Details

Time bar (total: 3.0s)

analyze6.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%74.9%25.1%0
0%74.9%25.1%1
37.5%37.5%25.1%2
37.5%18.7%43.8%3
46.8%9.4%43.8%4
51.5%4.7%43.8%5
51.5%2.3%46.1%6
52.7%1.2%46.1%7
53.3%0.6%46.1%8
53.3%0.3%46.4%9
53.4%0.1%46.4%10
53.5%0.1%46.4%11
53.5%0%46.5%12
53.5%0%46.5%13
53.5%0%46.5%14

sample34.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
3.0ms256×pre80true

simplify741.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (258.0ms)

IterNodesCost
0499747
1499747

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
0.1b
(*.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
0.1b
(*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b
(sqrt.f64 PI.f64)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
119×add-exp-log_binary64_8921
76×prod-exp_binary64_8904
75×add-cbrt-cube_binary64_8929
48×associate-*l*_binary64_9017
46×add-sqr-sqrt_binary64_8942
44×cbrt-unprod_binary64_8926
40×times-frac_binary64_8952
36×pow1_binary64_8899
35×*-un-lft-identity_binary64_8957
33×add-cube-cbrt_binary64_8928
22×pow-prod-down_binary64_8880
15×associate-*l/_binary64_9019 div-exp_binary64_8906
14×sqrt-prod_binary64_8936
12×frac-add_binary64_8947
cbrt-undiv_binary64_8927
1-exp_binary64_8917 flip3-+_binary64_8955 rec-exp_binary64_8905 flip-+_binary64_8982 frac-times_binary64_8949 associate-*r/_binary64_9018
associate-*r*_binary64_9016 unswap-sqr_binary64_8985
add-log-exp_binary64_8922
*-commutative_binary64_9025 div-inv_binary64_8958
sqrt-pow1_binary64_8938 distribute-rgt-in_binary64_9000 rem-sqrt-square_binary64_8945 distribute-lft-in_binary64_8999 pow1/2_binary64_8889
Counts
4 → 169
Calls
4 calls:
38.0ms
(*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
34.0ms
(*.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
15.0ms
(*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
2.0ms
(sqrt.f64 PI.f64)

series1.7s

Counts
4 → 10
Calls
4 calls:
730.0ms
(*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
305.0ms
(*.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
712.0ms
(*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms
(sqrt.f64 PI.f64)
Iterations

Useful iterations: 0 (265.0ms)

IterNodesCost
01312079
11312079
049831953
149831953
01312079
11312079
049831953
149831953
055492016
05313138
15313138
051612331
05313138
15313138
051612331
050312340
02212217
12212217
048681953
148681953
02212217
12212217
048681953
148681953
049892016
149892016

simplify142.0ms

Counts
179 → 179
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0496012031
1496012031

prune168.0ms

Filtered
114 candidates to 179 candidates (-57.0%)

Profiling

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