Time bar (total: 4.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 25% | 75% | 0% | 3 |
| 25% | 62.5% | 12.5% | 4 |
| 25% | 56.2% | 18.8% | 5 |
| 28.1% | 50% | 21.9% | 6 |
| 29.7% | 46.9% | 23.5% | 7 |
| 30.5% | 45.3% | 24.3% | 8 |
| 30.8% | 44.9% | 24.3% | 9 |
| 31.2% | 44.5% | 24.3% | 10 |
| 31.3% | 44.4% | 24.3% | 11 |
| 31.4% | 44.3% | 24.3% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 1.6s | 2684× | body | 1024 | valid |
| 531.0ms | 1406× | body | 512 | valid |
| 319.0ms | 2850× | body | 64 | valid |
| 214.0ms | 668× | body | 256 | valid |
| 185.0ms | 292× | body | 2048 | valid |
| 69.0ms | 356× | body | 128 | valid |
| 8.0ms | 72× | body | 64 | invalid |
| 2× | egg-herbie |
| 590× | associate-/l*_binary64 |
| 542× | associate-*l*_binary64 |
| 527× | associate-*r*_binary64 |
| 477× | associate-/r*_binary64 |
| 380× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 13 |
| 1 | 25 | 13 |
| 2 | 34 | 13 |
| 3 | 59 | 13 |
| 4 | 127 | 11 |
| 5 | 349 | 8 |
| 6 | 1345 | 8 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 590× | associate-/l*_binary64 |
| 542× | associate-*l*_binary64 |
| 527× | associate-*r*_binary64 |
| 477× | associate-/r*_binary64 |
| 380× | fma-def_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 13 |
| 1 | 25 | 13 |
| 2 | 34 | 13 |
| 3 | 59 | 13 |
| 4 | 127 | 11 |
| 5 | 349 | 8 |
| 6 | 1345 | 8 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 30 to 24 computations (20% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 0.0b | (+.f64 1 (exp.f64 x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 1.0ms | x | @ | 0 | (+.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 550× | pow1_binary64 |
| 512× | add-log-exp_binary64 |
| 512× | log1p-expm1-u_binary64 |
| 512× | expm1-log1p-u_binary64 |
| 500× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 1 | 118 | 14 |
| 2 | 1423 | 14 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (exp.f64 x)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) |
| 1× | egg-herbie |
| 586× | fma-def_binary64 |
| 525× | cancel-sign-sub-inv_binary64 |
| 434× | fma-neg_binary64 |
| 426× | associate-*r*_binary64 |
| 409× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 169 |
| 1 | 109 | 137 |
| 2 | 337 | 131 |
| 3 | 1104 | 103 |
| 4 | 5336 | 103 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
| Outputs |
|---|
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 2 (fma.f64 x (*.f64 x 1/2) x)) |
(fma.f64 (fma.f64 x 1/2 1) x 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x))) |
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (fma.f64 x 1/2 1) x 2)) |
(fma.f64 (fma.f64 x 1/2 1) x (fma.f64 1/6 (pow.f64 x 3) 2)) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(fma.f64 (/.f64 1/2 (sqrt.f64 2)) x (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) |
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x 3/8))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2)))) |
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(+.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x 3/8)))) (fma.f64 (/.f64 7/192 (sqrt.f64 2)) (pow.f64 x 3) (sqrt.f64 2))) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 1 | 71 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 2 | 72 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 866 to 632 computations (27% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) |
| 0.0b | (+.f64 1 (exp.f64 x)) | |
| ✓ | 0.6b | (*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
| ✓ | 0.7b | (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | inf | (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
| 24.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
| 1.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) |
| 1× | batch-egg-rewrite |
| 785× | pow1_binary64 |
| 735× | add-log-exp_binary64 |
| 734× | log1p-expm1-u_binary64 |
| 734× | expm1-log1p-u_binary64 |
| 718× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 81 |
| 1 | 226 | 23 |
| 2 | 2600 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/8) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))))) |
| 1× | egg-herbie |
| 505× | unswap-sqr_binary64 |
