Details

Time bar (total: 1.9s)

analyze80.0ms (4.3%)

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)

sample19.0ms (1%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify199.0ms (10.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
0512625

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize12.0ms (0.7%)

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)

rewrite30.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
10×pow1_binary64_1860 add-exp-log_binary64_1837
add-cbrt-cube_binary64_1835
add-sqr-sqrt_binary64_1821 add-log-exp_binary64_1838
add-cube-cbrt_binary64_1834 *-un-lft-identity_binary64_1799
prod-exp_binary64_1848 pow-unpow_binary64_1876 unpow-prod-down_binary64_1878 associate-*l*_binary64_1740 cbrt-unprod_binary64_1832 pow-prod-down_binary64_1870
sum-log_binary64_1890 +-commutative_binary64_1729 flip3-+_binary64_1802 flip-+_binary64_1773
unpow2_binary64_1864 unswap-sqr_binary64_1767 pow-to-exp_binary64_1868 pow-exp_binary64_1867 sqr-pow_binary64_1771 *-commutative_binary64_1730 pow-pow_binary64_1871 associate-*r*_binary64_1739
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))

series202.0ms (10.7%)

Counts
4 → 12
Calls

4 calls:

81.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
50.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
36.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
35.0ms
(*.f64 4 (*.f64 b b))

simplify71.0ms (3.8%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049231108
149231108

prune117.0ms (6.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh000
Picked011
Done000
Total70272

Merged error: 0.0b

Counts
72 → 2
Compiler

Compiled 2421 to 1277 computations (47.3% saved)

localize15.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(+.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))
2.8b
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))

rewrite58.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
30×pow1_binary64_1860 add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837
18×prod-exp_binary64_1848 cbrt-unprod_binary64_1832 pow-prod-down_binary64_1870
15×add-log-exp_binary64_1838
*-un-lft-identity_binary64_1799
sum-log_binary64_1890
add-sqr-sqrt_binary64_1821
add-cube-cbrt_binary64_1834
associate-*l*_binary64_1740
+-commutative_binary64_1729 unpow-prod-down_binary64_1878 *-commutative_binary64_1730 distribute-lft-out_binary64_1750 flip3-+_binary64_1802 flip-+_binary64_1773 associate-*r*_binary64_1739
unswap-sqr_binary64_1767 associate-+l+_binary64_1732
Counts
4 → 74
Calls

4 calls:

25.0ms
(+.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)))
11.0ms
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))
8.0ms
(+.f64 (pow.f64 b 4) (pow.f64 a 4))
6.0ms
(*.f64 4 (*.f64 b b))

series230.0ms (12.3%)

Counts
4 → 12
Calls

4 calls:

85.0ms
(+.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)))
60.0ms
(+.f64 (pow.f64 b 4) (pow.f64 a 4))
51.0ms
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))
35.0ms
(*.f64 4 (*.f64 b b))

simplify79.0ms (4.2%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049911404
149911404

prune113.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done011
Total86288

Merged error: 0.0b

Counts
88 → 2
Compiler

Compiled 2451 to 1608 computations (34.4% saved)

regimes54.0ms (2.9%)

Compiler

Compiled 332 to 250 computations (24.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03537
13537

end0.0ms (0%)

sample589.0ms (31.4%)

Algorithm
intervals
Results
354.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 85 to 65 computations (23.5% saved)

Profiling

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