Details

Time bar (total: 2.0s)

analyze5.0ms (0.3%)

Algorithm
search
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 20 to 16 computations (20% saved)

sample24.0ms (1.2%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify239.0ms (12.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0491029
1491029

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 38 to 30 computations (21.1% saved)

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (*.f64 v v))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.1b
(*.f64 3 (*.f64 v v))

rewrite37.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_1821
25×associate-*l*_binary64_1740
22×*-un-lft-identity_binary64_1799 times-frac_binary64_1805
21×add-cube-cbrt_binary64_1834
20×sqrt-prod_binary64_1815
14×add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837
12×pow1_binary64_1860
unswap-sqr_binary64_1767 associate-*r*_binary64_1739
sqrt-div_binary64_1816 add-log-exp_binary64_1838
prod-exp_binary64_1848 cbrt-unprod_binary64_1832
flip--_binary64_1774 flip3--_binary64_1803 pow-prod-down_binary64_1870
associate-*r/_binary64_1741 difference-of-squares_binary64_1768 *-commutative_binary64_1730 frac-times_binary64_1809
sub-neg_binary64_1792 div-exp_binary64_1850 pow1/2_binary64_1879 diff-log_binary64_1891 cbrt-undiv_binary64_1833 sqrt-pow1_binary64_1817 div-inv_binary64_1796 cancel-sign-sub-inv_binary64_1765 rem-sqrt-square_binary64_1812 associate-*l/_binary64_1742
Counts
4 → 100
Calls

4 calls:

14.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
7.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(-.f64 1 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series243.0ms (12.4%)

Counts
4 → 12
Calls

4 calls:

107.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
51.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
51.0ms
(-.f64 1 (*.f64 v v))
34.0ms
(*.f64 3 (*.f64 v v))

simplify72.0ms (3.7%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049732090
149732090

prune165.0ms (8.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1111112
Fresh000
Picked101
Done000
Total1121113

Merged error: 0b

Counts
113 → 1
Compiler

Compiled 3021 to 2239 computations (25.9% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (*.f64 v v))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.1b
(*.f64 3 (*.f64 v v))

rewrite39.0ms (2%)

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_1821
25×associate-*l*_binary64_1740
22×*-un-lft-identity_binary64_1799 times-frac_binary64_1805
21×add-cube-cbrt_binary64_1834
20×sqrt-prod_binary64_1815
14×add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837
12×pow1_binary64_1860
unswap-sqr_binary64_1767 associate-*r*_binary64_1739
sqrt-div_binary64_1816 add-log-exp_binary64_1838
prod-exp_binary64_1848 cbrt-unprod_binary64_1832
flip--_binary64_1774 flip3--_binary64_1803 pow-prod-down_binary64_1870
associate-*r/_binary64_1741 difference-of-squares_binary64_1768 *-commutative_binary64_1730 frac-times_binary64_1809
sub-neg_binary64_1792 div-exp_binary64_1850 pow1/2_binary64_1879 diff-log_binary64_1891 cbrt-undiv_binary64_1833 sqrt-pow1_binary64_1817 div-inv_binary64_1796 cancel-sign-sub-inv_binary64_1765 rem-sqrt-square_binary64_1812 associate-*l/_binary64_1742
Counts
4 → 100
Calls

4 calls:

14.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(-.f64 1 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series257.0ms (13.1%)

Counts
4 → 12
Calls

4 calls:

115.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
52.0ms
(-.f64 1 (*.f64 v v))
51.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
38.0ms
(*.f64 3 (*.f64 v v))

simplify76.0ms (3.9%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049732090
149732090

prune197.0ms (10%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done000
Total1121113

Merged error: 0b

Counts
113 → 1
Compiler

Compiled 3810 to 2715 computations (28.7% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05642
15642

end0.0ms (0%)

sample578.0ms (29.4%)

Algorithm
intervals
Results
399.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 74 to 57 computations (23% saved)

Profiling

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