| 382× | distribute-rgt-out_binary64 |
| 369× | cancel-sign-sub-inv_binary64 |
| 354× | *-commutative_binary64 |
| 328× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 462 |
| 1 | 173 | 430 |
| 2 | 532 | 418 |
| 3 | 1874 | 386 |
| 4 | 5318 | 379 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 8 1/4) |
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 8 1/4) x)) (pow.f64 8 1/4)) |
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 8 1/4) x)) (+.f64 (*.f64 21/128 (*.f64 (pow.f64 8 1/4) (pow.f64 x 2))) (pow.f64 8 1/4))) |
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 8 1/4) x)) (+.f64 (*.f64 45/1024 (*.f64 (pow.f64 8 1/4) (pow.f64 x 3))) (+.f64 (*.f64 21/128 (*.f64 (pow.f64 8 1/4) (pow.f64 x 2))) (pow.f64 8 1/4)))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
| Outputs |
|---|
(pow.f64 8 1/4) |
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 8 1/4) x)) (pow.f64 8 1/4)) |
(fma.f64 3/8 (*.f64 (pow.f64 8 1/4) x) (pow.f64 8 1/4)) |
(*.f64 (+.f64 (*.f64 3/8 x) 1) (pow.f64 8 1/4)) |
(*.f64 (pow.f64 8 1/4) (+.f64 1 (*.f64 x 3/8))) |
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 8 1/4) x)) (+.f64 (*.f64 21/128 (*.f64 (pow.f64 8 1/4) (pow.f64 x 2))) (pow.f64 8 1/4))) |
(fma.f64 3/8 (*.f64 (pow.f64 8 1/4) x) (fma.f64 21/128 (*.f64 (pow.f64 8 1/4) (*.f64 x x)) (pow.f64 8 1/4))) |
(+.f64 (pow.f64 8 1/4) (*.f64 (pow.f64 8 1/4) (+.f64 (*.f64 3/8 x) (*.f64 x (*.f64 x 21/128))))) |
(+.f64 (pow.f64 8 1/4) (*.f64 (pow.f64 8 1/4) (*.f64 x (+.f64 (*.f64 x 21/128) 3/8)))) |
(*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x 21/128) 3/8)) 1) (pow.f64 8 1/4)) |
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 8 1/4) x)) (+.f64 (*.f64 45/1024 (*.f64 (pow.f64 8 1/4) (pow.f64 x 3))) (+.f64 (*.f64 21/128 (*.f64 (pow.f64 8 1/4) (pow.f64 x 2))) (pow.f64 8 1/4)))) |
(fma.f64 3/8 (*.f64 (pow.f64 8 1/4) x) (fma.f64 45/1024 (*.f64 (pow.f64 8 1/4) (pow.f64 x 3)) (fma.f64 21/128 (*.f64 (pow.f64 8 1/4) (*.f64 x x)) (pow.f64 8 1/4)))) |
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 21/128)) 1) (pow.f64 8 1/4)) (*.f64 (pow.f64 8 1/4) (+.f64 (*.f64 3/8 x) (*.f64 45/1024 (pow.f64 x 3))))) |
(+.f64 (pow.f64 8 1/4) (*.f64 (pow.f64 8 1/4) (+.f64 (*.f64 x 3/8) (*.f64 (*.f64 x x) (+.f64 21/128 (*.f64 x 45/1024)))))) |
(*.f64 (pow.f64 8 1/4) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 45/1024) 21/128)) (+.f64 1 (*.f64 x 3/8)))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/4) |
2 |
(+.f64 2 x) |
(+.f64 x 2) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 2 (fma.f64 (*.f64 x x) 1/2 x)) |
(fma.f64 x (*.f64 x 1/2) (+.f64 x 2)) |
(+.f64 x (fma.f64 x (*.f64 x 1/2) 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x))) |
(+.f64 (fma.f64 (*.f64 x x) 1/2 x) (fma.f64 (pow.f64 x 3) 1/6 2)) |
(+.f64 2 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 x (*.f64 x 1/2) x))) |
(+.f64 x (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 x (*.f64 x 1/2) 2))) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(+.f64 1 (exp.f64 x)) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))) |
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x 3/8))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2)))) |
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (/.f64 3/8 (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (*.f64 (*.f64 x x) (+.f64 3/8 (*.f64 x 7/96)))))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 0 | 212 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 212 | 2 | 214 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 4397 to 3164 computations (28% saved)
Total -41.2b remaining (-1054765.4%)
Threshold costs -41.2b (-1054765.4%)
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 3.0ms | 0.0b | x |
| 2.0ms | 0.0b | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 4.0ms | 0.0b | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
Compiled 65 to 50 computations (23.1% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 9 | 8 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 1× | done |
Compiled 12 to 10 computations (16.7% saved)
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