Time bar (total: 4.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.7% | 74.3% | 0% | 0% | 0% | 0 |
| 100% | 25.7% | 0% | 74.3% | 0% | 0% | 0% | 1 |
Compiled 26 to 19 computations (26.9% saved)
| 2.2s | 6176× | body | 256 | valid |
| 744.0ms | 1003× | body | 1024 | valid |
| 420.0ms | 1050× | body | 512 | valid |
| 43.0ms | 27× | body | 2048 | valid |
| 2× | egg-herbie |
| 498× | associate-*l*_binary64 |
| 451× | distribute-rgt-neg-in_binary64 |
| 426× | distribute-lft-neg-in_binary64 |
| 409× | associate-*r*_binary64 |
| 366× | distribute-rgt-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 32 | 26 |
| 2 | 76 | 26 |
| 3 | 270 | 26 |
| 4 | 1173 | 20 |
| 5 | 4509 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) |
(*.f64 eps (+.f64 eps (+.f64 x x))) |
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2)) |
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps)) |
(*.f64 x (+.f64 x (+.f64 eps eps))) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 563× | distribute-rgt-in_binary64 |
| 513× | cancel-sign-sub-inv_binary64 |
| 510× | fma-neg_binary64 |
| 463× | distribute-lft-in_binary64 |
| 412× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 19 | 13 |
| 2 | 49 | 13 |
| 3 | 161 | 13 |
| 4 | 636 | 8 |
| 5 | 2828 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) |
(fma.f64 x (neg.f64 x) (pow.f64 (+.f64 x eps) 2)) |
(*.f64 eps (fma.f64 2 x eps)) |
Compiled 17 to 11 computations (35.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 eps (fma.f64 2 x eps)) |
| ▶ | 16.7b | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
Compiled 19 to 13 computations (31.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 eps (fma.f64 2 x eps)) |
Compiled 15 to 8 computations (46.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (*.f64 eps (fma.f64 2 x eps)) |
| 1.0ms | eps | @ | -inf | (*.f64 eps (fma.f64 2 x eps)) |
| 1.0ms | eps | @ | inf | (*.f64 eps (fma.f64 2 x eps)) |
| 1.0ms | x | @ | 0 | (*.f64 eps (fma.f64 2 x eps)) |
| 1.0ms | x | @ | inf | (*.f64 eps (fma.f64 2 x eps)) |
| 1× | batch-egg-rewrite |
| 552× | pow1_binary64 |
| 531× | add-sqr-sqrt_binary64 |
| 507× | add-log-exp_binary64 |
| 507× | log1p-expm1-u_binary64 |
| 507× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 120 | 8 |
| 2 | 1364 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (fma.f64 2 x eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))))))) |
| 1× | egg-herbie |
| 778× | sqr-pow_binary64 |
| 582× | fma-def_binary64 |
| 555× | cube-prod_binary64 |
| 536× | fabs-mul_binary64 |
| 471× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 267 |
| 1 | 18 | 231 |
| 2 | 37 | 213 |
| 3 | 75 | 177 |
| 4 | 166 | 177 |
| 5 | 467 | 177 |
| 6 | 1590 | 177 |
| 7 | 2841 | 177 |
| 8 | 3196 | 177 |
| 9 | 3418 | 177 |
| 10 | 3640 | 177 |
| 11 | 3957 | 177 |
| 12 | 4377 | 177 |
| 13 | 4892 | 177 |
| 14 | 5466 | 177 |
| 15 | 6166 | 177 |
| 16 | 7020 | 177 |
| 17 | 7411 | 177 |
| 18 | 7705 | 177 |
| 19 | 7979 | 177 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
| Outputs |
|---|
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (+.f64 (*.f64 2 x) eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 x eps) 2) |
| ✓ | 2.1b | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
Compiled 25 to 13 computations (48% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| 1.0ms | x | @ | 0 | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| 1.0ms | eps | @ | 0 | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| 0.0ms | eps | @ | -inf | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| 1× | batch-egg-rewrite |
| 963× | pow1_binary64 |
| 899× | add-log-exp_binary64 |
| 898× | log1p-expm1-u_binary64 |
| 898× | expm1-log1p-u_binary64 |
| 95× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 186 | 20 |
| 2 | 2533 | 20 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
(pow.f64 (+.f64 x eps) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) (pow.f64 (+.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (+.f64 x eps) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x eps) x) (-.f64 (+.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (+.f64 x eps) x) 2))) (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (+.f64 x eps) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (+.f64 x eps) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 x eps) 4) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (*.f64 x (neg.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x eps) x) (*.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x eps)) (*.f64 eps (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 x eps)) (*.f64 x (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x eps) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (pow.f64 (+.f64 x eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (*.f64 (cbrt.f64 (+.f64 x eps)) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x eps)) (*.f64 (sqrt.f64 (+.f64 x eps)) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (*.f64 (-.f64 x eps) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (-.f64 (*.f64 x x) (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 x eps)) (fma.f64 x x (*.f64 eps (-.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x eps) (-.f64 (*.f64 x x) (*.f64 eps eps))) (-.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 x eps)))))))) |
