Time bar (total: 15.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 9.4% | 90.4% | 0.2% | 6 |
| 17.2% | 82.7% | 0.2% | 7 |
| 19.5% | 80.3% | 0.2% | 8 |
| 30.8% | 69% | 0.2% | 9 |
| 35.5% | 64.3% | 0.2% | 10 |
| 42.4% | 57.4% | 0.2% | 11 |
| 47.1% | 52.7% | 0.2% | 12 |
| 49% | 50.8% | 0.2% | 13 |
| 50.1% | 49.7% | 0.2% | 14 |
Compiled 38 to 20 computations (47.4% saved)
| 1× | intervals |
| 52.0ms | 89× | body | 1024 | invalid |
| 27.0ms | 238× | body | 128 | valid |
| 10.0ms | 29× | body | 512 | invalid |
| 4.0ms | 5× | body | 2048 | invalid |
| 4.0ms | 14× | body | 256 | invalid |
| 3.0ms | 6× | body | 1024 | valid |
| 2.0ms | 19× | body | 128 | invalid |
| 2.0ms | 5× | body | 512 | valid |
| 2.0ms | 7× | body | 256 | valid |
Compiled 75 to 43 computations (42.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (66.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4944 | 72 |
| 1 | 4944 | 72 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 73 to 38 computations (47.9% saved)
Found 8 expressions with local error:
| 0.0b | (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) |
| 0.0b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) |
| 0.0b | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 0.0b | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 1.5b | (*.f64 (atan2.f64 x.im x.re) y.im) |
| 29.8b | (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) |
| 32.0b | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 32.0b | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 1× | rewrite-expression-head |
| 12× | add-sqr-sqrt_binary64 |
| 8× | *-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 |
| 6× | add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-prod_binary64 |
| 4× | add-log-exp_binary64 sqrt-div_binary64 |
| 3× | associate-*r*_binary64 associate-*l*_binary64 |
| 2× | flip3-+_binary64 pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip-+_binary64 |
| 1× | pow-prod-down_binary64 cbrt-unprod_binary64 sin-sum_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64 |
8 calls:
| 6.0ms | (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) |
| 6.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 4.0ms | (*.f64 (atan2.f64 x.im x.re) y.im) |
| 0.0ms | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
4 calls:
| 413.0ms | (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) |
| 138.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 108.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 71.0ms | (*.f64 (atan2.f64 x.im x.re) y.im) |
Compiled 4110 to 2665 computations (35.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (52.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5050 | 2475 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 106 | 8 | 114 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 106 | 9 | 115 |
Compiled 5034 to 1393 computations (72.3% saved)
Found 8 expressions with local error:
| 0.0b | (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) |
| 0.0b | (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) |
| 0.0b | (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) |
| 0.0b | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 32.0b | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 32.0b | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 32.0b | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 32.0b | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 1× | rewrite-expression-head |
| 20× | *-un-lft-identity_binary64 |
| 18× | sqrt-prod_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 8× | pow1_binary64 add-cube-cbrt_binary64 sqrt-div_binary64 |
| 6× | distribute-lft-out_binary64 unpow-prod-down_binary64 |
| 4× | flip3-+_binary64 add-log-exp_binary64 pow1/2_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip-+_binary64 |
8 calls:
| 9.0ms | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 8.0ms | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 8.0ms | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 0.0ms | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
4 calls:
| 155.0ms | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 154.0ms | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 154.0ms | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 137.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
