Details

Time bar (total: 2.6s)

analyze72.0ms (2.7%)

Algorithm
search
Search
TrueOtherFalseIter
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
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
25%21.9%53.2%8
25%14%61%9
28.1%10.9%61%10
31.6%7.4%61%11
33.4%5.7%61%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample17.0ms (0.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify132.0ms (5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0512625

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
0.0b
(+.f64 (*.f64 a a) (*.f64 b b))
0.0b
(*.f64 4 (*.f64 b b))
0.2b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

rewrite28.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64_1480 pow1_binary64_1503
add-cbrt-cube_binary64_1478
add-log-exp_binary64_1481 add-sqr-sqrt_binary64_1464
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
cbrt-unprod_binary64_1475 associate-*l*_binary64_1383 pow-unpow_binary64_1519 pow-prod-down_binary64_1513 prod-exp_binary64_1491 unpow-prod-down_binary64_1521
sum-log_binary64_1533 +-commutative_binary64_1372 flip3-+_binary64_1445 flip-+_binary64_1416
associate-*r*_binary64_1382 pow-exp_binary64_1510 unpow2_binary64_1507 *-commutative_binary64_1373 sqr-pow_binary64_1414 pow-to-exp_binary64_1511 unswap-sqr_binary64_1410 pow-pow_binary64_1514
Counts
4 → 59
Calls

4 calls:

9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
6.0ms
(*.f64 4 (*.f64 b b))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
4.0ms
(+.f64 (*.f64 a a) (*.f64 b b))

series117.0ms (4.4%)

Counts
4 → 12
Calls

4 calls:

49.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
30.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
20.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
18.0ms
(*.f64 4 (*.f64 b b))

simplify76.0ms (2.9%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049801108
149801108

prune77.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh000
Picked101
Done000
Total70272
Error
0b
Counts
72 → 2
Compiler

Compiled 1609 to 767 computations (52.3% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b
(+.f64 (+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
1.5b
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))

rewrite64.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480 pow1_binary64_1503
18×cbrt-unprod_binary64_1475 pow-prod-down_binary64_1513 add-log-exp_binary64_1481 prod-exp_binary64_1491
sum-log_binary64_1533
add-sqr-sqrt_binary64_1464
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
associate-*l*_binary64_1383
associate-*r*_binary64_1382 +-commutative_binary64_1372 *-commutative_binary64_1373 flip3-+_binary64_1445 flip-+_binary64_1416
associate-+l+_binary64_1375 associate-+r+_binary64_1374 unswap-sqr_binary64_1410
Counts
4 → 74
Calls

4 calls:

21.0ms
(+.f64 (+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
17.0ms
(+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
11.0ms
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))
8.0ms
(*.f64 4 (*.f64 b b))

series134.0ms (5.1%)

Counts
4 → 12
Calls

4 calls:

46.0ms
(+.f64 (+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
41.0ms
(+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
28.0ms
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))
18.0ms
(*.f64 4 (*.f64 b b))

simplify63.0ms (2.4%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049661703
149661703

prune116.0ms (4.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done000
Total86288
Error
0b
Counts
88 → 2
Compiler

Compiled 2552 to 1674 computations (34.4% saved)

localize18.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (*.f64 b b))
0.2b
(pow.f64 (/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 a a) (*.f64 b b))))) 2)
1.4b
(*.f64 (*.f64 a a) (*.f64 b b))
39.5b
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 a a) (*.f64 b b)))))

rewrite73.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
85×*-un-lft-identity_binary64_1442
44×unpow-prod-down_binary64_1521
40×times-frac_binary64_1448
38×pow1_binary64_1503
29×distribute-lft-out_binary64_1393
28×add-sqr-sqrt_binary64_1464
27×add-cube-cbrt_binary64_1477
26×add-exp-log_binary64_1480
23×add-cbrt-cube_binary64_1478
17×pow-prod-down_binary64_1513
11×cbrt-unprod_binary64_1475 prod-exp_binary64_1491
associate-/l*_binary64_1387
associate-/r*_binary64_1386 associate-/r/_binary64_1388 pow-plus_binary64_1505 associate-*l*_binary64_1383 add-log-exp_binary64_1481 pow-prod-up_binary64_1512
pow-unpow_binary64_1519 flip3-+_binary64_1445 flip-+_binary64_1416
pow2_binary64_1523 associate-*r*_binary64_1382 pow-exp_binary64_1510 associate-/l/_binary64_1389 div-inv_binary64_1439 *-commutative_binary64_1373 pow-sqr_binary64_1415 div-exp_binary64_1493 unswap-sqr_binary64_1410
cbrt-undiv_binary64_1476 unpow2_binary64_1507 clear-num_binary64_1441 frac-2neg_binary64_1453 sqr-pow_binary64_1414 pow-to-exp_binary64_1511 pow-pow_binary64_1514
Counts
4 → 135
Calls

4 calls:

22.0ms
(pow.f64 (/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 a a) (*.f64 b b))))) 2)
18.0ms
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 a a) (*.f64 b b)))))
10.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
6.0ms
(*.f64 4 (*.f64 b b))

series199.0ms (7.5%)

Counts
4 → 12
Calls

4 calls:

86.0ms
(pow.f64 (/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 a a) (*.f64 b b))))) 2)
71.0ms
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 a a) (*.f64 b b)))))
24.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
18.0ms
(*.f64 4 (*.f64 b b))

simplify113.0ms (4.3%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
050314930

prune316.0ms (12%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1470147
Fresh000
Picked011
Done011
Total1472149
Error
0b
Counts
149 → 2
Compiler

Compiled 6164 to 3692 computations (40.1% saved)

regimes191.0ms (7.2%)

Accuracy

Total 0.0b remaining (59.9%)

Threshold costs 0.0b (59.9%)

Compiler

Compiled 2558 to 1718 computations (32.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03537
13537

end0.0ms (0%)

sample806.0ms (30.5%)

Algorithm
intervals
Results
331.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 399 to 274 computations (31.3% saved)

Profiling

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