Details

Time bar (total: 4.1s)

analyze90.0ms (2.2%)

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)

sample26.0ms (0.6%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify143.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

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

rewrite141.0ms (3.5%)

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:

16.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
11.0ms
(*.f64 4 (*.f64 b b))
8.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
7.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 1523 to 667 computations (56.2% saved)

series827.0ms (20.4%)

Error
0b
Counts
4 → 51
Calls

4 calls:

441.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
229.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
82.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
23.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify107.0ms (2.6%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
049051630
149051630

prune114.0ms (2.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1091110
Fresh000
Picked101
Done000
Total1101111
Error
0b
Counts
111 → 1
Compiler

Compiled 2177 to 1047 computations (51.9% saved)

localize21.0ms (0.5%)

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 2 (*.f64 (*.f64 a a) (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
2.7b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite232.0ms (5.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
55×pow1_binary64_1503
39×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
30×pow-prod-down_binary64_1513
24×prod-exp_binary64_1491 cbrt-unprod_binary64_1475
13×add-log-exp_binary64_1481
add-sqr-sqrt_binary64_1464 associate-*l*_binary64_1383
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442 sum-log_binary64_1533
pow-prod-up_binary64_1512 pow-plus_binary64_1505
associate-*r*_binary64_1382 *-commutative_binary64_1373
pow2_binary64_1523 pow-sqr_binary64_1415 unswap-sqr_binary64_1410
flip3-+_binary64_1445 flip-+_binary64_1416 associate-+l+_binary64_1375 +-commutative_binary64_1372
Counts
4 → 89
Calls

4 calls:

42.0ms
(+.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)))
14.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
13.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
6.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2952 to 1549 computations (47.5% saved)

series733.0ms (18%)

Error
0b
Counts
4 → 33
Calls

4 calls:

423.0ms
(+.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)))
130.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
96.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
37.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1875 to 1540 computations (17.9% saved)

simplify107.0ms (2.6%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049801790
149801790

prune162.0ms (4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh000
Picked011
Done000
Total1221123
Error
0b
Counts
123 → 1
Compiler

Compiled 3162 to 1838 computations (41.9% saved)

regimes240.0ms (5.9%)

Accuracy

Total 0.0b remaining (68.9%)

Threshold costs 0.0b (68.9%)

Compiler

Compiled 2461 to 1523 computations (38.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03437
13437

end0.0ms (0%)

sample1.1s (27.2%)

Algorithm
intervals
Results
441.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 348 to 226 computations (35.1% saved)

Profiling

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