Details

Time bar (total: 3.0s)

analyze2.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%81.1%18.9%7
0%68.6%31.4%8
0%59.2%40.8%9
0%59.2%40.8%10
0%59.2%40.8%11
0.4%49.5%50.1%12
0.8%44.4%54.8%13
1.4%39.9%58.7%14

sample158.0ms

Algorithm
intervals
Results
46.0ms256×body80valid
45.0ms295×body80nan
27.0ms151×body80invalid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
0505841

prune18.0ms

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: 28.7b

Counts
2 → 1

localize31.0ms

Local error

Found 4 expressions with local error:

9.5b
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 1/2 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d 2)) 2)) (/.f64 h l))))
12.4b
(*.f64 (*.f64 1/2 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d 2)) 2)) (/.f64 h l))
13.0b
(sqrt.f64 (/.f64 d l))
14.1b
(sqrt.f64 (/.f64 d h))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log_binary64
41×prod-exp_binary64
32×add-sqr-sqrt_binary64
29×times-frac_binary64
26×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
21×add-cbrt-cube_binary64
16×associate-*r*_binary64 div-exp_binary64
14×sqrt-div_binary64
13×pow1_binary64
10×pow-exp_binary64
cbrt-unprod_binary64 frac-times_binary64
associate-*r/_binary64 associate-*l/_binary64
pow-prod-down_binary64 add-log-exp_binary64 flip3--_binary64 rem-sqrt-square_binary64 flip--_binary64
div-inv_binary64
pow-to-exp_binary64 sub-neg_binary64 pow1/2_binary64 cbrt-undiv_binary64 associate-*l*_binary64 sqrt-pow1_binary64 *-commutative_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64
Counts
4 → 125
Calls
4 calls:
14.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 1/2 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d 2)) 2)) (/.f64 h l))))
11.0ms
(*.f64 (*.f64 1/2 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d 2)) 2)) (/.f64 h l))
3.0ms
(sqrt.f64 (/.f64 d l))
3.0ms
(sqrt.f64 (/.f64 d h))

series498.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 1/2 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d 2)) 2)) (/.f64 h l))))
94.0ms
(*.f64 (*.f64 1/2 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d 2)) 2)) (/.f64 h l))
40.0ms
(sqrt.f64 (/.f64 d l))
48.0ms
(sqrt.f64 (/.f64 d h))

simplify98.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050813497

prune59.0ms

Filtered
97 candidates to 137 candidates (-41.2%)

Profiling

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