Time bar (total: 35.3s)
| 1× | search |
| 2× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4894 | 172 |
| 1 | 4894 | 172 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 28.1% | 71.9% | 0 |
| 0% | 28.1% | 71.9% | 1 |
| 0% | 28.1% | 71.9% | 2 |
| 0% | 28.1% | 71.9% | 3 |
| 3.5% | 24.6% | 71.9% | 4 |
| 5.3% | 22.8% | 71.9% | 5 |
| 10.5% | 17.5% | 71.9% | 6 |
| 14% | 14% | 71.9% | 7 |
| 19.1% | 9% | 71.9% | 8 |
| 24.6% | 3.5% | 71.9% | 9 |
| 25.1% | 3% | 71.9% | 10 |
| 25.8% | 2.3% | 71.9% | 11 |
| 26.3% | 1.8% | 71.9% | 12 |
| 26.6% | 1.5% | 71.9% | 13 |
| 26.9% | 1.2% | 71.9% | 14 |
Compiled 39 to 27 computations (30.8% saved)
| 1× | intervals |
| 11.0ms | 205× | body | 128 | valid |
| 6.0ms | 26× | body | 1024 | valid |
| 5.0ms | 256× | pre | 128 | true |
| 3.0ms | 19× | body | 512 | valid |
| 1.0ms | 6× | body | 256 | valid |
Compiled 68 to 50 computations (26.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (66.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5371 | 43 |
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 58 to 40 computations (31% saved)
Found 3 expressions with local error:
| 0.1b | (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) |
| 0.8b | (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) |
| 22.4b | (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) |
| 1× | rewrite-expression-head |
| 54× | times-frac_binary64_1448 |
| 47× | *-un-lft-identity_binary64_1442 |
| 25× | add-cube-cbrt_binary64_1477 add-sqr-sqrt_binary64_1464 |
| 17× | add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 |
| 14× | associate-/r/_binary64_1388 |
| 11× | flip3-+_binary64_1445 flip-+_binary64_1416 distribute-lft-out_binary64_1393 |
| 10× | associate-/l*_binary64_1387 |
| 9× | associate-/l/_binary64_1389 |
| 7× | div-exp_binary64_1493 cbrt-undiv_binary64_1476 div-inv_binary64_1439 associate-/r*_binary64_1386 |
| 5× | add-log-exp_binary64_1481 |
| 4× | frac-times_binary64_1452 |
| 3× | pow1_binary64_1503 flip3--_binary64_1446 flip--_binary64_1417 |
| 2× | prod-exp_binary64_1491 cbrt-unprod_binary64_1475 frac-2neg_binary64_1453 clear-num_binary64_1441 associate-*l/_binary64_1385 associate-*r/_binary64_1384 |
| 1× | sum-log_binary64_1533 +-commutative_binary64_1372 |
3 calls:
| 35.0ms | (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) |
| 22.0ms | (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) |
| 15.0ms | (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) |
Compiled 4866 to 2450 computations (49.7% saved)
3 calls:
| 4.0s | (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) |
| 2.4s | (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) |
| 349.0ms | (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) |
Compiled 19038 to 14332 computations (24.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (32.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5316 | 18334 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 190 | 6 | 196 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 191 | 6 | 197 |
Compiled 11995 to 6914 computations (42.4% saved)
Found 4 expressions with local error:
| 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha))) |
| 0.1b | (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) |
| 0.1b | (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))) |
| 0.8b | (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) |
| 1× | rewrite-expression-head |
| 48× | *-un-lft-identity_binary64_1442 |
| 45× | add-sqr-sqrt_binary64_1464 |
| 35× | times-frac_binary64_1448 |
| 26× | add-cube-cbrt_binary64_1477 |
| 21× | associate-*r*_binary64_1382 |
| 20× | add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 |
| 8× | flip3-+_binary64_1445 flip-+_binary64_1416 |
| 7× | difference-of-squares_binary64_1411 distribute-lft-out--_binary64_1394 associate-/l/_binary64_1389 associate-/r*_binary64_1386 |
| 6× | add-log-exp_binary64_1481 pow1_binary64_1503 div-exp_binary64_1493 cbrt-undiv_binary64_1476 associate-/r/_binary64_1388 associate-/l*_binary64_1387 |
