Details

Time bar (total: 1.8s)

analyze83.0ms (4.7%)

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)

sample18.0ms (1%)

Algorithm
intervals
Results
11.0ms256×body128valid
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify197.0ms (11.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
0504425

prune2.0ms (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)

localize10.0ms (0.6%)

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 (1.7%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64_1797 pow1_binary64_1820
add-cbrt-cube_binary64_1795
add-log-exp_binary64_1798 add-sqr-sqrt_binary64_1783
*-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
pow-prod-down_binary64_1830 prod-exp_binary64_1808 cbrt-unprod_binary64_1792 pow-unpow_binary64_1836 associate-*l*_binary64_1705 unpow-prod-down_binary64_1838
flip3-+_binary64_1765 flip-+_binary64_1736 +-commutative_binary64_1694 sum-log_binary64_1850
sqr-pow_binary64_1734 unpow2_binary64_1824 unswap-sqr_binary64_1730 pow-exp_binary64_1827 pow-pow_binary64_1831 *-commutative_binary64_1695 pow-to-exp_binary64_1828 associate-*r*_binary64_1704
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))
6.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
5.0ms
(+.f64 (*.f64 a a) (*.f64 b b))

series214.0ms (12.1%)

Counts
4 → 12
Calls

4 calls:

92.0ms
(+.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)
37.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
35.0ms
(*.f64 4 (*.f64 b b))

simplify52.0ms (3%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049311108
149311108

prune74.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh000
Picked011
Done000
Total70272

Merged error: 0b

Counts
72 → 2
Compiler

Compiled 1576 to 743 computations (52.9% saved)

localize18.0ms (1%)

Local error

Found 3 expressions with local error:

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))
2.2b
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))

rewrite47.0ms (2.7%)

Algorithm
rewrite-expression-head
Rules
29×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797 pow1_binary64_1820
18×pow-prod-down_binary64_1830 prod-exp_binary64_1808 cbrt-unprod_binary64_1792
12×add-log-exp_binary64_1798
sum-log_binary64_1850
add-sqr-sqrt_binary64_1783
*-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794 associate-*l*_binary64_1705
*-commutative_binary64_1695 associate-*r*_binary64_1704
flip3-+_binary64_1765 flip-+_binary64_1736 unswap-sqr_binary64_1730 +-commutative_binary64_1694 associate-+l+_binary64_1697
Counts
3 → 61
Calls

3 calls:

23.0ms
(+.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)))
6.0ms
(*.f64 4 (*.f64 b b))

series178.0ms (10.1%)

Counts
3 → 9
Calls

3 calls:

93.0ms
(+.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)))
50.0ms
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))
34.0ms
(*.f64 4 (*.f64 b b))

simplify71.0ms (4%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049011194
149011194

prune92.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done011
Total70272

Merged error: 0b

Counts
72 → 2
Compiler

Compiled 1981 to 1322 computations (33.3% saved)

regimes55.0ms (3.1%)

Compiler

Compiled 332 to 250 computations (24.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03537
13537

end0.0ms (0%)

sample617.0ms (35%)

Algorithm
intervals
Results
371.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 85 to 65 computations (23.5% saved)

Profiling

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