Time bar (total: 4.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 28.6% | 25% | 62.5% | 0% | 0% | 0% | 12.5% | 4 |
| 30.8% | 25% | 56.2% | 0% | 0% | 0% | 18.7% | 5 |
| 36% | 28.1% | 50% | 0% | 0% | 0% | 21.9% | 6 |
| 38.8% | 29.7% | 46.9% | 0% | 0% | 0% | 23.4% | 7 |
| 40.2% | 30.5% | 45.3% | 0% | 0% | 0% | 24.2% | 8 |
| 40.7% | 30.8% | 44.9% | 0% | 0% | 0% | 24.2% | 9 |
| 41.2% | 31.2% | 44.5% | 0% | 0% | 0% | 24.2% | 10 |
| 41.4% | 31.3% | 44.4% | 0% | 0% | 0% | 24.2% | 11 |
| 41.5% | 31.4% | 44.3% | 0% | 0% | 0% | 24.3% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 1.1s | 2672× | body | 1024 | valid |
| 450.0ms | 3878× | body | 256 | valid |
| 315.0ms | 1384× | body | 512 | valid |
| 227.0ms | 322× | body | 2048 | valid |
| 6.0ms | 52× | body | 256 | infinite |
| 0.0ms | 4× | body | 256 | unsamplable |
| 2× | egg-herbie |
| 633× | associate-/l*_binary64 |
| 580× | associate-*l*_binary64 |
| 568× | associate-*r*_binary64 |
| 505× | 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 | 1341 | 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 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 633× | associate-/l*_binary64 |
| 580× | associate-*l*_binary64 |
| 568× | associate-*r*_binary64 |
| 505× | 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 | 1341 | 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))) |
Compiled 18 to 14 computations (22.2% saved)
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 6 to 5 computations (16.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 x)) |
Compiled 14 to 8 computations (42.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | inf | (+.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | -inf | (+.f64 1 (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 475× | pow1_binary64 |
| 463× | add-sqr-sqrt_binary64 |
| 455× | *-un-lft-identity_binary64 |
| 442× | add-log-exp_binary64 |
| 442× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 98 | 6 |
| 2 | 1206 | 6 |
| 1× | node limit |
| Inputs |
|---|
(+.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 (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 (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 (sqrt.f64 (+.f64 1 (exp.f64 x))) (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 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 (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 pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (#(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 log1p.f64 (expm1.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))))) |
| 1× | egg-herbie |
| 622× | distribute-rgt-in_binary64 |
| 572× | distribute-lft-in_binary64 |
| 536× | unswap-sqr_binary64 |
| 458× | associate-*l*_binary64 |
| 405× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 34 |
| 1 | 38 | 34 |
| 2 | 90 | 34 |
| 3 | 245 | 30 |
| 4 | 636 | 29 |
| 5 | 2203 | 29 |
| 6 | 3847 | 29 |
| 7 | 4091 | 29 |
| 8 | 4395 | 29 |
| 9 | 4962 | 29 |
| 10 | 5965 | 29 |
| 11 | 7898 | 29 |
| 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))) |
| 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)) |
(fma.f64 (fma.f64 x 1/2 1) x 2) |
(fma.f64 x (fma.f64 x 1/2 1) 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 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2)) |
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (fma.f64 x 1/2 1) x 2)) |
(+.f64 2 (fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) x)) |
(fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) (+.f64 2 x)) |
(+.f64 2 (fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) x)) |
Compiled 380 to 261 computations (31.3% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 2 | 36 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 34 | 3 | 37 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ▶ | 20.8b | (sqrt.f64 (+.f64 2 x)) |
| ▶ | 17.3b | (sqrt.f64 2) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 4 to 4 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 2 x)) |
Compiled 10 to 7 computations (30% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (+.f64 2 x)) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (+.f64 2 x)) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (+.f64 2 x)) |
| 1× | batch-egg-rewrite |
| 554× | pow1_binary64 |
| 522× | add-log-exp_binary64 |
| 521× | log1p-expm1-u_binary64 |
| 521× | expm1-log1p-u_binary64 |
| 512× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 111 | 6 |
| 2 | 1381 | 6 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))))) |
| 1× | egg-herbie |
| 1230× | associate-/l/_binary64 |
| 989× | fma-def_binary64 |
| 558× | unswap-sqr_binary64 |
| 360× | times-frac_binary64 |
| 349× | sqr-pow_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 90 |
| 1 | 67 | 82 |
| 2 | 188 | 78 |
| 3 | 578 | 70 |
| 4 | 2939 | 66 |
| 5 | 4279 | 66 |
| 6 | 5352 | 66 |
| 7 | 6287 | 66 |
| 8 | 6557 | 66 |
| 9 | 6855 | 66 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
| Outputs |
|---|
(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 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2))) |
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16)))) |
(fma.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))))) |
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16))))) |
(fma.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2))) |
Compiled 285 to 242 computations (15.1% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 1 | 29 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 28 | 4 | 32 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ▶ | 21.4b | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| ✓ | 20.8b | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 17.3b | (sqrt.f64 2) |
Compiled 23 to 20 computations (13% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 2 x)) | |
| ✓ | 0.0b | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| ✓ | 0.7b | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
Compiled 25 to 20 computations (20% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| 0.0ms | x | @ | -inf | (+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| 1× | batch-egg-rewrite |
| 915× | pow1_binary64 |
| 862× | add-log-exp_binary64 |
| 861× | log1p-expm1-u_binary64 |
| 861× | expm1-log1p-u_binary64 |
| 95× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 186 | 15 |
| 2 | 2610 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1))))) |
| 1× | egg-herbie |
| 1221× | associate-/l/_binary64 |
| 942× | associate-/r/_binary64 |
| 558× | unswap-sqr_binary64 |
| 548× | fma-def_binary64 |
| 360× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 192 |
| 1 | 90 | 176 |
| 2 | 251 | 168 |
| 3 | 744 | 152 |
| 4 | 3437 | 152 |
