Time bar (total: 4.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 99.9% | 0% | 0.1% | 1 |
Compiled 22 to 12 computations (45.5% saved)
| 1.3s | 8256× | body | 128 | valid |
Compiled 65 to 35 computations (46.2% saved)
| 1× | egg-herbie |
| 613× | sub-neg_binary64 |
| 578× | fma-neg_binary64 |
| 529× | neg-mul-1_binary64 |
| 501× | neg-sub0_binary64 |
| 455× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 26 | 23 |
| 2 | 60 | 23 |
| 3 | 130 | 16 |
| 4 | 335 | 16 |
| 5 | 881 | 16 |
| 6 | 1496 | 16 |
| 7 | 3511 | 16 |
| 8 | 4061 | 16 |
| 9 | 3977 | 16 |
| 10 | 4614 | 16 |
| 11 | 4771 | 16 |
| 12 | 4918 | 16 |
| 13 | 4914 | 16 |
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 |
| ▶ | 6.7b | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 11.1b | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 100 to 54 computations (46% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 2.9b | (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))) |
| ✓ | 3.9b | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
2 calls:
| 29.0ms | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 15.0ms | (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))) |
| 1× | rewrite-expression-head |
| 6× | add-sqr-sqrt_binary64 |
| 4× | *-un-lft-identity_binary64 |
| 4× | add-cube-cbrt_binary64 |
| 4× | add-cbrt-cube_binary64 |
| 4× | add-exp-log_binary64 |
2 calls:
| 11.0ms | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 1.0ms | (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))) |
| 1× | egg-herbie |
| 435× | exp-prod_binary64 |
| 356× | unswap-sqr_binary64 |
| 355× | fma-def_binary64 |
| 319× | *-commutative_binary64 |
| 271× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 1276 |
| 1 | 116 | 1183 |
| 2 | 336 | 1183 |
| 3 | 1136 | 1183 |
| 4 | 2105 | 1183 |
| 5 | 4465 | 1183 |
| 6 | 4949 | 1183 |
| 7 | 4916 | 1183 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 4 | 66 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 62 | 6 | 68 |
| Status | Error | Program |
| 31.7b | (*.f64 (*.f64 x.im (sqrt.f64 (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (sqrt.f64 (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) | |
| 27.8b | (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) | |
| ✓ | 6.7b | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 13.1b | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) | |
| 11.1b | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| ▶ | 7.1b | (*.f64 (*.f64 (cbrt.f64 x.im) (cbrt.f64 x.im)) (*.f64 (cbrt.f64 x.im) (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) |
Compiled 1290 to 621 computations (51.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (cbrt.f64 x.im) |
| ✓ | 1.5b | (*.f64 (*.f64 (cbrt.f64 x.im) (cbrt.f64 x.im)) (*.f64 (cbrt.f64 x.im) (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) |
| ✓ | 2.5b | (*.f64 (cbrt.f64 x.im) (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 2.9b | (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))) |
3 calls:
| 131.0ms | (*.f64 (cbrt.f64 x.im) (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 55.0ms | (cbrt.f64 x.im) |
| 37.0ms | (*.f64 (*.f64 (cbrt.f64 x.im) (cbrt.f64 x.im)) (*.f64 (cbrt.f64 x.im) (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) |
| 1× | rewrite-expression-head |
| 17× | add-exp-log_binary64 |
| 17× | pow1_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 10× | add-cbrt-cube_binary64 |
| 9× | cbrt-unprod_binary64 |
3 calls:
| 8.0ms | (*.f64 (*.f64 (cbrt.f64 x.im) (cbrt.f64 x.im)) (*.f64 (cbrt.f64 x.im) (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) |
| 4.0ms | (*.f64 (cbrt.f64 x.im) (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 1.0ms | (cbrt.f64 x.im) |
| 1× | egg-herbie |
| 616× | exp-prod_binary64 |
| 602× | fma-def_binary64 |
| 532× | unswap-sqr_binary64 |
| 369× | *-commutative_binary64 |
| 230× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 2240 |
| 1 | 270 | 1985 |
| 2 | 944 | 1959 |
| 3 | 2325 | 1959 |
| 4 | 4813 | 1959 |
| 5 | 5360 | 1959 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 173 | 0 | 173 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 173 | 6 | 179 |
| Status | Error | Program |
| 31.7b | (*.f64 (*.f64 x.im (sqrt.f64 (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (sqrt.f64 (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) | |
| 27.8b | (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) | |
| ✓ | 6.7b | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| 13.1b | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) | |
| ▶ | 11.1b | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | 7.1b | (*.f64 (*.f64 (cbrt.f64 x.im) (cbrt.f64 x.im)) (*.f64 (cbrt.f64 x.im) (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) |