| 4× | distribute-lft-out_binary64_1393 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 frac-times_binary64_1452 associate-*l/_binary64_1385 associate-*l*_binary64_1383 |
| 3× | div-inv_binary64_1439 |
| 2× | unswap-sqr_binary64_1410 associate-*r/_binary64_1384 frac-2neg_binary64_1453 clear-num_binary64_1441 |
| 1× | sum-log_binary64_1533 +-commutative_binary64_1372 pow-prod-down_binary64_1513 *-commutative_binary64_1373 div-sub_binary64_1447 flip3--_binary64_1446 flip--_binary64_1417 |
4 calls:
| 26.0ms | (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) |
| 26.0ms | (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) |
| 19.0ms | (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))) |
| 12.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha))) |
Compiled 5146 to 2609 computations (49.3% saved)
4 calls:
| 4.0s | (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) |
| 2.4s | (/.f64 (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) |
| 387.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha))) |
| 332.0ms | (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))) |
Compiled 21969 to 16413 computations (25.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (31.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5042 | 19008 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 243 | 1 | 244 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 244 | 6 | 250 |
Compiled 13479 to 7907 computations (41.3% saved)
Found 4 expressions with local error:
| 0.1b | (/.f64 (+.f64 2 (+.f64 alpha (+.f64 (*.f64 2 i) beta))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta))))) |
| 0.1b | (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta)))) |
| 0.3b | (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha (+.f64 (*.f64 2 i) beta))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta)))))) |
| 0.8b | (+.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha (+.f64 (*.f64 2 i) beta))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta)))))) 1) |
| 1× | rewrite-expression-head |
| 93× | *-un-lft-identity_binary64_1442 |
| 88× | times-frac_binary64_1448 |
| 53× | add-sqr-sqrt_binary64_1464 |
| 52× | add-exp-log_binary64_1480 |
| 40× | add-cube-cbrt_binary64_1477 |
| 32× | add-cbrt-cube_binary64_1478 |
| 28× | associate-/r/_binary64_1388 |
| 26× | distribute-lft-out_binary64_1393 associate-*r*_binary64_1382 |
| 25× | div-exp_binary64_1493 |
| 15× | flip3-+_binary64_1445 flip-+_binary64_1416 associate-/r*_binary64_1386 |
| 13× | cbrt-undiv_binary64_1476 |
| 12× | frac-times_binary64_1452 associate-*l/_binary64_1385 |
| 10× | prod-exp_binary64_1491 |
| 8× | div-inv_binary64_1439 associate-/l*_binary64_1387 |
| 7× | pow1_binary64_1503 |
| 6× | add-log-exp_binary64_1481 cbrt-unprod_binary64_1475 associate-*r/_binary64_1384 |
| 4× | 1-exp_binary64_1486 rec-exp_binary64_1492 associate-*l*_binary64_1383 difference-of-squares_binary64_1411 distribute-lft-out--_binary64_1394 |
| 2× | frac-2neg_binary64_1453 clear-num_binary64_1441 unswap-sqr_binary64_1410 associate-/l/_binary64_1389 |
| 1× | sum-log_binary64_1533 +-commutative_binary64_1372 inv-pow_binary64_1527 pow-flip_binary64_1516 pow-prod-down_binary64_1513 *-commutative_binary64_1373 |
4 calls:
| 41.0ms | (+.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha (+.f64 (*.f64 2 i) beta))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta)))))) 1) |
| 29.0ms | (/.f64 (+.f64 2 (+.f64 alpha (+.f64 (*.f64 2 i) beta))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta))))) |
| 26.0ms | (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha (+.f64 (*.f64 2 i) beta))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta)))))) |
| 20.0ms | (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta)))) |
Compiled 7535 to 4553 computations (39.6% saved)
4 calls:
| 4.0s | (+.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha (+.f64 (*.f64 2 i) beta))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta)))))) 1) |
