*.f64 (log1p.f64 x) 1/3)) |
| 0.0ms | x | @ | -inf | (*.f64 (log1p.f64 x) 1/3) |
| 0.0ms | x | @ | inf | (*.f64 (log1p.f64 x) 1/3) |
| 1× | batch-egg-rewrite |
| 477× | pow1_binary64 |
| 463× | add-sqr-sqrt_binary64 |
| 453× | *-un-lft-identity_binary64 |
| 441× | add-log-exp_binary64 |
| 441× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 1 | 115 | 12 |
| 2 | 1253 | 12 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log1p.f64 x) 1/3)) |
(*.f64 (log1p.f64 x) 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 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))) (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 pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log1p.f64 x))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/3)) 2)) (cbrt.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/3))) (sqrt.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(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 log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 x 1) 1/6)) (log.f64 (pow.f64 (+.f64 x 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log1p.f64 x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 x) 1/3))))))) |
| 1× | egg-herbie |
| 591× | unswap-sqr_binary64 |
| 464× | fma-neg_binary64 |
| 431× | associate-*l*_binary64 |
| 390× | fma-def_binary64 |
| 361× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 544 |
| 1 | 263 | 523 |
| 2 | 703 | 468 |
| 3 | 2002 | 386 |
| 4 | 6496 | 366 |
| 1× | node limit |
| Inputs |
|---|
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 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 5/81 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))))) |
(exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -1/9 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) |
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 5/81 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 -1/9 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) |
(*.f64 1/3 x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/3 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (*.f64 1/9 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 3))))) |
(*.f64 -1/3 (log.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1/3 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1/3 (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/3 (log.f64 (/.f64 1 x))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
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 -1/9 (*.f64 x x) 1)) |
(fma.f64 1/3 x (fma.f64 x (*.f64 x -1/9) 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))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) |
(+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (cbrt.f64 x)) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)))) |
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (cbrt.f64 x))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 5/81 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))))) |
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))))) |
(+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (cbrt.f64 x)) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))))) |
(exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(cbrt.f64 x) |
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) |
(+.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))) |
(fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(*.f64 (+.f64 (/.f64 1/3 x) 1) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(*.f64 (+.f64 (/.f64 1/3 x) 1) (cbrt.f64 x)) |
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -1/9 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) |
(+.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (*.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x))))) |
(+.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))))) |
(+.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (+.f64 1/3 (/.f64 -1/9 x)))) |
(+.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/3 (/.f64 -1/9 x)))) |
(+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (/.f64 -1/9 x)))) |
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 5/81 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 -1/9 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) |
(+.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 5/81 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (*.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)))))) |
(+.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (*.f64 5/81 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)))))) |
(+.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 5/81 (/.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (+.f64 1/3 (/.f64 -1/9 x))))) |
(+.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) |
(+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) |
(*.f64 1/3 x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/3 x)) |
(fma.f64 -1/6 (*.f64 x x) (*.f64 1/3 x)) |
(fma.f64 (*.f64 x x) -1/6 (*.f64 1/3 x)) |
(*.f64 x (+.f64 (*.f64 x -1/6) 1/3)) |
(*.f64 x (+.f64 1/3 (*.f64 x -1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (*.f64 1/9 (pow.f64 x 3)))) |
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) 1/9))) |
(fma.f64 (*.f64 x x) -1/6 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) 1/9))) |
(fma.f64 (pow.f64 x 3) 1/9 (*.f64 x (+.f64 (*.f64 x -1/6) 1/3))) |
(*.f64 x (+.f64 1/3 (*.f64 x (+.f64 -1/6 (*.f64 x 1/9))))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 3))))) |
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/3 x (fma.f64 -1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/9)))) |
(fma.f64 (*.f64 x x) -1/6 (fma.f64 1/3 x (fma.f64 (pow.f64 x 3) 1/9 (*.f64 -1/12 (pow.f64 x 4))))) |
(fma.f64 1/3 x (fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 3) 1/9 (*.f64 -1/12 (pow.f64 x 4))))) |
(fma.f64 1/3 x (*.f64 (*.f64 x x) (+.f64 -1/6 (*.f64 x (+.f64 1/9 (*.f64 x -1/12)))))) |
(*.f64 -1/3 (log.f64 (/.f64 1 x))) |
(*.f64 -1/3 (neg.f64 (log.f64 x))) |
(*.f64 1/3 (log.f64 x)) |
(+.f64 (*.f64 -1/3 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 x))) |
(fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) |
(+.f64 (*.f64 1/3 (log.f64 x)) (/.f64 1/3 x)) |
(fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1/3 (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 1/6 (*.f64 x x))) |
(+.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 -1/6 (*.f64 x x))) |
(+.f64 (*.f64 1/3 (log.f64 x)) (+.f64 (/.f64 1/3 x) (/.f64 -1/6 (*.f64 x x)))) |
(+.f64 (/.f64 1/3 x) (fma.f64 1/3 (log.f64 x) (/.f64 -1/6 (*.f64 x x)))) |
(+.f64 (fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) (/.f64 -1/6 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/3 (log.f64 (/.f64 1 x))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 x) (-.f64 (+.f64 (*.f64 -1/3 (neg.f64 (log.f64 x))) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/6 (*.f64 x x)))) |
(+.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/9 (pow.f64 x 3))) (-.f64 (/.f64 1/3 x) (/.f64 (/.f64 1/6 x) x))) |
(+.f64 (*.f64 1/3 (log.f64 x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 -1/6 (*.f64 x x))))) |
(+.f64 (fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/6 (*.f64 x x)))) |
(*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 -1/3 (neg.f64 (log.f64 x))) |
(*.f64 1/3 (log.f64 x)) |
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) |
(+.f64 (*.f64 1/3 (log.f64 x)) (/.f64 1/3 x)) |
(fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 1/6 (*.f64 x x))) |
(+.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 -1/6 (*.f64 x x))) |
(+.f64 (*.f64 1/3 (log.f64 x)) (+.f64 (/.f64 1/3 x) (/.f64 -1/6 (*.f64 x x)))) |
(+.f64 (/.f64 1/3 x) (fma.f64 1/3 (log.f64 x) (/.f64 -1/6 (*.f64 x x)))) |
