Time bar (total: 9.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 93.6% | 6.4% | 7 |
| 0% | 93.6% | 6.4% | 8 |
| 0% | 91.3% | 8.7% | 9 |
| 0% | 86.6% | 13.4% | 10 |
| 0% | 85.8% | 14.2% | 11 |
| 0% | 83.1% | 16.9% | 12 |
| 0% | 80.6% | 19.4% | 13 |
| 0% | 79.4% | 20.6% | 14 |
Compiled 21 to 15 computations (28.6% saved)
| 809.0ms | 5351× | body | 128 | valid |
| 690.0ms | 1142× | body | 2048 | valid |
| 389.0ms | 783× | body | 1024 | valid |
| 332.0ms | 385× | body | 8192 | exit |
| 275.0ms | 385× | body | 4096 | valid |
| 142.0ms | 911× | body | 128 | invalid |
| 141.0ms | 382× | body | 512 | valid |
| 57.0ms | 213× | body | 256 | valid |
Compiled 41 to 29 computations (29.3% saved)
| 1× | egg-herbie |
| 1968× | fma-neg_binary64 |
| 1363× | fma-def_binary64 |
| 898× | div-sub_binary64 |
| 743× | associate-/l*_binary64 |
| 567× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 26 |
| 1 | 30 | 22 |
| 2 | 64 | 22 |
| 3 | 135 | 22 |
| 4 | 201 | 22 |
| 5 | 335 | 22 |
| 6 | 554 | 22 |
| 7 | 929 | 22 |
| 8 | 1477 | 22 |
| 9 | 2115 | 22 |
| 10 | 2599 | 22 |
| 11 | 2554 | 22 |
| 12 | 2602 | 22 |
| 13 | 2671 | 22 |
| 14 | 3117 | 22 |
| 15 | 2327 | 22 |
| 16 | 2375 | 22 |
| 17 | 2383 | 22 |
| 18 | 2389 | 22 |
| 19 | 2395 | 22 |
| 20 | 2397 | 22 |
| 21 | 2397 | 22 |
| 22 | 2585 | 22 |
| 23 | 2685 | 22 |
| 24 | 2619 | 22 |
| 25 | 2631 | 22 |
| 26 | 2661 | 22 |
| 27 | 2677 | 22 |
| 28 | 2707 | 22 |
| 29 | 2707 | 22 |
| 30 | 2751 | 22 |
| 31 | 2851 | 22 |
| 32 | 2827 | 22 |
| 33 | 2827 | 22 |
| 34 | 2638 | 22 |
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 |
| 31.8b | (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a)) | |
| ▶ | 31.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
Compiled 111 to 74 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| ✓ | 0.4b | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) |
| ✓ | 0.7b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) |
| ✓ | 19.4b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
4 calls:
| 93.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 57.0ms | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) |
| 46.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
| 12.0ms | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) |
| 1× | rewrite-expression-head |
| 22× | *-un-lft-identity_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 10× | fma-def_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 10× | add-log-exp_binary64 |
4 calls:
| 11.0ms | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) |
| 10.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 4.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
| 3.0ms | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) |
| 1× | egg-herbie |
| 683× | fma-neg_binary64 |
| 340× | cancel-sign-sub-inv_binary64 |
| 242× | distribute-rgt-neg-in_binary64 |
| 156× | associate-*r*_binary64 |
| 151× | distribute-rgt-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 4286 |
| 1 | 716 | 3943 |
| 2 | 2528 | 3797 |
| 3 | 4700 | 3771 |
| 4 | 5026 | 3771 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 197 | 10 | 207 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 198 | 11 | 209 |
| Status | Error | Program |
| 31.5b | (/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) 3) a) | |
| 39.1b | (*.f64 -1/2 (/.f64 c b)) | |
| 38.4b | (/.f64 (/.f64 (*.f64 3 (*.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b))) (*.f64 3 a)) | |
| 45.3b | (-.f64 (*.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (*.f64 3 (*.f64 c a)))) a)) (*.f64 1/3 (/.f64 b a))) | |
| 31.5b | (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (/.f64 1 (*.f64 3 a))) | |
| 34.6b | (/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) b))) (*.f64 3 a)) | |
| ▶ | 31.5b | (/.f64 1 (/.f64 (*.f64 3 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) |
| 43.6b | (/.f64 (*.f64 -2 b) (*.f64 3 a)) | |
| 38.7b | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)))) (*.f64 3 a)) | |
| 43.9b | (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) | |
| ✓ | 31.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
Compiled 5725 to 3388 computations (40.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (*.f64 3 a) c) |
| 0.4b | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) | |
| 0.7b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) | |
| 19.4b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 3 a) c) |
| 1× | rewrite-expression-head |
| 6× | add-cbrt-cube_binary64 |
| 6× | add-exp-log_binary64 |
| 6× | pow1_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | cbrt-unprod_binary64 |
1 calls:
| 4.0ms | (*.f64 (*.f64 3 a) c) |
| 1× | egg-herbie |
| 578× | associate-*l*_binary64 |
| 477× | unswap-sqr_binary64 |
| 383× | associate-*r*_binary64 |
| 351× | *-commutative_binary64 |
| 334× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 380 |
| 1 | 99 | 344 |
| 2 | 366 | 344 |
| 3 | 1031 | 344 |
| 4 | 1241 | 344 |
| 5 | 1501 | 344 |
| 6 | 1934 | 344 |
| 7 | 4036 | 344 |
| 8 | 4924 | 344 |
