Details

Time bar (total: 46.1s)

analyze8.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%56.2%43.8%0
0%56.2%43.8%1
0%56.2%43.8%2
42.1%14%43.8%3
42.1%14%43.8%4
52.7%3.5%43.8%5
56.2%0%43.8%6
Compiler

Compiled 42 to 29 computations (31% saved)

sample52.0ms (0.1%)

Algorithm
intervals
Results
26.0ms256×body128valid
6.0ms256×pre128true
Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify600.0ms (1.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (432.0ms)

IterNodesCost
0502337

prune10.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.9b
Counts
2 → 2
Compiler

Compiled 85 to 60 computations (29.4% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.1b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
7.9b
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
9.5b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite737.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
77×*-un-lft-identity_binary64_1442
34×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 distribute-lft-out_binary64_1393
24×flip3-+_binary64_1445 flip-+_binary64_1416
21×add-sqr-sqrt_binary64_1464 associate-*r*_binary64_1382
18×associate-/r/_binary64_1388
16×frac-times_binary64_1452
15×add-cube-cbrt_binary64_1477
14×times-frac_binary64_1448
13×pow1_binary64_1503
11×swap-sqr_binary64_1409
10×prod-exp_binary64_1491 div-exp_binary64_1493 cbrt-undiv_binary64_1476 cbrt-unprod_binary64_1475 associate-*l/_binary64_1385
associate-*l*_binary64_1383
associate-*r/_binary64_1384
associate-/l/_binary64_1389
associate-/r*_binary64_1386
associate-/l*_binary64_1387
add-log-exp_binary64_1481
div-inv_binary64_1439 unswap-sqr_binary64_1410
frac-2neg_binary64_1453 clear-num_binary64_1441 pow-prod-down_binary64_1513 *-commutative_binary64_1373
pow2_binary64_1523 pow-prod-up_binary64_1512 pow-plus_binary64_1505 pow-sqr_binary64_1415 distribute-rgt-in_binary64_1392 distribute-lft-in_binary64_1391
Counts
4 → 158
Calls

4 calls:

56.0ms
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
45.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
33.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
28.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 6017 to 3676 computations (38.9% saved)

series4.3s (9.2%)

Error
0.2b
Counts
4 → 66
Calls

4 calls:

1.9s
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
862.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
655.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
225.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 13702 to 10893 computations (20.5% saved)

simplify214.0ms (0.5%)

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0499312099
1499312099

prune1.3s (2.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2168224
Fresh101
Picked101
Done000
Total2188226
Error
0.0b
Counts
226 → 8
Compiler

Compiled 11103 to 7552 computations (32% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
0.1b
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))
0.1b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
7.9b
(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2)))

rewrite2.7s (5.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
826×*-un-lft-identity_binary64_1442
508×times-frac_binary64_1448
374×distribute-lft-out_binary64_1393
191×add-sqr-sqrt_binary64_1464
182×add-cube-cbrt_binary64_1477
136×associate-*r*_binary64_1382
34×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
31×associate-/l*_binary64_1387
30×associate-/r/_binary64_1388
20×flip3-+_binary64_1445 flip-+_binary64_1416
15×div-inv_binary64_1439 associate-/r*_binary64_1386
14×div-exp_binary64_1493 cbrt-undiv_binary64_1476
associate-/l/_binary64_1389
pow1_binary64_1503 prod-exp_binary64_1491 cbrt-unprod_binary64_1475
add-log-exp_binary64_1481 frac-times_binary64_1452 associate-*l/_binary64_1385 associate-*l*_binary64_1383
unswap-sqr_binary64_1410 frac-2neg_binary64_1453 clear-num_binary64_1441
associate-*r/_binary64_1384
pow-prod-down_binary64_1513 *-commutative_binary64_1373
Counts
4 → 422
Calls

4 calls:

95.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2)))
60.0ms
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
39.0ms
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))
21.0ms
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
Compiler

Compiled 16960 to 11567 computations (31.8% saved)

series4.2s (9.2%)

Error
0.0b
Counts
4 → 62
Calls

4 calls:

1.9s
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
845.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2)))
636.0ms
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))
204.0ms
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
Compiler

Compiled 13928 to 11043 computations (20.7% saved)

simplify392.0ms (0.8%)

Algorithm
egg-herbie
Counts
484 → 484
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
0495021050
1495021050

prune2.7s (5.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4813484
Fresh347
Picked011
Done000
Total4848492
Error
0.0b
Counts
492 → 8
Compiler