(+.f64 (fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) (/.f64 -1/6 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 x) (-.f64 (+.f64 (*.f64 -1/3 (neg.f64 (log.f64 x))) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/6 (*.f64 x x)))) |
(+.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/9 (pow.f64 x 3))) (-.f64 (/.f64 1/3 x) (/.f64 (/.f64 1/6 x) x))) |
(+.f64 (*.f64 1/3 (log.f64 x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 -1/6 (*.f64 x x))))) |
(+.f64 (fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/6 (*.f64 x x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) |
| ✓ | 0.6b | (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3) |
Compiled 103 to 68 computations (34% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3) |
| 7.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3) |
| 4.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) |
| 1× | batch-egg-rewrite |
| 799× | prod-diff_binary64 |
| 451× | log-prod_binary64 |
| 394× | fma-def_binary64 |
| 365× | pow-prod-down_binary64 |
| 248× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 238 | 50 |
| 2 | 2807 | 50 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3) |
(cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) |
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) |
| 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 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 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 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 4) (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 2)) (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) (hypot.f64 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(cbrt.f64 x) (+.f64 x (+.f64 x 1))) (fma.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (-.f64 (pow.f64 (cbrt.f64 x) 2) (exp.f64 (*.f64 2/3 (log1p.f64 x))))) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(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 (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 (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 (pow.f64 (cbrt.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 4) 3/2)))) (#(struct:change #<rule egg-rr> 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(#(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 log1p.f64 (expm1.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 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 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 (cbrt.f64 x) 2) 1 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 1))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.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 (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) (*.f64 (pow.f64 x 1/6) (cbrt.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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (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) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (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 (*.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)))))) |
| 1× | egg-herbie |
| 1101× | fma-def_binary64 |
| 671× | sqr-pow_binary64 |
| 446× | unswap-sqr_binary64 |
| 352× | distribute-rgt-in_binary64 |
| 347× | cube-prod_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 1 | 65 | 54 |
| 2 | 142 | 54 |
| 3 | 315 | 52 |
| 4 | 900 | 40 |
| 5 | 1677 | 40 |
| 6 | 2531 | 40 |
| 7 | 3475 | 40 |
| 8 | 3830 | 40 |
| 9 | 4383 | 40 |
| 10 | 5033 | 40 |
| 11 | 5978 | 40 |
| 12 | 7283 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))) x) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(pow.f64 x 1/9) |
(+.f64 (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 x 10)) 1/9)) (pow.f64 x 1/9)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))) x) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) |
(fma.f64 (*.f64 (*.f64 1 (cbrt.f64 x)) 1/3) x (*.f64 1 (cbrt.f64 x))) |
(fma.f64 x (*.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 x 1/3))) |
(*.f64 (cbrt.f64 x) (fma.f64 x 1/3 1)) |
(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 (pow.f64 x 1/288) 32) |
(+.f64 (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 x 10)) 1/9)) (pow.f64 x 1/9)) |
(fma.f64 1/9 (*.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) |
(fma.f64 1/9 (pow.f64 (pow.f64 (pow.f64 x 10) 1/36) 4) (pow.f64 (pow.f64 x 1/36) 4)) |
(fma.f64 1/9 (pow.f64 (pow.f64 (pow.f64 x 10) 1/72) 8) (pow.f64 (pow.f64 x 1/36) 4)) |
(fma.f64 1/9 (pow.f64 (pow.f64 (pow.f64 x 10) 1/72) 8) (pow.f64 (pow.f64 x 1/288) 32)) |
Compiled 15449 to 11028 computations (28.6% saved)
51 alts after pruning (44 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 610 | 27 | 637 |
| Fresh | 9 | 17 | 26 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 6 | 10 |
| Total | 623 | 51 | 674 |
| Status | Error | Program |
|---|---|---|
| 16.8b | (/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))) | |
| 33.2b | (fma.f64 1/3 (pow.f64 (E.f64) (log.f64 (pow.f64 (cbrt.f64 x) -2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| 3.6b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x))))) | |
| 15.8b | (/.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))))) | |
| 33.2b | (-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) | |
| 15.8b | (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| ✓ | 61.0b | (cbrt.f64 x) |
| 46.4b | (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) | |
| 30.7b | (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| 16.9b | (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 32.1b | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)) | |
| 47.7b | (fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| 31.6b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 1.1b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 3) 3))) | |
| 42.0b | (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2))) | |
| ✓ | 43.6b | (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
| 21.5b | (/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) | |
| 15.8b | (/.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)))))) | |
| ✓ | 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))) |
| 31.3b | (log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) | |
| 61.7b | 0 | |
| 54.5b | (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) | |
| 30.7b | (fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| 30.7b | (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| 44.8b | (-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) | |
| 0.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)) 3))) | |
| 0.7b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) | |
| 47.6b | (fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| 17.0b | (/.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 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))) | |
| 28.5b | (/.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))))) | |
| 27.5b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) | |
| 7.3b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) | |
| 34.1b | 1 | |
| 44.7b | (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) | |
| ✓ | 31.3b | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 46.4b | (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) | |
| 15.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) | |
| 30.7b | (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| 53.7b | (fma.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| 31.1b | (fma.f64 1/3 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) | |
| ✓ | 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))))) |
| 45.1b | (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) | |
| 0.9b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 x))) 3))) | |