Compiled 4174 to 1531 computations (63.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| ✓ | 3.2b | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| ✓ | 3.9b | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| ✓ | 4.2b | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
4 calls:
| 28.0ms | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| 27.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 24.0ms | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| 15.0ms | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 1× | rewrite-expression-head |
| 12× | associate-*l/_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 8× | *-un-lft-identity_binary64 |
| 8× | add-cube-cbrt_binary64 |
| 8× | add-cbrt-cube_binary64 |
4 calls:
| 13.0ms | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| 12.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 9.0ms | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| 7.0ms | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 1× | egg-herbie |
| 477× | fma-neg_binary64 |
| 405× | cancel-sign-sub-inv_binary64 |
| 345× | unswap-sqr_binary64 |
| 229× | associate-*l*_binary64 |
| 193× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 3209 |
| 1 | 432 | 2746 |
| 2 | 1684 | 2496 |
| 3 | 3172 | 2485 |
| 4 | 4867 | 2485 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 141 | 2 | 143 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 144 | 5 | 149 |
| Status | Error | Program |
| 31.7b | (*.f64 (*.f64 x.im (sqrt.f64 (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) (sqrt.f64 (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))) | |
| ✓ | 6.7b | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
| ▶ | 4.7b | (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 11.1b | (fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 13.1b | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) |
Compiled 4216 to 871 computations (79.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | 0.1b | (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) |
| 0.2b | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| ✓ | 4.2b | (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
3 calls:
| 27.0ms | (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 15.0ms | (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) |
| 8.0ms | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| 1× | rewrite-expression-head |
| 40× | associate-*l/_binary64 |
| 19× | flip-+_binary64 |
| 19× | flip3-+_binary64 |
| 16× | frac-add_binary64 |
| 12× | frac-times_binary64 |
3 calls:
| 12.0ms | (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) |
| 11.0ms | (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 6.0ms | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| 1× | egg-herbie |
| 546× | associate-*l*_binary64 |
| 493× | associate-*r*_binary64 |
| 420× | fma-neg_binary64 |
| 329× | distribute-rgt-out_binary64 |
| 304× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 4479 |
| 1 | 693 | 3630 |
| 2 | 3225 | 2562 |
| 3 | 4287 | 2562 |
| 4 | 4969 | 2562 |
| 5 | 4762 | 2562 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 4 | 166 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 164 | 7 | 171 |
| Status | Error | Program |
| 29.4b | (*.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))) (sqrt.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)))) | |
| 4.6b | (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 4.9b | (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x.im x.re))) (cbrt.f64 (*.f64 2 (*.f64 x.im x.re)))) (cbrt.f64 (*.f64 2 (*.f64 x.im x.re)))) x.re)) | |
| 4.9b | (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x.re x.im)) (cbrt.f64 (+.f64 x.re x.im))) (*.f64 (cbrt.f64 (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 11.1b | (fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 13.1b | (-.f64 (*.f64 3 (*.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3)) | |
| ✓ | 6.7b | (*.f64 x.im (fma.f64 x.re (*.f64 x.re 3) (neg.f64 (*.f64 x.im x.im)))) |
Compiled 5855 to 1258 computations (78.5% saved)
Total 2.2b remaining (99.4%)
Threshold costs 0b (0%)
Compiled 3981 to 2103 computations (47.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 5 | 6.030015917516793e+150 | 1.2839763804528959e+151 | 1.2725287036008839e+151 |
| 7 | -2.615278891903897e+144 | -4.664326686153622e+142 | -2.580140784623766e+144 |
Compiled 3 to 2 computations (33.3% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 56 |
| 1 | 38 | 56 |
| 2 | 46 | 56 |
| 3 | 50 | 56 |
| 4 | 52 | 56 |
| 5 | 52 | 56 |
Compiled 255 to 129 computations (49.4% saved)
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