| 5 | 4069 | 152 |
| 6 | 5142 | 152 |
| 7 | 5401 | 152 |
| 8 | 5644 | 152 |
| 9 | 5945 | 152 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) 1) |
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) |
| Outputs |
|---|
(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 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)) (sqrt.f64 2))) |
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16)))) |
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 -1/16 x)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))))) |
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)) (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 -1/16 x))))) |
(+.f64 (sqrt.f64 2) 1) |
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) 1)) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) 1)) |
(+.f64 (sqrt.f64 2) (fma.f64 (/.f64 1/2 (sqrt.f64 2)) x 1)) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) 1)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) 1))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)) 1))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16))) 1)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 -1/16 x))) 1)) |
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) |
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) 1)) |
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) 1)) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)) 1)))) |
(+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16))) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) 1))) |
(+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 -1/16 x))) (+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) 1))) |
Compiled 1733 to 1526 computations (11.9% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 2 | 123 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 121 | 6 | 127 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ▶ | 17.9b | (-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
| ✓ | 21.4b | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| ✓ | 20.8b | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 17.3b | (sqrt.f64 2) |
| ▶ | 22.1b | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
Compiled 43 to 38 computations (11.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
Compiled 15 to 15 computations (0% saved)
| 1× | batch-egg-rewrite |
| 543× | pow1_binary64 |
| 516× | add-log-exp_binary64 |
| 515× | log1p-expm1-u_binary64 |
| 515× | expm1-log1p-u_binary64 |
| 507× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 138 | 3 |
| 2 | 1749 | 3 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (-.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 2 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -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 |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
| 0.0b | (sqrt.f64 (+.f64 2 x)) | |
| ✓ | 0.7b | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| ✓ | 1.1b | (-.f64 1 (sqrt.f64 (+.f64 2 x))) |
Compiled 43 to 34 computations (20.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
| 5.0ms | x | @ | -inf | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| 4.0ms | x | @ | inf | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| 3.0ms | x | @ | 0 | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
| 2.0ms | x | @ | inf | (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
| 1× | batch-egg-rewrite |
| 848× | prod-diff_binary64 |
| 514× | log-prod_binary64 |
| 326× | fma-def_binary64 |
| 283× | fma-neg_binary64 |
| 207× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 258 | 24 |
| 2 | 3764 | 24 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (sqrt.f64 (+.f64 2 x))) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x)))) (neg.f64 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 1 (-.f64 -1 x)) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 2 x)) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 x) 1/4) (neg.f64 (pow.f64 (+.f64 2 x) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x))) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x))) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x))) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (-.f64 -1 x))) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (sqrt.f64 (-.f64 -1 x))) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (*.f64 x x))) (+.f64 x -1) (neg.f64 (/.f64 (+.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))))) |
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))))) |
| 1× | egg-herbie |
| 705× | fma-neg_binary64 |
| 596× | cancel-sign-sub-inv_binary64 |
| 416× | distribute-rgt-in_binary64 |
| 392× | distribute-lft-in_binary64 |
| 323× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 999 |
| 1 | 229 | 972 |
| 2 | 806 | 874 |
| 3 | 3751 | 841 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (sqrt.f64 2)) |
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2)) |
(*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3)))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 2))) |
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
| Outputs |
|---|
(-.f64 1 (sqrt.f64 2)) |
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(+.f64 1 (-.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))) |
(-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) 1) (sqrt.f64 2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2)) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)))) (sqrt.f64 2))) |
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) 1) (-.f64 (*.f64 1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))) (sqrt.f64 2))) |
(-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) 1)) (sqrt.f64 2)) |
(+.f64 (-.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 -1/2 (/.f64 (*.f64 x 1/8) 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2)) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2))) |
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) 1) (-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) (sqrt.f64 2))) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (/.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 3))))) (sqrt.f64 2))) |
(+.f64 1 (-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 -1/2 (/.f64 (*.f64 x 1/8) 2)))) (sqrt.f64 2))) |
(*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) |
(neg.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))) |
(+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1))) |
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (neg.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) |
(-.f64 (+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))) |
(+.f64 -1 (fma.f64 x (+.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) |