| ✓ | 43.7b | (-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| 0.8b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) | |
| 33.1b | (-.f64 1 (cbrt.f64 x)) | |
| 16.5b | (/.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))))))) | |
| 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))))) | |
| 28.7b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) | |
| ✓ | 31.4b | (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
| 15.7b | (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))))) |
Compiled 930 to 726 computations (21.9% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(*.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 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x))))) |
(fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.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 (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 (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 (-.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 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(/.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 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))) |
(fma.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.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 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))) |
(/.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 (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 (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 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))) |
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.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))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (expm1.f64 (log1p.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 (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 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))))) |
(fma.f64 1/3 (pow.f64 (E.f64) (log.f64 (pow.f64 (cbrt.f64 x) -2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 x))) 3))) |
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) 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 (-.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) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 3) 3))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)) 3))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) |
(/.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 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) |
(/.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 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))) |
(/.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) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) |
| 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:
| 51.0ms | x |
| 11.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 11.0ms | (-.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 1470 to 1024 computations (30.3% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(*.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 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x))))) |
(fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.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 |
|---|
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
3 calls:
| 80.0ms | x |
| 11.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 9.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 2 | x |
| 0.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 0.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 504 to 363 computations (28% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6830093702301383e-9 | 3.1504896469414234e-9 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(*.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 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x))))) |
(fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.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 |
|---|
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
3 calls:
| 45.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 42.0ms | x |
| 12.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 2 | x |
| 0.6b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 0.6b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 485 to 350 computations (27.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 8.39422209537588e-5 | 0.0010925736804665576 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(*.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 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x))))) |
(fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x)) |
| Outputs |
|---|
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.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) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x))))) |
3 calls:
| 86.0ms | x |
| 14.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 8.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
| 0.7b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 0.7b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 449 to 324 computations (27.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1386709208860.7458 | 62060321674733000.0 |
| 18.0ms | -5329.454564788931 | -1.3780780901103235e-17 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(*.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 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
| Outputs |
|---|
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
3 calls:
| 76.0ms | x |
| 10.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 8.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
| 0.7b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 0.7b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 398 to 289 computations (27.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 255.6737590581196 | 250234.1431075855 |
| 17.0ms | -1671114779168.299 | -5329.454564788931 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(*.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 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
| Outputs |
|---|
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
3 calls:
| 53.0ms | 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 |
|---|---|---|
| 0.7b | 3 | x |
| 0.7b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 0.7b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 382 to 276 computations (27.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 255.6737590581196 | 250234.1431075855 |
| 36.0ms | -1671114779168.299 | -5329.454564788931 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(*.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 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
| Outputs |
|---|
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
3 calls:
| 60.0ms | x |
| 7.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 7.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
| 0.7b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 0.7b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 366 to 263 computations (28.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.39422209537588e-5 | 0.0010925736804665576 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(*.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 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
| Outputs |
|---|
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
3 calls:
| 109.0ms | x |
| 9.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 8.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 7.9b | 3 | x |
| 15.2b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 15.2b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 352 to 252 computations (28.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 1386709208860.7458 | 62060321674733000.0 |
