Time bar (total: 5.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 50% | 50% | 0 |
| 0% | 50% | 50% | 1 |
| 25% | 25% | 50% | 2 |
| 25% | 25% | 50% | 3 |
| 31.2% | 18.7% | 50% | 4 |
| 31.2% | 18.7% | 50% | 5 |
| 34.3% | 15.6% | 50% | 6 |
| 34.3% | 15.6% | 50% | 7 |
| 35.9% | 14% | 50% | 8 |
| 35.9% | 14% | 50% | 9 |
| 36.7% | 13.3% | 50% | 10 |
| 36.7% | 13.3% | 50% | 11 |
| 37.1% | 12.9% | 50% | 12 |
| 37.1% | 12.9% | 50% | 13 |
| 37.3% | 12.7% | 50% | 14 |
Compiled 20 to 14 computations (30% saved)
| 1× | intervals |
| 13.0ms | 191× | body | 128 | valid |
| 8.0ms | 22× | body | 4096 | valid |
| 6.0ms | 21× | body | 2048 | valid |
| 4.0ms | 256× | pre | 128 | true |
| 3.0ms | 14× | body | 1024 | valid |
| 1.0ms | 7× | body | 512 | valid |
| 0.0ms | 1× | body | 256 | valid |
Compiled 39 to 28 computations (28.2% saved)
| 1× | egg-herbie |
| 203× | fma-def_binary64 |
| 142× | fma-neg_binary64 |
| 51× | distribute-rgt-in_binary64 |
| 42× | cancel-sign-sub-inv_binary64 |
| 28× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 15 |
| 1 | 20 | 15 |
| 2 | 33 | 15 |
| 3 | 50 | 15 |
| 4 | 69 | 15 |
| 5 | 98 | 15 |
| 6 | 151 | 15 |
| 7 | 211 | 15 |
| 8 | 263 | 15 |
| 9 | 305 | 15 |
| 10 | 343 | 15 |
| 11 | 379 | 15 |
| 12 | 396 | 15 |
| 13 | 415 | 15 |
| 14 | 428 | 15 |
| 15 | 465 | 15 |
| 16 | 477 | 15 |
| 17 | 486 | 15 |
| 18 | 449 | 15 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
| Status | Error | Program |
| ▶ | 14.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) |
Compiled 36 to 27 computations (25% saved)
Found 3 expressions with local error:
| 0.0b | (hypot.f64 re im) |
| 0.0b | (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re))) |
| 0.4b | (-.f64 (hypot.f64 re im) re) |
| 1× | rewrite-expression-head |
| 26× | add-cube-cbrt_binary64 |
| 16× | add-sqr-sqrt_binary64 |
| 13× | pow1_binary64 |
| 10× | flip3--_binary64 |
| 10× | add-log-exp_binary64 |
3 calls:
| 14.0ms | (-.f64 (hypot.f64 re im) re) |
| 12.0ms | (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re))) |
| 10.0ms | (hypot.f64 re im) |
Compiled 1977 to 797 computations (59.7% saved)
3 calls:
| 28.0ms | (hypot.f64 re im) |
| 21.0ms | (-.f64 (hypot.f64 re im) re) |
| 17.0ms | (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re))) |
Compiled 1461 to 1193 computations (18.3% saved)
| 1× | egg-herbie |
| 777× | associate-*l*_binary64 |
| 484× | fma-def_binary64 |
| 421× | times-frac_binary64 |
| 280× | associate-/l*_binary64 |
| 253× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 1836 |
| 1 | 433 | 1807 |
| 2 | 1323 | 1737 |
| 3 | 4910 | 1737 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 61 | 5 | 66 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 61 | 6 | 67 |
| Status | Error | Program |
| 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re)))) | |
| ▶ | 14.6b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))))) |
| 46.5b | (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 im (sqrt.f64 2))) (sqrt.f64 (/.f64 1 re)))) | |
| ✓ | 14.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) |
| 56.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) -1/8 (*.f64 1/2 (/.f64 (*.f64 im im) re)))))) | |
| 53.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 (*.f64 im im) re))))) |
Compiled 1136 to 662 computations (41.7% saved)
Found 4 expressions with local error:
| 0.0b | (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re))))) |
| 0.3b | (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re))) |
| 0.4b | (-.f64 (hypot.f64 re im) re) |
| 0.4b | (-.f64 (hypot.f64 re im) re) |
| 1× | rewrite-expression-head |
| 44× | add-cube-cbrt_binary64 |
| 36× | flip3--_binary64 |
| 31× | sqrt-div_binary64 |
| 31× | add-sqr-sqrt_binary64 |
| 20× | pow1/2_binary64 |
4 calls:
| 18.0ms | (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re))) |
| 18.0ms | (-.f64 (hypot.f64 re im) re) |
| 15.0ms | (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re))))) |
| 15.0ms | (-.f64 (hypot.f64 re im) re) |
Compiled 5183 to 1479 computations (71.5% saved)
4 calls:
| 22.0ms | (-.f64 (hypot.f64 re im) re) |
| 21.0ms | (-.f64 (hypot.f64 re im) re) |
| 21.0ms | (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re))))) |
| 21.0ms | (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re))) |
Compiled 2251 to 1708 computations (24.1% saved)
| 1× | egg-herbie |
| 465× | fma-def_binary64 |
| 420× | times-frac_binary64 |
| 383× | fma-neg_binary64 |
| 311× | associate-/l*_binary64 |
| 248× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 3111 |
| 1 | 457 | 3022 |
| 2 | 1491 | 2887 |
| 3 | 4466 | 2874 |
| 4 | 4920 | 2874 |
| 5 | 4911 | 2874 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 0 | 138 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 138 | 6 | 144 |
| Status | Error | Program |
| ▶ | 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re)))) |
| ✓ | 14.6b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))))) |
| 46.5b | (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 im (sqrt.f64 2))) (sqrt.f64 (/.f64 1 re)))) | |
| ✓ | 14.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) |
| 56.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) -1/8 (*.f64 1/2 (/.f64 (*.f64 im im) re)))))) | |
| 53.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 (*.f64 im im) re))))) |
Compiled 2636 to 1267 computations (51.9% saved)
Found 4 expressions with local error:
| 0.0b | (hypot.f64 re im) |
| 0.0b | (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re))) |