Compiled 7196 to 4762 computations (33.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (44.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5052 | 2209 |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 2 | 128 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 126 | 11 | 137 |
Compiled 10882 to 5424 computations (50.2% saved)
Found 8 expressions with local error:
| 0.0b | (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)) |
| 0.0b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3))) |
| 0.0b | (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) |
| 0.0b | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 14.3b | (cbrt.f64 (pow.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3)) |
| 29.8b | (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) |
| 32.0b | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 32.0b | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 1× | rewrite-expression-head |
| 13× | *-un-lft-identity_binary64 |
| 12× | cbrt-prod_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 9× | add-cube-cbrt_binary64 |
| 8× | sqrt-prod_binary64 |
| 6× | pow1_binary64 |
| 5× | unpow-prod-down_binary64 |
| 4× | add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64 |
| 3× | cube-prod_binary64 |
| 2× | flip3-+_binary64 pow1/2_binary64 distribute-lft-out_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip-+_binary64 |
| 1× | rem-cbrt-cube_binary64 pow1/3_binary64 sin-sum_binary64 sqr-pow_binary64 unpow3_binary64 cube-mult_binary64 |
8 calls:
| 8.0ms | (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) |
| 8.0ms | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 5.0ms | (cbrt.f64 (pow.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3)) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 0.0ms | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
4 calls:
| 397.0ms | (cbrt.f64 (pow.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3)) |
| 316.0ms | (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) |
| 116.0ms | (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) |
| 108.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
Compiled 4988 to 3451 computations (30.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (71.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4956 | 3742 |
| 1 | 4956 | 3742 |
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 4 | 126 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 124 | 13 | 137 |
Compiled 6131 to 2612 computations (57.4% saved)
Found 8 expressions with local error:
| 0.0b | (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) |
| 0.0b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3))) |
| 0.0b | (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) |
| 0.0b | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 1.5b | (*.f64 (atan2.f64 x.im x.re) y.im) |
| 16.8b | (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) |
| 22.4b | (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)) |
| 32.0b | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 1× | rewrite-expression-head |
| 13× | add-sqr-sqrt_binary64 |
| 12× | cbrt-prod_binary64 |
| 10× | *-un-lft-identity_binary64 add-cube-cbrt_binary64 |
| 7× | pow1_binary64 |
| 6× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | associate-*r*_binary64 associate-*l*_binary64 unpow-prod-down_binary64 cube-prod_binary64 sqrt-prod_binary64 |
| 2× | sqrt-div_binary64 |
| 1× | pow-prod-down_binary64 flip3-+_binary64 pow1/2_binary64 rem-cbrt-cube_binary64 cbrt-unprod_binary64 pow1/3_binary64 sqr-pow_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 prod-exp_binary64 flip-+_binary64 unpow3_binary64 *-commutative_binary64 cube-mult_binary64 |
8 calls:
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 4.0ms | (*.f64 (atan2.f64 x.im x.re) y.im) |
| 3.0ms | (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)) |
| 2.0ms | (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) |
| 0.0ms | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
4 calls:
| 134.0ms | (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
| 134.0ms | (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) |
| 127.0ms | (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)) |
| 73.0ms | (*.f64 (atan2.f64 x.im x.re) y.im) |
Compiled 2411 to 1747 computations (27.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (52.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5099 | 1719 |