| 16.0ms | -5329.454564788931 | -1.3780780901103235e-17 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x))))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(*.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))) |
| Outputs |
|---|
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
3 calls:
| 82.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 63.0ms | x |
| 7.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 8.1b | 3 | x |
| 15.2b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 15.2b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 330 to 238 computations (27.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 40954943.76985199 | 291547413350.2737 |
| 16.0ms | -1671114779168.299 | -5329.454564788931 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (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 (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) |
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) |
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) |
(-.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)) |
| Outputs |
|---|
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
3 calls:
| 58.0ms | x |
| 49.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 7.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 8.2b | 3 | x |
| 15.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 15.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 265 to 189 computations (28.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 40954943.76985199 | 291547413350.2737 |
| 16.0ms | -1671114779168.299 | -5329.454564788931 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)) |
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x))) |
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) |
| Outputs |
|---|
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))) |
3 calls:
| 42.0ms | x |
| 6.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 6.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 8.2b | 3 | x |
| 15.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 15.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 139 to 102 computations (26.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 40954943.76985199 | 291547413350.2737 |
| 16.0ms | -1671114779168.299 | -5329.454564788931 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)) |
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) |
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3)) |
| Outputs |
|---|
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
3 calls:
| 48.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 20.0ms | x |
| 4.0ms | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 3 | x |
| 15.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
| 15.5b | 2 | (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) |
Compiled 90 to 67 computations (25.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 40954943.76985199 | 291547413350.2737 |
| 15.0ms | -1671114779168.299 | -5329.454564788931 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3)) |
| Outputs |
|---|
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
(-.f64 1 (cbrt.f64 x)) |
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) |
1 calls:
| 51.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 16.3b | 3 | x |
Compiled 41 to 30 computations (26.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.4213765771501462 | 255.6737590581196 |
| 16.0ms | -5329.454564788931 | -1.3780780901103235e-17 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
(-.f64 1 (cbrt.f64 x)) |
(-.f64 1 (pow.f64 x 1/3)) |
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1)) |
| Outputs |
|---|
(-.f64 1 (cbrt.f64 x)) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.1b | 1 | x |
Compiled 24 to 17 computations (29.2% saved)
Total -28.2b remaining (-82.8%)
Threshold costs -28.2b (-82.8%)
| Inputs |
|---|
0 |
1 |
(cbrt.f64 x) |
| Outputs |
|---|
1 |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 34.1b | 1 | x |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary64 |
| 7× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 8589935207 |
| 1 | 119 | 8589935207 |
| 2 | 126 | 8589935207 |
| 3 | 129 | 8589935207 |
| 4 | 130 | 8589935207 |
| 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 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7253554917687775/2417851639229258349412352) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) |
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.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) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x))))))) |
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)))) |
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)))) |
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 175900144101033248/4294967296) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))))) |
(if (<=.f64 x -5859797263689311/1099511627776) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 7773025877344475136/18446744073709551616) (-.f64 1 (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) 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 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7253554917687775/2417851639229258349412352) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) |
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 7253554917687775/2417851639229258349412352) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))) |
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) |
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.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) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x))))))) |
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (pow.f64 (+.f64 1 x) 2/3))) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x))))))) |
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)))) |
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)))) |
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)))) |
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)))) |
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) |
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) |
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (pow.f64 (+.f64 1 x) 2/3))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 175900144101033248/4294967296) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 5496879503157289/134217728) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 5496879503157289/134217728) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 5496879503157289/134217728) (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x)))))) |
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))))) |
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 5496879503157289/134217728) (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))))) |
(if (<=.f64 x -5859797263689311/1099511627776) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 7773025877344475136/18446744073709551616) (-.f64 1 (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))))) |
(if (<=.f64 x -5859797263689311/1099511627776) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 3795422791672107/9007199254740992) (-.f64 1 (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))))) |
(-.f64 1 (cbrt.f64 x)) |
1 |
0 |
Compiled 529 to 401 computations (24.2% saved)
| 1× | egg-herbie |
| 923× | fma-def_binary64 |
| 714× | associate-+l+_binary64 |
| 641× | associate-+r+_binary64 |
| 299× | fma-neg_binary64 |
| 273× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 1704 |
| 1 | 507 | 1565 |
| 2 | 1526 | 1301 |
| 3 | 6701 | 1005 |
| 1× | node limit |
Compiled 228 to 202 computations (11.4% saved)
Compiled 514 to 362 computations (29.6% saved)
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