(-.f64 -1 (+.f64 (*.f64 x (/.f64 1/2 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 2 (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))) |
(+.f64 -1 (fma.f64 x (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (fma.f64 x (+.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 -1 (-.f64 1 (sqrt.f64 2)))))) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 1/16 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2))))) (-.f64 -1 (+.f64 (*.f64 x (/.f64 1/2 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 (sqrt.f64 2))))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3)))))) |
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 x x) (neg.f64 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (-.f64 1 (sqrt.f64 2)) (pow.f64 (sqrt.f64 2) 3))))))))))) |
(-.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 2 (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (-.f64 1 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))) (*.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 2 (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))))))) (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))) |
(+.f64 (+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) (fma.f64 x (+.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (*.f64 x (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)) (/.f64 1/8 (-.f64 1 (sqrt.f64 2)))) (+.f64 (*.f64 2 (sqrt.f64 2)) -4))))))))) |
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 1/16 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (*.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 2) -2)) 1) (/.f64 1/8 (-.f64 1 (sqrt.f64 2)))) (+.f64 (*.f64 2 (sqrt.f64 2)) -4))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 1/16 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2))))) (-.f64 -1 (+.f64 (*.f64 x (/.f64 1/2 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 (sqrt.f64 2))))))) |
(/.f64 -1 (-.f64 1 (sqrt.f64 2))) |
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(fma.f64 (neg.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) |
(fma.f64 x (+.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) |
(+.f64 (*.f64 x (/.f64 -1/2 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (neg.f64 (*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(fma.f64 (neg.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x (fma.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 2 (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (fma.f64 x (+.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 1/16 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/2 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2))))) (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(-.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 x x) (neg.f64 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (-.f64 1 (sqrt.f64 2)) (pow.f64 (sqrt.f64 2) 3)))))))))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) |
(+.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 2 (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (-.f64 1 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))) (*.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 2 (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))))))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) |
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (*.f64 x (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)) (/.f64 1/8 (-.f64 1 (sqrt.f64 2)))) (+.f64 (*.f64 2 (sqrt.f64 2)) -4))))))) (fma.f64 x (+.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 1/16 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/2 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2))))) (fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (-.f64 1 (sqrt.f64 2))) (/.f64 -1/4 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 1/16 (*.f64 (-.f64 1 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) -2)))) (+.f64 (sqrt.f64 2) -2)) (/.f64 (*.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 2) -2)) 1) (/.f64 1/8 (-.f64 1 (sqrt.f64 2)))) (+.f64 (*.f64 2 (sqrt.f64 2)) -4))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 -1 (-.f64 1 (sqrt.f64 2))))) |
Compiled 11347 to 9661 computations (14.9% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 354 | 3 | 357 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 354 | 9 | 363 |
| Status | Error | Program |
|---|---|---|
| 21.4b | (-.f64 (/.f64 (-.f64 -1 x) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))) 1) | |
| ✓ | 17.9b | (-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
| ✓ | 20.8b | (sqrt.f64 (+.f64 2 x)) |
| 22.6b | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 2))) 1) | |
| 18.5b | (-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1) | |
| ✓ | 0.0b | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 21.4b | (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
| ✓ | 17.3b | (sqrt.f64 2) |
| ✓ | 22.1b | (-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
Compiled 82 to 73 computations (11% saved)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 2))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))) 1) |
(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))) |
5 calls:
| 32.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 6.0ms | x |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 3.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
| 2.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 0.0b | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
| 0.0b | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
Compiled 138 to 117 computations (15.2% saved)
Total -5.5b remaining (-32.1%)
Threshold costs -5.5b (-32.1%)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(-.f64 (+.f64 (sqrt.f64 2) 1) 1) |
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 2))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) |
(-.f64 (/.f64 (-.f64 -1 x) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))) 1) |
| Outputs |
|---|
(sqrt.f64 2) |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.3b | 1 | x |
Compiled 71 to 62 computations (12.7% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 11 | 11 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 2) |
| Outputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 2) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
| 633× | associate-/l*_binary64 |
| 580× | associate-*l*_binary64 |
| 568× | associate-*r*_binary64 |
| 505× | 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 | 1341 | 8 |
| 1× | node limit |
Compiled 92 to 70 computations (23.9% saved)
Compiled 8 to 7 computations (12.5% saved)
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