Details

Time bar (total: 4.8s)

analyze77.0ms (1.6%)

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)

sample20.0ms (0.4%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify131.0ms (2.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0512625

prune2.0ms (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)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a a) (*.f64 b b))
0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

rewrite89.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
10×pow1_binary64_1503 add-exp-log_binary64_1480
add-cbrt-cube_binary64_1478
add-sqr-sqrt_binary64_1464 add-log-exp_binary64_1481
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
unpow-prod-down_binary64_1521 pow-unpow_binary64_1519 pow-prod-down_binary64_1513 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 associate-*l*_binary64_1383
sum-log_binary64_1533 flip3-+_binary64_1445 flip-+_binary64_1416 +-commutative_binary64_1372
pow-pow_binary64_1514 pow-to-exp_binary64_1511 pow-exp_binary64_1510 unpow2_binary64_1507 sqr-pow_binary64_1414 unswap-sqr_binary64_1410 associate-*r*_binary64_1382 *-commutative_binary64_1373
Counts
4 → 59
Calls

4 calls:

8.0ms
(+.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))
Compiler

Compiled 1523 to 667 computations (56.2% saved)

series709.0ms (14.8%)

Error
0.0b
Counts
4 → 51
Calls

4 calls:

359.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
180.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
95.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
23.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify99.0ms (2.1%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
049051630
149051630

prune103.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh000
Picked011
Done000
Total1083111
Error
0b
Counts
111 → 3
Compiler

Compiled 2195 to 1060 computations (51.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
0.0b
(+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b
(*.f64 4 (*.f64 b b))
3.7b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite171.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
37×pow1_binary64_1503
21×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
18×add-log-exp_binary64_1481
17×pow-prod-down_binary64_1513
11×prod-exp_binary64_1491 cbrt-unprod_binary64_1475
sum-log_binary64_1533
add-sqr-sqrt_binary64_1464
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
pow-prod-up_binary64_1512 pow-plus_binary64_1505 associate-*l*_binary64_1383
pow2_binary64_1523 pow-sqr_binary64_1415 unswap-sqr_binary64_1410 associate-*r*_binary64_1382 *-commutative_binary64_1373 flip3-+_binary64_1445 flip-+_binary64_1416 +-commutative_binary64_1372
associate-+r+_binary64_1374 associate-+l+_binary64_1375
Counts
4 → 75
Calls

4 calls:

24.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
18.0ms
(+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
5.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2592 to 1394 computations (46.2% saved)

series829.0ms (17.4%)

Error
0b
Counts
4 → 45
Calls

4 calls:

374.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
306.0ms
(+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
77.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
25.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2259 to 1840 computations (18.5% saved)

simplify64.0ms (1.3%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049722041
149722041

prune134.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done011
Total1203123
Error
0b
Counts
123 → 3
Compiler

Compiled 3068 to 1741 computations (43.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)
24.4b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6))

rewrite96.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×pow1_binary64_1503 add-exp-log_binary64_1480 add-sqr-sqrt_binary64_1464
add-cbrt-cube_binary64_1478 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
cbrt-prod_binary64_1473
add-log-exp_binary64_1481 unpow-prod-down_binary64_1521
pow-unpow_binary64_1519 pow-prod-down_binary64_1513 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 associate-*l*_binary64_1383
sqr-pow_binary64_1414
pow1/3_binary64_1524 pow-pow_binary64_1514 pow-to-exp_binary64_1511 pow-exp_binary64_1510 unswap-sqr_binary64_1410 associate-*r*_binary64_1382 *-commutative_binary64_1373 sum-log_binary64_1533 flip3-+_binary64_1445 flip-+_binary64_1416 +-commutative_binary64_1372
Counts
4 → 62
Calls

4 calls:

8.0ms
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b)))
5.0ms
(*.f64 4 (*.f64 b b))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)
4.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6))
Compiler

Compiled 1704 to 807 computations (52.6% saved)

series822.0ms (17.2%)

Error
0b
Counts
4 → 60
Calls

4 calls:

361.0ms
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b)))
190.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6))
178.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)
29.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2916 to 2371 computations (18.7% saved)

simplify52.0ms (1.1%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
057272165

prune118.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh000
Picked011
Done022
Total1223125
Error
0b
Counts
125 → 3
Compiler

Compiled 2625 to 1412 computations (46.2% saved)

regimes256.0ms (5.4%)

Accuracy

Total 0.0b remaining (75.3%)

Threshold costs 0.0b (75.3%)

Compiler

Compiled 3511 to 2273 computations (35.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03437
13437

end0.0ms (0%)

sample965.0ms (20.2%)

Algorithm
intervals
Results
342.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 483 to 323 computations (33.1% saved)

Profiling

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