| 0.5b | (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
| 7.7b | (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re) |
| 1× | rewrite-expression-head |
| 28× | add-sqr-sqrt_binary64 |
| 27× | add-cube-cbrt_binary64 |
| 21× | pow1/2_binary64 |
| 15× | pow1_binary64 |
| 14× | add-cbrt-cube_binary64 |
4 calls:
| 17.0ms | (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re) |
| 15.0ms | (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re))) |
| 14.0ms | (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
| 11.0ms | (hypot.f64 re im) |
Compiled 3541 to 1142 computations (67.7% saved)
4 calls:
| 24.0ms | (hypot.f64 re im) |
| 21.0ms | (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
| 20.0ms | (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re) |
| 19.0ms | (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re))) |
Compiled 2229 to 1758 computations (21.1% saved)
| 1× | egg-herbie |
| 595× | fma-neg_binary64 |
| 547× | fma-def_binary64 |
| 421× | times-frac_binary64 |
| 303× | associate-/l*_binary64 |
| 266× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 2412 |
| 1 | 482 | 2309 |
| 2 | 1472 | 2248 |
| 3 | 4311 | 2238 |
| 4 | 4854 | 2238 |
| 5 | 4946 | 2238 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 127 | 2 | 129 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 129 | 6 | 135 |
| Status | Error | Program |
| ▶ | 15.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re)) (*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (cbrt.f64 (-.f64 (hypot.f64 re im) re))))))) |
| 46.5b | (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 im (sqrt.f64 2))) (sqrt.f64 (/.f64 1 re)))) | |
| ✓ | 14.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) |
| 56.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) -1/8 (*.f64 1/2 (/.f64 (*.f64 im im) re)))))) | |
| 53.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 (*.f64 im im) re))))) | |
| 16.6b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) 5) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) re)))) |
Compiled 2013 to 1096 computations (45.6% saved)
Found 4 expressions with local error:
| 0.4b | (cbrt.f64 (-.f64 (hypot.f64 re im) re)) |
| 0.4b | (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re)) |
| 0.5b | (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
| 7.7b | (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re) |
| 1× | rewrite-expression-head |
| 31× | add-cube-cbrt_binary64 |
| 26× | add-sqr-sqrt_binary64 |
| 15× | pow1/2_binary64 |
| 15× | flip3--_binary64 |
| 12× | add-exp-log_binary64 |
4 calls:
| 17.0ms | (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re) |
| 15.0ms | (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
| 13.0ms | (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re)) |
| 11.0ms | (cbrt.f64 (-.f64 (hypot.f64 re im) re)) |
Compiled 5230 to 1245 computations (76.2% saved)
4 calls:
| 37.0ms | (cbrt.f64 (-.f64 (hypot.f64 re im) re)) |
| 36.0ms | (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re)) |
| 25.0ms | (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
| 23.0ms | (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re) |
Compiled 4497 to 2837 computations (36.9% saved)
| 1× | egg-herbie |
| 552× | fma-def_binary64 |
| 530× | times-frac_binary64 |
| 512× | fma-neg_binary64 |
| 264× | cancel-sign-sub-inv_binary64 |
| 192× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 2972 |
| 1 | 536 | 2832 |
| 2 | 1550 | 2697 |
| 3 | 4221 | 2663 |
| 4 | 4942 | 2663 |
| 5 | 4888 | 2663 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 1 | 136 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 135 | 7 | 142 |
| Status | Error | Program |
| 17.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re)) (*.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 1/6) (pow.f64 (-.f64 (hypot.f64 re im) re) 1/6)) (cbrt.f64 (-.f64 (hypot.f64 re im) re))))))) | |
| 46.5b | (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 im (sqrt.f64 2))) (sqrt.f64 (/.f64 1 re)))) | |
| 15.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) re)) (*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (cbrt.f64 (-.f64 (hypot.f64 re im) re))))))) | |
| 14.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) | |
| 56.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) -1/8 (*.f64 1/2 (/.f64 (*.f64 im im) re)))))) | |
| 53.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 (*.f64 im im) re))))) | |
| 16.6b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) 5) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) re)))) |
Compiled 3394 to 1192 computations (64.9% saved)
Total 7.7b remaining (96.8%)
Threshold costs 0b (0%)
Compiled 21602 to 12942 computations (40.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 2.3334077665329976e+27 | 6.607954113191062e+28 | 6.533938137062735e+28 |
Compiled 3 to 2 computations (33.3% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-lft-identity_binary64 |
| 1× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 43 |
| 1 | 35 | 43 |
| 2 | 39 | 43 |
| 3 | 41 | 43 |
| 4 | 42 | 43 |
| 5 | 41 | 43 |
Compiled 30 to 24 computations (20% saved)
| 1× | intervals |
| 397.0ms | 6057× | body | 128 | valid |
| 205.0ms | 533× | body | 4096 | valid |
| 185.0ms | 616× | body | 2048 | valid |
| 120.0ms | 8000× | pre | 128 | true |
| 104.0ms | 443× | body | 1024 | valid |
| 39.0ms | 224× | body | 512 | valid |
| 15.0ms | 127× | body | 256 | valid |
Compiled 214 to 143 computations (33.2% saved)
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