Details

Time bar (total: 1.9s)

analyze82.0ms (4.4%)

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×body80valid
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify65.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0504525

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.5%)

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)

rewrite31.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64_1541 pow1_binary64_1519
add-cbrt-cube_binary64_1549
add-sqr-sqrt_binary64_1562 add-log-exp_binary64_1542
add-cube-cbrt_binary64_1548 *-un-lft-identity_binary64_1577
associate-*l*_binary64_1637 prod-exp_binary64_1524 pow-prod-down_binary64_1500 unpow-prod-down_binary64_1508 cbrt-unprod_binary64_1546 pow-unpow_binary64_1506
sum-log_binary64_1487 flip3-+_binary64_1575 flip-+_binary64_1602 +-commutative_binary64_1644
sqr-pow_binary64_1609 *-commutative_binary64_1645 unpow2_binary64_1516 associate-*r*_binary64_1636 pow-exp_binary64_1497 pow-pow_binary64_1501 unswap-sqr_binary64_1605 pow-to-exp_binary64_1498
Counts
4 → 59
Calls

4 calls:

10.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
7.0ms
(*.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))

series234.0ms (12.4%)

Counts
4 → 12
Calls

4 calls:

92.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
56.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
44.0ms
(*.f64 4 (*.f64 b b))
42.0ms
(+.f64 (*.f64 a a) (*.f64 b b))

simplify127.0ms (6.7%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
049671108
149671108

prune76.0ms (4%)

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)

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))) (+.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))
1.4b
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))

rewrite72.0ms (3.8%)

Algorithm
rewrite-expression-head
Rules
30×add-exp-log_binary64_1541 pow1_binary64_1519 add-cbrt-cube_binary64_1549
18×prod-exp_binary64_1524 pow-prod-down_binary64_1500 add-log-exp_binary64_1542 cbrt-unprod_binary64_1546
sum-log_binary64_1487
add-sqr-sqrt_binary64_1562
add-cube-cbrt_binary64_1548 *-un-lft-identity_binary64_1577
associate-*l*_binary64_1637
*-commutative_binary64_1645 associate-*r*_binary64_1636 flip3-+_binary64_1575 flip-+_binary64_1602 +-commutative_binary64_1644
unswap-sqr_binary64_1605 associate-+l+_binary64_1629 associate-+r+_binary64_1628
Counts
4 → 74
Calls

4 calls:

27.0ms
(+.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)))
21.0ms
(+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
13.0ms
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))
9.0ms
(*.f64 4 (*.f64 b b))

series276.0ms (14.7%)

Counts
4 → 12
Calls

4 calls:

99.0ms
(+.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)))
76.0ms
(+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
61.0ms
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))
40.0ms
(*.f64 4 (*.f64 b b))

simplify65.0ms (3.5%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051581710

prune120.0ms (6.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done011
Total86288

Merged error: 0b

Counts
88 → 2
Compiler

Compiled 2526 to 1651 computations (34.6% saved)

regimes55.0ms (2.9%)

Compiler

Compiled 332 to 250 computations (24.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03637
13637

end0.0ms (0%)

sample627.0ms (33.3%)

Algorithm
intervals
Results
383.0ms8000×body80valid
0.0msbody80invalid
Compiler

Compiled 85 to 65 computations (23.5% saved)

Profiling

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