| 1× | egg-herbie |
| 947× | sqr-pow_binary64 |
| 620× | fma-def_binary64 |
| 551× | fabs-mul_binary64 |
| 539× | cube-prod_binary64 |
| 380× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 567 |
| 1 | 28 | 486 |
| 2 | 65 | 435 |
| 3 | 158 | 393 |
| 4 | 425 | 393 |
| 5 | 1568 | 393 |
| 6 | 2850 | 393 |
| 7 | 3122 | 393 |
| 8 | 3308 | 393 |
| 9 | 3552 | 393 |
| 10 | 3853 | 393 |
| 11 | 4244 | 393 |
| 12 | 4751 | 393 |
| 13 | 5331 | 393 |
| 14 | 6077 | 393 |
| 15 | 6625 | 393 |
| 16 | 6955 | 393 |
| 17 | 7285 | 393 |
| 18 | 7373 | 393 |
| 19 | 7401 | 393 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
| Outputs |
|---|
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(*.f64 (*.f64 2 x) eps) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(*.f64 (*.f64 2 x) eps) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(*.f64 (*.f64 2 x) eps) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)) |
(fma.f64 2 (*.f64 eps x) (*.f64 x x)) |
(*.f64 x (+.f64 (*.f64 eps 2) x)) |
(*.f64 x (fma.f64 eps 2 x)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)) |
(fma.f64 2 (*.f64 eps x) (*.f64 x x)) |
(*.f64 x (+.f64 (*.f64 eps 2) x)) |
(*.f64 x (fma.f64 eps 2 x)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)) |
(fma.f64 2 (*.f64 eps x) (*.f64 x x)) |
(*.f64 x (+.f64 (*.f64 eps 2) x)) |
(*.f64 x (fma.f64 eps 2 x)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x))) |
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps)) |
(*.f64 eps (+.f64 eps (*.f64 2 x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))) |
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x))) |
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x))) |
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x))) |
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x)) |
Compiled 1363 to 639 computations (53.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 92 | 3 | 95 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 94 | 3 | 97 |
| Status | Error | Program |
|---|---|---|
| ▶ | 22.6b | (*.f64 eps (*.f64 2 x)) |
| ▶ | 0b | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| ▶ | 17.0b | (*.f64 eps eps) |
Compiled 23 to 15 computations (34.8% saved)
Compiled 6 to 3 computations (50% saved)
Compiled 13 to 8 computations (38.5% saved)
Compiled 25 to 13 computations (48% saved)
Compiled 2 to 2 computations (0% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 22.6b | (*.f64 eps (*.f64 2 x)) |
| ✓ | 0b | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| ✓ | 17.0b | (*.f64 eps eps) |
Compiled 23 to 15 computations (34.8% saved)
| Inputs |
|---|
(*.f64 eps eps) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
3 calls:
| 5.0ms | x |
| 4.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | eps |
| 0b | 1 | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
Compiled 51 to 31 computations (39.2% saved)
Total -34.6b remaining (-745.2%)
Threshold costs -34.6b (-745.2%)
| Inputs |
|---|
(*.f64 eps eps) |
(*.f64 eps (*.f64 2 x)) |
| Outputs |
|---|
(*.f64 eps (*.f64 2 x)) |
(*.f64 eps eps) |
(*.f64 eps (*.f64 2 x)) |
2 calls:
| 12.0ms | x |
| 11.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 4.6b | 3 | x |
| 6.4b | 3 | eps |
Compiled 16 to 10 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.8742865165642487e-123 | 3.494415202401914e-119 |
| 60.0ms | -8.413253253555421e-74 | -7.713978516759091e-76 |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 47 |
| 1 | 19 | 47 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
(if (<=.f64 x -5355656111095487/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 5579997268639807/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (*.f64 eps eps) (*.f64 eps (*.f64 2 x)))) |
(*.f64 eps eps) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 2 x) eps)) |
(if (<=.f64 x -5355656111095487/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 5579997268639807/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (*.f64 eps eps) (*.f64 eps (*.f64 2 x)))) |
(if (<=.f64 x -5355656111095487/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (*.f64 (*.f64 2 x) eps) (if (<=.f64 x 5579997268639807/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (*.f64 eps eps) (*.f64 (*.f64 2 x) eps))) |
(*.f64 eps eps) |
Compiled 39 to 25 computations (35.9% saved)
| 1× | egg-herbie |
| 563× | distribute-rgt-in_binary64 |
| 513× | cancel-sign-sub-inv_binary64 |
| 510× | fma-neg_binary64 |
| 463× | distribute-lft-in_binary64 |
| 412× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 19 | 13 |
| 2 | 49 | 13 |
| 3 | 161 | 13 |
| 4 | 636 | 8 |
| 5 | 2828 | 8 |
| 1× | node limit |
Compiled 212 to 127 computations (40.1% saved)
Compiled 35 to 19 computations (45.7% saved)
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