Details

Time bar (total: 3.8s)

analyze279.0ms (7.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0484328
1484328
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 17 computations (19% saved)

sample22.0ms (0.6%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify193.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (187.0ms)

IterNodesCost
0484328
1484328

prune10.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite185.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
20×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
18×add-sqr-sqrt_binary64_1805
14×sqrt-div_binary64_1800
13×flip3--_binary64_1787 flip--_binary64_1758
12×pow1_binary64_1844 *-un-lft-identity_binary64_1783 associate-*r/_binary64_1725
11×add-cube-cbrt_binary64_1818
associate-*r*_binary64_1723
frac-times_binary64_1793 associate-/r/_binary64_1729
prod-exp_binary64_1832 cbrt-unprod_binary64_1816 sqrt-prod_binary64_1799
associate-*l*_binary64_1724
pow-prod-down_binary64_1854 add-log-exp_binary64_1822 associate-*l/_binary64_1726
unswap-sqr_binary64_1751 div-exp_binary64_1834 cbrt-undiv_binary64_1817 times-frac_binary64_1789 associate-/l*_binary64_1728
*-commutative_binary64_1714 difference-of-squares_binary64_1752
frac-2neg_binary64_1794 clear-num_binary64_1782 div-inv_binary64_1780 associate-/r*_binary64_1727 pow1/2_binary64_1863 sqrt-pow1_binary64_1801 rem-sqrt-square_binary64_1796
Counts
4 → 97
Calls

4 calls:

12.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)
3.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
Compiler

Compiled 3000 to 1909 computations (36.4% saved)

series250.0ms (6.6%)

Error
0b
Counts
4 → 21
Calls

4 calls:

100.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
57.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
34.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
27.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1345 to 1161 computations (13.7% saved)

simplify92.0ms (2.4%)

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049432843
149432843

prune163.0ms (4.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1162118
Fresh101
Picked101
Done000
Total1182120
Error
0b
Counts
120 → 2
Compiler

Compiled 3097 to 2103 computations (32.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(/.f64 4/3 PI.f64)

rewrite145.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
24×add-sqr-sqrt_binary64_1805
18×*-un-lft-identity_binary64_1783
17×add-cube-cbrt_binary64_1818
13×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
12×pow1_binary64_1844
times-frac_binary64_1789 associate-*r*_binary64_1723
sqrt-div_binary64_1800
flip3--_binary64_1787 flip--_binary64_1758 sqrt-prod_binary64_1799
associate-*l*_binary64_1724
add-log-exp_binary64_1822 pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 frac-times_binary64_1793
associate-/l*_binary64_1728 associate-/r*_binary64_1727 unswap-sqr_binary64_1751
*-commutative_binary64_1714 associate-*l/_binary64_1726 associate-*r/_binary64_1725 difference-of-squares_binary64_1752
div-exp_binary64_1834 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 clear-num_binary64_1782 div-inv_binary64_1780 pow1/2_binary64_1863 sqrt-pow1_binary64_1801 rem-sqrt-square_binary64_1796
Counts
4 → 93
Calls

4 calls:

9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)
3.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
3.0ms
(/.f64 4/3 PI.f64)
Compiler

Compiled 2574 to 1647 computations (36% saved)

series143.0ms (3.8%)

Error
0b
Counts
4 → 15
Calls

4 calls:

60.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
37.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
28.0ms
(*.f64 (*.f64 v v) 6)
0.0ms
(/.f64 4/3 PI.f64)
Compiler

Compiled 833 to 725 computations (13% saved)

simplify113.0ms (3%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
049201875
149201875

prune130.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done000
Total1082110
Error
0b
Counts
110 → 2
Compiler

Compiled 2646 to 1768 computations (33.2% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 4/3 (*.f64 PI.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))))
0.1b
(*.f64 (pow.f64 v 4) 36)
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))

rewrite274.0ms (7.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
33×add-exp-log_binary64_1821
30×add-cbrt-cube_binary64_1819
20×add-sqr-sqrt_binary64_1805
14×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
11×prod-exp_binary64_1832
pow1_binary64_1844 cbrt-unprod_binary64_1816 times-frac_binary64_1789
div-exp_binary64_1834 cbrt-undiv_binary64_1817 sqrt-div_binary64_1800 associate-/l/_binary64_1730 associate-*l*_binary64_1724
associate-/r*_binary64_1727
sqrt-prod_binary64_1799 flip3--_binary64_1787 flip--_binary64_1758 associate-*r*_binary64_1723
add-log-exp_binary64_1822 frac-times_binary64_1793 associate-/l*_binary64_1728 unswap-sqr_binary64_1751 unpow-prod-down_binary64_1862
associate-*r/_binary64_1725 associate-/r/_binary64_1729 pow-prod-down_binary64_1854
frac-2neg_binary64_1794 clear-num_binary64_1782 div-inv_binary64_1780 associate-*l/_binary64_1726 *-commutative_binary64_1714 sqr-pow_binary64_1755
flip3-+_binary64_1786 flip-+_binary64_1757 pow-to-exp_binary64_1852 pow-exp_binary64_1851
Counts
4 → 107
Calls

4 calls:

18.0ms
(/.f64 4/3 (*.f64 PI.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))))
13.0ms
(/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (pow.f64 v 4) 36)
6.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 4243 to 3051 computations (28.1% saved)

series279.0ms (7.4%)

Error
0b
Counts
4 → 18
Calls

4 calls:

111.0ms
(/.f64 4/3 (*.f64 PI.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))))
75.0ms
(/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))
36.0ms
(*.f64 (pow.f64 v 4) 36)
28.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1350 to 1155 computations (14.4% saved)

simplify100.0ms (2.7%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049353465
149353465

prune211.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done011
Total1252127
Error
0b
Counts
127 → 2
Compiler

Compiled 4130 to 2997 computations (27.4% saved)

regimes151.0ms (4%)

Accuracy

Total 0.0b remaining (98.2%)

Threshold costs 0.0b (98.2%)

Compiler

Compiled 2056 to 1580 computations (23.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05328
15328

end0.0ms (0%)

sample992.0ms (26.3%)

Algorithm
intervals
Results
410.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 500 to 384 computations (23.2% saved)

Profiling

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