| 2.3s | (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha (+.f64 (*.f64 2 i) beta))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta)))))) |
| 785.0ms | (/.f64 (+.f64 2 (+.f64 alpha (+.f64 (*.f64 2 i) beta))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta))))) |
| 337.0ms | (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 (*.f64 2 i) beta)))) |
Compiled 22534 to 16754 computations (25.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (34.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5087 | 23011 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 1 | 299 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 299 | 6 | 305 |
Compiled 14622 to 8814 computations (39.7% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 (/.f64 1 (+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (*.f64 4 (/.f64 i beta)))))) 1) |
| 0.0b | (*.f64 4 (/.f64 i beta)) |
| 0.0b | (+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (*.f64 4 (/.f64 i beta))))) |
| 0.9b | (/.f64 1 (+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (*.f64 4 (/.f64 i beta)))))) |
| 1× | rewrite-expression-head |
| 34× | *-un-lft-identity_binary64_1442 |
| 26× | add-sqr-sqrt_binary64_1464 |
| 22× | times-frac_binary64_1448 |
| 21× | add-cube-cbrt_binary64_1477 |
| 15× | add-log-exp_binary64_1481 |
| 13× | add-exp-log_binary64_1480 associate-*r*_binary64_1382 |
| 12× | frac-add_binary64_1450 |
| 11× | add-cbrt-cube_binary64_1478 |
| 7× | pow1_binary64_1503 distribute-lft-out_binary64_1393 flip3-+_binary64_1445 flip-+_binary64_1416 sum-log_binary64_1533 |
| 6× | associate-/r/_binary64_1388 |
| 5× | associate-*r/_binary64_1384 |
| 4× | associate-/r*_binary64_1386 |
| 3× | div-exp_binary64_1493 div-inv_binary64_1439 associate-/l*_binary64_1387 associate-*l*_binary64_1383 |
| 2× | cbrt-undiv_binary64_1476 +-commutative_binary64_1372 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 unswap-sqr_binary64_1410 |
| 1× | inv-pow_binary64_1527 pow-flip_binary64_1516 1-exp_binary64_1486 rec-exp_binary64_1492 frac-2neg_binary64_1453 clear-num_binary64_1441 associate-+r+_binary64_1374 pow-prod-down_binary64_1513 *-commutative_binary64_1373 |
4 calls:
| 23.0ms | (+.f64 (/.f64 1 (+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (*.f64 4 (/.f64 i beta)))))) 1) |
| 18.0ms | (/.f64 1 (+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (*.f64 4 (/.f64 i beta)))))) |
| 16.0ms | (+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (*.f64 4 (/.f64 i beta))))) |
| 7.0ms | (*.f64 4 (/.f64 i beta)) |
Compiled 3884 to 2639 computations (32.1% saved)
4 calls:
| 451.0ms | (+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (*.f64 4 (/.f64 i beta))))) |
| 301.0ms | (/.f64 1 (+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (*.f64 4 (/.f64 i beta)))))) |
| 218.0ms | (+.f64 (/.f64 1 (+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (*.f64 4 (/.f64 i beta)))))) 1) |
| 80.0ms | (*.f64 4 (/.f64 i beta)) |
Compiled 2656 to 2337 computations (12% saved)
| 1× | egg-herbie |
Useful iterations: 0 (44.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5032 | 4150 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 0 | 157 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 157 | 6 | 163 |
Compiled 3359 to 2279 computations (32.2% saved)
Total 1.6b remaining (94.5%)
Threshold costs 0b (0%)
Compiled 49045 to 36500 computations (25.6% saved)
Compiled 25 to 16 computations (36% saved)
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 108 |
| 1 | 53 | 108 |
Compiled 72 to 46 computations (36.1% saved)
| 1× | intervals |
| 368.0ms | 6440× | body | 128 | valid |
| 178.0ms | 8000× | pre | 128 | true |
| 164.0ms | 715× | body | 1024 | valid |
| 91.0ms | 500× | body | 512 | valid |
| 39.0ms | 295× | body | 256 | valid |
| 14.0ms | 50× | body | 2048 | valid |
Compiled 410 to 295 computations (28% saved)
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