Details

Time bar (total: 852.0ms)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1

sample31.0ms

Algorithm
intervals
Results
9.0ms256×pre80true
6.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
04310
14310

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(*.f64 a (+.f64 (+.f64 b c) d))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_1858
add-sqr-sqrt_binary64_1843 associate-*r*_binary64_1917
add-cbrt-cube_binary64_1830 add-exp-log_binary64_1822 add-cube-cbrt_binary64_1829 associate-*l*_binary64_1918 pow1_binary64_1804 distribute-lft-out_binary64_1902
associate-*r/_binary64_1919
cbrt-unprod_binary64_1827 prod-exp_binary64_1809 *-commutative_binary64_1926 distribute-rgt-in_binary64_1901 unswap-sqr_binary64_1886 distribute-lft-in_binary64_1900 pow-prod-down_binary64_1785 flip3-+_binary64_1856 flip-+_binary64_1883 add-log-exp_binary64_1823
Counts
1 → 24
Calls
1 calls:
8.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

simplify74.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05675312

prune129.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22527
Fresh000
Picked011
Done000
Total22628

Merged error: 0.0b

Counts
28 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
0.1b
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.1b
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.5b
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1_binary64_1804
32×sqrt-pow1_binary64_1839
23×pow-prod-down_binary64_1785
20×associate-*r/_binary64_1919
16×sqrt-div_binary64_1838
15×*-un-lft-identity_binary64_1858
14×add-sqr-sqrt_binary64_1843
12×pow1/2_binary64_1794
10×add-cube-cbrt_binary64_1829 pow-prod-up_binary64_1784
associate-*r*_binary64_1917 flip3-+_binary64_1856 flip-+_binary64_1883
add-cbrt-cube_binary64_1830 add-exp-log_binary64_1822
associate-*l*_binary64_1918
pow-sqr_binary64_1891 sqrt-prod_binary64_1837
frac-times_binary64_1850 swap-sqr_binary64_1885 add-log-exp_binary64_1823
distribute-lft-out_binary64_1902
cbrt-unprod_binary64_1827 prod-exp_binary64_1809 *-commutative_binary64_1926 associate-*l/_binary64_1920 unswap-sqr_binary64_1886
pow2_binary64_1795 sqrt-unprod_binary64_1841 pow-plus_binary64_1799 distribute-rgt-in_binary64_1901 distribute-lft-in_binary64_1900 rem-square-sqrt_binary64_1845
Counts
4 → 107
Calls
4 calls:
8.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
6.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
19.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
174.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
174.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
31.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

simplify51.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050661915

prune21.0ms

Filtered
68 candidates to 119 candidates (-75.0%)

Profiling

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