Details

Time bar (total: 6.2s)

analyze397.0ms (6.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0501292
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%68.7%6.3%6
25%56.2%18.8%7
25%48.4%26.6%8
25%35.1%39.9%9
28.1%18.3%53.6%10
31.6%12.3%56.1%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 32 to 22 computations (31.3% saved)

sample41.0ms (0.7%)

Algorithm
intervals
Results
26.0ms256×body128valid
Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify77.0ms (1.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
0502946

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 62 to 42 computations (32.3% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))))))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
0.4b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite228.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
15×pow1_binary64_1844 add-exp-log_binary64_1821
14×add-cbrt-cube_binary64_1819
10×add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
add-cube-cbrt_binary64_1818
associate-*r*_binary64_1723
pow-prod-down_binary64_1854 prod-exp_binary64_1832 add-log-exp_binary64_1822 cbrt-unprod_binary64_1816
distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732 associate-*r/_binary64_1725
unpow-prod-down_binary64_1862 pow-unpow_binary64_1860
unswap-sqr_binary64_1751 sub-neg_binary64_1776 cancel-sign-sub-inv_binary64_1749 associate-*l*_binary64_1724 *-commutative_binary64_1714 flip3-+_binary64_1786 flip-+_binary64_1757 associate-+r+_binary64_1715
flip3--_binary64_1787 flip--_binary64_1758 pow-pow_binary64_1855 pow-to-exp_binary64_1852 pow-exp_binary64_1851 unpow2_binary64_1848 sqr-pow_binary64_1755 distribute-lft-out_binary64_1734 sum-log_binary64_1874 +-commutative_binary64_1713
Counts
4 → 80
Calls

4 calls:

14.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))))))
9.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
8.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series1.0s (16.8%)

Error
0.0b
Counts
4 → 50
Calls

4 calls:

514.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))))))
258.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
114.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
59.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
Compiler

Compiled 3549 to 2674 computations (24.7% saved)

simplify55.0ms (0.9%)

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
053402516

prune255.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1282130
Fresh000
Picked011
Done000
Total1283131
Error
0.0b
Counts
131 → 3
Compiler

Compiled 4414 to 2414 computations (45.3% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.4b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
0.5b
(*.f64 a (*.f64 b b))
1.1b
(*.f64 a (*.f64 a (*.f64 b b)))

rewrite288.0ms (4.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
15×pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816
11×add-sqr-sqrt_binary64_1805
10×*-un-lft-identity_binary64_1783
associate-*r*_binary64_1723
add-cube-cbrt_binary64_1818 associate-*l*_binary64_1724
add-log-exp_binary64_1822 *-commutative_binary64_1714 associate-*r/_binary64_1725
unswap-sqr_binary64_1751 distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732
sub-neg_binary64_1776 cancel-sign-sub-inv_binary64_1749
flip3--_binary64_1787 flip--_binary64_1758 flip3-+_binary64_1786 flip-+_binary64_1757 distribute-lft-out_binary64_1734
Counts
4 → 89
Calls

4 calls:

12.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
12.0ms
(*.f64 a (*.f64 b b))
11.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series555.0ms (8.9%)

Error
0.0b
Counts
4 → 26
Calls

4 calls:

172.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
123.0ms
(*.f64 a (*.f64 b b))
112.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
86.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
Compiler

Compiled 2817 to 2044 computations (27.4% saved)

simplify106.0ms (1.7%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
051151236

prune277.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done011
Total1153118
Error
0.0b
Counts
118 → 3
Compiler

Compiled 4793 to 2805 computations (41.5% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (pow.f64 a 3) (+.f64 a 4))

rewrite59.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_1805 associate-*l*_binary64_1724
*-un-lft-identity_binary64_1783
add-exp-log_binary64_1821
add-cube-cbrt_binary64_1818
unpow-prod-down_binary64_1862 unswap-sqr_binary64_1751 cube-prod_binary64_1811 associate-*r*_binary64_1723
prod-exp_binary64_1832 add-cbrt-cube_binary64_1819
sqr-pow_binary64_1755 associate-*r/_binary64_1725
pow1_binary64_1844 pow-to-exp_binary64_1852 pow-exp_binary64_1851 add-log-exp_binary64_1822 cbrt-unprod_binary64_1816 distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732 flip3-+_binary64_1786 flip-+_binary64_1757 unpow3_binary64_1849 cube-mult_binary64_1813 distribute-lft-out_binary64_1734 *-commutative_binary64_1714
Counts
1 → 36
Calls

1 calls:

16.0ms
(*.f64 (pow.f64 a 3) (+.f64 a 4))
Compiler

Compiled 576 to 443 computations (23.1% saved)

series68.0ms (1.1%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

63.0ms
(*.f64 (pow.f64 a 3) (+.f64 a 4))
Compiler

Compiled 133 to 129 computations (3% saved)

simplify80.0ms (1.3%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05198491

prune54.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh000
Picked011
Done022
Total42345
Error
0.0b
Counts
45 → 3
Compiler

Compiled 556 to 434 computations (21.9% saved)

regimes494.0ms (7.9%)

Accuracy

Total 0.0b remaining (69.3%)

Threshold costs 0.0b (69.3%)

Compiler

Compiled 5133 to 3698 computations (28% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08158
18158

end0.0ms (0%)

sample2.1s (33.4%)

Algorithm
intervals
Results
738.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 940 to 684 computations (27.2% saved)

Profiling

Loading profile data...