Details

Time bar (total: 1.9s)

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)

sample18.0ms (0.9%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify234.0ms (12.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0511729

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)

localize11.0ms (0.6%)

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))

rewrite35.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_1783
25×associate-*l*_binary64_1705
22×times-frac_binary64_1768 *-un-lft-identity_binary64_1762
21×add-cube-cbrt_binary64_1794
20×sqrt-prod_binary64_1777
14×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
12×pow1_binary64_1820
unswap-sqr_binary64_1730 associate-*r*_binary64_1704
add-log-exp_binary64_1798 sqrt-div_binary64_1778
prod-exp_binary64_1808 cbrt-unprod_binary64_1792
flip3--_binary64_1766 pow-prod-down_binary64_1830 flip--_binary64_1737
frac-times_binary64_1772 difference-of-squares_binary64_1731 associate-*r/_binary64_1706 *-commutative_binary64_1695
rem-sqrt-square_binary64_1775 diff-log_binary64_1851 div-inv_binary64_1759 associate-*l/_binary64_1707 cbrt-undiv_binary64_1793 div-exp_binary64_1810 sqrt-pow1_binary64_1779 sub-neg_binary64_1755 pow1/2_binary64_1839
Counts
4 → 99
Calls

4 calls:

13.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
3.0ms
(-.f64 1 (*.f64 v v))

series255.0ms (13.4%)

Counts
4 → 12
Calls

4 calls:

114.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
55.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
48.0ms
(-.f64 1 (*.f64 v v))
37.0ms
(*.f64 3 (*.f64 v v))

simplify57.0ms (3%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
048932084
148932084

prune156.0ms (8.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1101111
Fresh000
Picked101
Done000
Total1111112

Merged error: 0b

Counts
112 → 1
Compiler

Compiled 2894 to 2142 computations (26% 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))

rewrite36.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_1783
25×associate-*l*_binary64_1705
22×times-frac_binary64_1768 *-un-lft-identity_binary64_1762
21×add-cube-cbrt_binary64_1794
20×sqrt-prod_binary64_1777
14×add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797
12×pow1_binary64_1820
unswap-sqr_binary64_1730 associate-*r*_binary64_1704
add-log-exp_binary64_1798 sqrt-div_binary64_1778
prod-exp_binary64_1808 cbrt-unprod_binary64_1792
flip3--_binary64_1766 pow-prod-down_binary64_1830 flip--_binary64_1737
frac-times_binary64_1772 difference-of-squares_binary64_1731 associate-*r/_binary64_1706 *-commutative_binary64_1695
rem-sqrt-square_binary64_1775 diff-log_binary64_1851 div-inv_binary64_1759 associate-*l/_binary64_1707 cbrt-undiv_binary64_1793 div-exp_binary64_1810 sqrt-pow1_binary64_1779 sub-neg_binary64_1755 pow1/2_binary64_1839
Counts
4 → 99
Calls

4 calls:

13.0ms
(*.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))))

series250.0ms (13.2%)

Counts
4 → 12
Calls

4 calls:

111.0ms
(*.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))))
36.0ms
(*.f64 3 (*.f64 v v))

simplify56.0ms (3%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
048932084
148932084

prune196.0ms (10.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done000
Total1111112

Merged error: 0b

Counts
112 → 1
Compiler

Compiled 3782 to 2697 computations (28.7% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05642
15642

end0.0ms (0%)

sample570.0ms (30%)

Algorithm
intervals
Results
391.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 74 to 57 computations (23% saved)

Profiling

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