Details

Time bar (total: 18.3s)

analyze386.0ms (2.1%)

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)

sample45.0ms (0.2%)

Algorithm
intervals
Results
29.0ms256×body128valid
Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify105.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
0502946

prune8.0ms (0%)

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)

localize39.0ms (0.2%)

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)
0.7b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite482.0ms (2.6%)

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:

17.0ms
(+.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))))))
16.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
16.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
9.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 3109 to 1674 computations (46.2% saved)

series1.8s (9.9%)

Error
0.0b
Counts
4 → 50
Calls

4 calls:

902.0ms
(+.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))))))
501.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
223.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
125.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
Compiler

Compiled 2738 to 2122 computations (22.5% saved)

simplify50.0ms (0.3%)

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
053402516

prune202.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1273130
Fresh000
Picked101
Done000
Total1283131
Error
0.0b
Counts
131 → 3
Compiler

Compiled 2909 to 1603 computations (44.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 2 (*.f64 b b))
0.0b
(+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
0.7b
(*.f64 (*.f64 b b) (-.f64 4 (*.f64 a 12)))
1.9b
(*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) (*.f64 4 (+.f64 1 a))))

rewrite287.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
10×add-sqr-sqrt_binary64_1805
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816
add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 associate-*r*_binary64_1723
add-log-exp_binary64_1822
associate-*l*_binary64_1724
distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732 associate-*r/_binary64_1725
unswap-sqr_binary64_1751 *-commutative_binary64_1714
flip3-+_binary64_1786 flip-+_binary64_1757 sub-neg_binary64_1776 cancel-sign-sub-inv_binary64_1749 associate-+l+_binary64_1716
flip3--_binary64_1787 flip--_binary64_1758 sum-log_binary64_1874 +-commutative_binary64_1713
Counts
4 → 80
Calls

4 calls:

13.0ms
(+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
11.0ms
(*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) (*.f64 4 (+.f64 1 a))))
8.0ms
(*.f64 (*.f64 b b) (-.f64 4 (*.f64 a 12)))
6.0ms
(*.f64 2 (*.f64 b b))
Compiler

Compiled 3372 to 2150 computations (36.2% saved)

series1.1s (5.9%)

Error
0.0b
Counts
4 → 38
Calls

4 calls:

536.0ms
(+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
302.0ms
(*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) (*.f64 4 (+.f64 1 a))))
154.0ms
(*.f64 (*.f64 b b) (-.f64 4 (*.f64 a 12)))
44.0ms
(*.f64 2 (*.f64 b b))
Compiler

Compiled 2605 to 2089 computations (19.8% saved)

simplify63.0ms (0.3%)

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
055362185

prune222.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1180118
Fresh022
Picked011
Done000
Total1183121
Error
0.0b
Counts
121 → 3
Compiler

Compiled 2856 to 1864 computations (34.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a))))) (*.f64 (*.f64 a (*.f64 b b)) 12))
0.1b
(*.f64 (*.f64 a (*.f64 b b)) 12)
0.8b
(*.f64 a (*.f64 b b))
1.3b
(*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))

rewrite398.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
23×pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
12×pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816
add-sqr-sqrt_binary64_1805
add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 associate-*r*_binary64_1723
add-log-exp_binary64_1822
associate-*l*_binary64_1724
*-commutative_binary64_1714
unswap-sqr_binary64_1751 distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732 associate-*r/_binary64_1725 associate--l+_binary64_1720
flip3-+_binary64_1786 flip-+_binary64_1757 diff-log_binary64_1875 flip3--_binary64_1787 sub-neg_binary64_1776 flip--_binary64_1758 cancel-sign-sub-inv_binary64_1749
Counts
4 → 77
Calls

4 calls:

12.0ms
(-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a))))) (*.f64 (*.f64 a (*.f64 b b)) 12))
11.0ms
(*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))
7.0ms
(*.f64 (*.f64 a (*.f64 b b)) 12)
5.0ms
(*.f64 a (*.f64 b b))
Compiler

Compiled 2514 to 1142 computations (54.6% saved)

series1.2s (6.5%)

Error
0.0b
Counts
4 → 37
Calls

4 calls:

646.0ms
(-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a))))) (*.f64 (*.f64 a (*.f64 b b)) 12))
299.0ms
(*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))
111.0ms
(*.f64 (*.f64 a (*.f64 b b)) 12)
82.0ms
(*.f64 a (*.f64 b b))
Compiler

Compiled 1702 to 1342 computations (21.2% saved)

simplify82.0ms (0.4%)

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
054681980

prune265.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done011
Total1143117
Error
0.0b
Counts
117 → 3
Compiler

Compiled 1995 to 1048 computations (47.5% saved)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b
(*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b))
0.7b
(*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b))
3.2b
(-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) 16)))
32.0b
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite890.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 add-sqr-sqrt_binary64_1805
14×pow1_binary64_1844 add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
times-frac_binary64_1789
add-log-exp_binary64_1822 pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 associate-*l*_binary64_1724
flip3--_binary64_1787 flip--_binary64_1758
associate-*l/_binary64_1726
associate-/l*_binary64_1728 associate-/r*_binary64_1727
associate-/l/_binary64_1730 associate-/r/_binary64_1729 unswap-sqr_binary64_1751 associate-*r*_binary64_1723 *-commutative_binary64_1714
div-exp_binary64_1834 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 div-sub_binary64_1788 clear-num_binary64_1782 div-inv_binary64_1780 diff-log_binary64_1875 sub-neg_binary64_1776 cancel-sign-sub-inv_binary64_1749
Counts
4 → 86
Calls

4 calls:

30.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
16.0ms
(-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) 16)))
16.0ms
(*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b))
15.0ms
(*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b))
Compiler

Compiled 9088 to 4841 computations (46.7% saved)

series7.2s (39.1%)

Error
0.0b
Counts
4 → 49
Calls

4 calls:

5.8s
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
658.0ms
(-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))) 16)))
263.0ms
(*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b))
263.0ms
(*.f64 (-.f64 1 (*.f64 3 a)) (*.f64 b b))
Compiler

Compiled 9775 to 7199 computations (26.4% saved)

simplify112.0ms (0.6%)

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049939963
149939963

prune611.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh000
Picked011
Done022
Total1353138
Error
0.0b
Counts
138 → 3
Compiler

Compiled 10494 to 5832 computations (44.4% saved)

regimes1.8s (9.7%)

Accuracy

Total 0.0b remaining (31.8%)

Threshold costs 0.0b (31.8%)

Compiler

Compiled 26004 to 18518 computations (28.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06161
16161

end3.0ms (0%)

Compiler

Compiled 41 to 34 computations (17.1% saved)

sample936.0ms (5.1%)

Algorithm
intervals
Results
523.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 215 to 155 computations (27.9% saved)

Profiling

Loading profile data...