Compiled 21564 to 14994 computations (30.5% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))
0.1b
(/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))))
0.2b
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)))))
7.9b
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)))

rewrite3.5s (7.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
821×*-un-lft-identity_binary64_1442
550×times-frac_binary64_1448
365×distribute-lft-out_binary64_1393
203×add-sqr-sqrt_binary64_1464
194×add-cube-cbrt_binary64_1477
136×associate-*r*_binary64_1382
82×add-exp-log_binary64_1480
52×add-cbrt-cube_binary64_1478 associate-/r/_binary64_1388
44×div-exp_binary64_1493
34×associate-/l*_binary64_1387
26×flip3-+_binary64_1445 flip-+_binary64_1416
25×cbrt-undiv_binary64_1476
20×associate-/r*_binary64_1386
19×div-inv_binary64_1439
15×prod-exp_binary64_1491
12×frac-times_binary64_1452 associate-*l/_binary64_1385
cbrt-unprod_binary64_1475
pow1_binary64_1503
associate-*r/_binary64_1384
1-exp_binary64_1486 rec-exp_binary64_1492
add-log-exp_binary64_1481 associate-*l*_binary64_1383
unswap-sqr_binary64_1410 frac-2neg_binary64_1453 clear-num_binary64_1441 associate-/l/_binary64_1389
pow-prod-down_binary64_1513 *-commutative_binary64_1373 inv-pow_binary64_1527 pow-flip_binary64_1516
Counts
4 → 469
Calls

4 calls:

98.0ms
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)))
78.0ms
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)))))
63.0ms
(/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))))
38.0ms
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))
Compiler

Compiled 20007 to 14657 computations (26.7% saved)

series4.9s (10.7%)

Error
0.0b
Counts
4 → 70
Calls

4 calls:

1.9s
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)))))
845.0ms
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)))
741.0ms
(/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))))
636.0ms
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))
Compiler

Compiled 16386 to 13037 computations (20.4% saved)

simplify451.0ms (1%)

Algorithm
egg-herbie
Counts
539 → 539
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
0535426199

prune3.7s (8.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5381539
Fresh246
Picked101
Done011
Total5416547
Error
0.0b
Counts
547 → 6
Compiler

Compiled 25130 to 18003 computations (28.4% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.9b
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))))
9.5b
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
9.5b
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
9.5b
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))

rewrite1.2s (2.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
32×associate-/r/_binary64_1388
29×*-un-lft-identity_binary64_1442 flip3-+_binary64_1445 flip-+_binary64_1416
28×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
18×frac-times_binary64_1452
17×add-sqr-sqrt_binary64_1464 times-frac_binary64_1448
16×associate-*r*_binary64_1382
13×add-cube-cbrt_binary64_1477
12×associate-/l*_binary64_1387
10×associate-*l/_binary64_1385
associate-*r/_binary64_1384
div-exp_binary64_1493 cbrt-undiv_binary64_1476 distribute-lft-out_binary64_1393
prod-exp_binary64_1491 cbrt-unprod_binary64_1475
pow1_binary64_1503 associate-/l/_binary64_1389
add-log-exp_binary64_1481 div-inv_binary64_1439 associate-*l*_binary64_1383
frac-2neg_binary64_1453 clear-num_binary64_1441 associate-/r*_binary64_1386
unswap-sqr_binary64_1410
pow-prod-down_binary64_1513 *-commutative_binary64_1373
Counts
4 → 141
Calls

4 calls:

42.0ms
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))))
34.0ms
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
30.0ms
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
29.0ms
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
Compiler

Compiled 11555 to 8168 computations (29.3% saved)

series3.6s (7.8%)

Error
0.0b
Counts
4 → 56
Calls

4 calls:

803.0ms
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))))
650.0ms
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
646.0ms
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
640.0ms
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))
Compiler

Compiled 16692 to 12894 computations (22.8% saved)

simplify258.0ms (0.6%)

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
050169725

prune2.7s (6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh044
Picked011
Done011
Total1976203
Error
0.0b
Counts
203 → 6
Compiler

Compiled 17834 to 12598 computations (29.4% saved)

regimes1.3s (2.8%)

Accuracy

Total 0.1b remaining (95.3%)

Threshold costs 0.1b (95.3%)

Compiler

Compiled 10607 to 7886 computations (25.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02437
12437

end0.0ms (0%)

sample7.0s (15.2%)

Algorithm
intervals
Results
1.0s8000×body128valid
255.0ms8000×pre128true
Compiler

Compiled 3578 to 2659 computations (25.7% saved)

Profiling

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