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 4 | 108 |
| Fresh | 1 | 9 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 106 | 15 | 121 |
Compiled 3342 to 898 computations (73.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (5.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 3068 |
| 1 | 295 | 3068 |
Compiled 6316 to 4284 computations (32.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 1.798301029127406e+54 | 7.925587002278094e+54 | 3.830449135996521e+54 |
| 9 | 279.84913426541436 | 930935118.0435365 | 72273.62012139842 |
| 7 | 4.329247734157589e-174 | 1.1560899359757212e-172 | 1.4724929191929907e-173 |
| 10 | -8.991598433474235e-114 | -3.20204909375144e-125 | -7.152265036082887e-122 |
| 9 | -1.3070488064622128e+146 | -5.359028552902453e+138 | -4.6754114793960554e+144 |
Compiled 1 to 4 computations (-300% saved)
Compiled 1544 to 1132 computations (26.7% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1.068111152388603e-40 | 8.647073850089077e-38 | 1.501996167680406e-40 |
| 7 | 4.329247734157589e-174 | 1.1560899359757212e-172 | 3.94978284085457e-173 |
| 10 | -8.991598433474235e-114 | -3.20204909375144e-125 | -5.321995205341738e-121 |
| 9 | -1.3070488064622128e+146 | -5.359028552902453e+138 | -2.1801185610017876e+144 |
Compiled 1 to 4 computations (-300% saved)
Compiled 1400 to 1056 computations (24.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1.068111152388603e-40 | 8.647073850089077e-38 | 5.880991632537931e-40 |
| 8 | 1.2330911022086788e-128 | 3.1264853859384725e-125 | 1.8088105277735776e-127 |
| 10 | -7.847056780010913e-263 | -4.703633979698483e-277 | -1.552059420187445e-273 |
| 9 | -1.3070488064622128e+146 | -5.359028552902453e+138 | -1.2831397775390236e+146 |
Compiled 1 to 4 computations (-300% saved)
Compiled 1040 to 808 computations (22.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 1.798301029127406e+54 | 7.925587002278094e+54 | 1.8236767072772018e+54 |
| 9 | 279.84913426541436 | 930935118.0435365 | 135259661.61043206 |
| 7 | 4.329247734157589e-174 | 1.1560899359757212e-172 | 1.144171802967284e-172 |
| 9 | -1.362267226802697e+112 | -1.6908110596238152e+106 | -1.9683313878826213e+107 |
Compiled 1 to 4 computations (-300% saved)
Compiled 680 to 568 computations (16.5% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | -5.323087326817052e-305 | 3.84416746015919e-305 | 8.475330792296708e-308 |
| 9 | -1.362267226802697e+112 | -1.6908110596238152e+106 | -1.0944590773690195e+108 |
Compiled 1 to 4 computations (-300% saved)
Compiled 560 to 488 computations (12.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 28.656547866029342 | 279.84913426541436 | 30.72037689046524 |
| 10 | 5.406658885496711e-105 | 9.36572646583306e-95 | 2.62250545672576e-102 |
| 5 | 4.829427398061274e-194 | 1.2999749633185382e-193 | 1.2755997546763125e-193 |
| 9 | -1.362267226802697e+112 | -1.6908110596238152e+106 | -2.2693329803941562e+110 |
Compiled 1 to 4 computations (-300% saved)
Compiled 384 to 352 computations (8.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 4 | 0.0006698739119364151 | 0.0013094401609346986 | 0.0009212228530309738 |
| 9 | -4.285748865682573e-15 | -4.9209678054321526e-21 | -5.6399303469765735e-21 |
Compiled 1 to 4 computations (-300% saved)
Compiled 116 to 156 computations (-34.5% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 4 | 0.0006698739119364151 | 0.0013094401609346986 | 0.0007733705347400569 |
| 9 | -4.285748865682573e-15 | -4.9209678054321526e-21 | -3.177892013087221e-20 |
Compiled 1 to 4 computations (-300% saved)
Total 10.2b remaining (45.8%)
Threshold costs 0b (0%)
Compiled 20 to 92 computations (-360% saved)
Compiled 908 to 366 computations (59.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 1733 |
| 1 | 200 | 1733 |
| 1× | intervals |
| 1.2s | 2429× | body | 1024 | invalid |
| 851.0ms | 7585× | body | 128 | valid |
| 319.0ms | 887× | body | 512 | invalid |
| 164.0ms | 193× | body | 2048 | invalid |
| 98.0ms | 188× | body | 1024 | valid |
| 76.0ms | 322× | body | 256 | invalid |
| 59.0ms | 509× | body | 128 | invalid |
| 44.0ms | 131× | body | 512 | valid |
| 19.0ms | 83× | body | 256 | valid |
| 10.0ms | 13× | body | 2048 | valid |
Compiled 2503 to 1450 computations (42.1% saved)
0.3053167431012725
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