Details

Time bar (total: 4.6s)

analyze311.0ms (6.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0509250
022
122
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)

sample30.0ms (0.7%)

Algorithm
intervals
Results
19.0ms256×body128valid
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify43.0ms (0.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
0512625

prune4.0ms (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)

rewrite107.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
10×pow1_binary64_2526 add-exp-log_binary64_2503
add-cbrt-cube_binary64_2501
add-sqr-sqrt_binary64_2487 add-log-exp_binary64_2504
add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
unpow-prod-down_binary64_2544 pow-unpow_binary64_2542 pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 associate-*l*_binary64_2406
sum-log_binary64_2556 flip3-+_binary64_2468 flip-+_binary64_2439 +-commutative_binary64_2395
pow-pow_binary64_2537 pow-to-exp_binary64_2534 pow-exp_binary64_2533 unpow2_binary64_2530 sqr-pow_binary64_2437 unswap-sqr_binary64_2433 associate-*r*_binary64_2405 *-commutative_binary64_2396
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)

series987.0ms (21.3%)

Error
0.0b
Counts
4 → 51
Calls

4 calls:

505.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
245.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
138.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
28.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify110.0ms (2.4%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
049051630
149051630

prune124.0ms (2.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1091110
Fresh000
Picked101
Done000
Total1101111
Error
0.0b
Counts
111 → 1
Compiler

Compiled 2177 to 1047 computations (51.9% saved)

localize27.0ms (0.6%)

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))
3.9b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite218.0ms (4.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
37×pow1_binary64_2526
21×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
18×add-log-exp_binary64_2504
17×pow-prod-down_binary64_2536
11×prod-exp_binary64_2514 cbrt-unprod_binary64_2498
sum-log_binary64_2556
add-sqr-sqrt_binary64_2487
add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
pow-prod-up_binary64_2535 pow-plus_binary64_2528 associate-*l*_binary64_2406
pow2_binary64_2546 pow-sqr_binary64_2438 unswap-sqr_binary64_2433 associate-*r*_binary64_2405 *-commutative_binary64_2396 flip3-+_binary64_2468 flip-+_binary64_2439 +-commutative_binary64_2395
associate-+r+_binary64_2397 associate-+l+_binary64_2398
Counts
4 → 75
Calls

4 calls:

36.0ms
(+.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)))
19.0ms
(+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
12.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
6.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2592 to 1394 computations (46.2% saved)

series998.0ms (21.5%)

Error
0.0b
Counts
4 → 45
Calls

4 calls:

443.0ms
(+.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)))
377.0ms
(+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
83.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
35.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2259 to 1840 computations (18.5% saved)

simplify77.0ms (1.7%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049722041
149722041

prune175.0ms (3.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done000
Total1201121
Error
0.0b
Counts
121 → 1
Compiler

Compiled 3050 to 1728 computations (43.3% saved)

regimes279.0ms (6%)

Accuracy

Total 0.0b remaining (44.8%)

Threshold costs 0.0b (44.8%)

Compiler

Compiled 2438 to 1693 computations (30.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03337
13337

end0.0ms (0%)

sample1.1s (24.3%)

Algorithm
intervals
Results
451.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 372 to 265 computations (28.8% saved)

Profiling

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