| 9 | 5048 | 344 |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 0 | 168 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 168 | 11 | 179 |
| Status | Error | Program |
| ▶ | 31.5b | (/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) 3) a) |
| 39.1b | (*.f64 -1/2 (/.f64 c b)) | |
| 38.4b | (/.f64 (/.f64 (*.f64 3 (*.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b))) (*.f64 3 a)) | |
| 45.3b | (-.f64 (*.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (*.f64 3 (*.f64 c a)))) a)) (*.f64 1/3 (/.f64 b a))) | |
| 31.5b | (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (/.f64 1 (*.f64 3 a))) | |
| 34.6b | (/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) b))) (*.f64 3 a)) | |
| ✓ | 31.5b | (/.f64 1 (/.f64 (*.f64 3 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) |
| 43.6b | (/.f64 (*.f64 -2 b) (*.f64 3 a)) | |
| 38.7b | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)))) (*.f64 3 a)) | |
| 43.9b | (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) | |
| ✓ | 31.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
Compiled 4830 to 2970 computations (38.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (*.f64 (*.f64 3 a) c) | |
| 0.4b | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) | |
| 0.7b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) | |
| 19.4b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 167 | 1 | 168 |
| Fresh | 0 | 8 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 168 | 11 | 179 |
| Status | Error | Program |
| 38.4b | (/.f64 (/.f64 (*.f64 3 (*.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b))) (*.f64 3 a)) | |
| 45.3b | (-.f64 (*.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (*.f64 3 (*.f64 c a)))) a)) (*.f64 1/3 (/.f64 b a))) | |
| ▶ | 31.5b | (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (/.f64 1 (*.f64 3 a))) |
| 34.6b | (/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) b))) (*.f64 3 a)) | |
| ✓ | 31.5b | (/.f64 1 (/.f64 (*.f64 3 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) |
| 43.6b | (/.f64 (*.f64 -2 b) (*.f64 3 a)) | |
| 38.7b | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)))) (*.f64 3 a)) | |
| 43.9b | (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) | |
| 39.1b | (*.f64 -1/2 (/.f64 c b)) | |
| ✓ | 31.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 43.6b | (/.f64 (/.f64 (*.f64 b -2) 3) a) |
Compiled 4474 to 2622 computations (41.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (/.f64 1 (*.f64 3 a)) |
| 0.4b | (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)) | |
| 0.7b | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) | |
| 19.4b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) |
1 calls:
| 2.0ms | (/.f64 1 (*.f64 3 a)) |
| 1× | rewrite-expression-head |
| 12× | add-exp-log_binary64 |
| 6× | add-cbrt-cube_binary64 |
| 4× | div-exp_binary64 |
| 4× | pow1_binary64 |
| 3× | associate-/l*_binary64 |
1 calls:
| 4.0ms | (/.f64 1 (*.f64 3 a)) |
| 1× | egg-herbie |
| 847× | fma-def_binary64 |
| 542× | fma-neg_binary64 |
| 519× | fabs-mul_binary64 |
| 423× | sqr-pow_binary64 |
| 412× | pow-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 231 |
| 1 | 87 | 204 |
| 2 | 206 | 204 |
| 3 | 455 | 204 |
| 4 | 592 | 204 |
| 5 | 854 | 204 |
| 6 | 1622 | 204 |
| 7 | 2005 | 204 |
| 8 | 2446 | 204 |
| 9 | 2753 | 204 |
| 10 | 3111 | 204 |
| 11 | 3895 | 204 |
| 12 | 4649 | 204 |
| 13 | 4837 | 204 |
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 181 | 0 | 181 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 181 | 11 | 192 |
| Status | Error | Program |
| 38.4b | (/.f64 (/.f64 (*.f64 3 (*.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b))) (*.f64 3 a)) | |
| 45.3b | (-.f64 (*.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (*.f64 3 (*.f64 c a)))) a)) (*.f64 1/3 (/.f64 b a))) | |
| ✓ | 31.5b | (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (/.f64 1 (*.f64 3 a))) |
| 34.6b | (/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) b))) (*.f64 3 a)) | |
| ✓ | 31.5b | (/.f64 1 (/.f64 (*.f64 3 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) |
| 43.6b | (/.f64 (*.f64 -2 b) (*.f64 3 a)) | |
| 38.7b | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)))) (*.f64 3 a)) | |
| 43.9b | (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) | |
| 39.1b | (*.f64 -1/2 (/.f64 c b)) | |
| ✓ | 31.4b | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) |
| 43.6b | (/.f64 (/.f64 (*.f64 b -2) 3) a) |
Compiled 4916 to 3029 computations (38.4% saved)
Total 4.6b remaining (44.2%)
Threshold costs 0b (0%)
Compiled 12812 to 9256 computations (27.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 3.1103980086808433e-96 | 3.267944965638489e-85 | 3.22193770885194e-85 |
| 9 | -1.5310059593737775e+45 | -1.7776466396256486e+39 | -1.5034552150273902e+45 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 55 |
| 1 | 38 | 53 |
| 2 | 45 | 53 |
| 3 | 50 | 53 |
| 4 | 53 | 53 |
| 5 | 54 | 53 |
| 6 | 54 | 53 |
Compiled 266 to 190 computations (28.6% saved)
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