Details

Time bar (total: 2.5s)

analyze1.8s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
3.1%96.5%0.3%9
4.7%95%0.3%10
4.7%95%0.3%11
5.1%82.1%12.8%12
6.2%74.7%19%13
6.4%74.5%19%14

sample80.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
16.0ms168×body80nan

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
0514644

prune21.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 3.5b

Counts
2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 z (sqrt.f64 (+.f64 t a)))
0.4b
(/.f64 2/3 t)
3.0b
(-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
4.5b
(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_3769
20×frac-sub_binary64_3775
19×*-un-lft-identity_binary64_3784
17×add-cube-cbrt_binary64_3755
13×add-exp-log_binary64_3748 add-cbrt-cube_binary64_3756
12×times-frac_binary64_3779
flip3--_binary64_3783 flip--_binary64_3810
frac-times_binary64_3776 associate-*r/_binary64_3845
associate-*r*_binary64_3843
add-log-exp_binary64_3749 pow1_binary64_3730 associate-/r*_binary64_3847
sqrt-prod_binary64_3763 flip-+_binary64_3809 flip3-+_binary64_3782
associate-/l*_binary64_3848 sqrt-div_binary64_3764 associate--r+_binary64_3839
associate-*l*_binary64_3844 cbrt-undiv_binary64_3754 div-exp_binary64_3737 sub-neg_binary64_3788
associate-/l/_binary64_3850 clear-num_binary64_3787 cbrt-unprod_binary64_3753 prod-exp_binary64_3735 frac-2neg_binary64_3777 associate-*l/_binary64_3846 div-inv_binary64_3785 distribute-lft-in_binary64_3826 unswap-sqr_binary64_3812 associate--l+_binary64_3840 distribute-rgt-in_binary64_3827
*-commutative_binary64_3852 pow-prod-down_binary64_3711 distribute-lft-out_binary64_3828 diff-log_binary64_3700
Counts
4 → 104
Calls
4 calls:
7.0ms
(*.f64 z (sqrt.f64 (+.f64 t a)))
3.0ms
(/.f64 2/3 t)
14.0ms
(-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
8.0ms
(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

series325.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(*.f64 z (sqrt.f64 (+.f64 t a)))
11.0ms
(/.f64 2/3 t)
190.0ms
(-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
73.0ms
(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

simplify77.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051042992

prune64.0ms

Filtered
94 candidates to 116 candidates (-23.4%)

Profiling

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