Details

Time bar (total: 2.7s)

analyze2.2s (79%)

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
Compiler

Compiled 36 to 32 computations (11.1% saved)

sample146.0ms (5.3%)

Algorithm
intervals
Results
48.0ms256×body80valid
40.0ms295×body80nan
27.0ms151×body80invalid
Compiler

Compiled 71 to 68 computations (4.2% saved)

simplify65.0ms (2.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0496741
1496741

prune8.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 28.7b

Counts
2 → 1
Compiler

Compiled 54 to 46 computations (14.8% saved)

localize19.0ms (0.7%)

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))

rewrite42.0ms (1.5%)

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:

16.0ms
(*.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))))
14.0ms
(*.f64 (*.f64 1/2 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d 2)) 2)) (/.f64 h l))
3.0ms
(sqrt.f64 (/.f64 d h))
3.0ms
(sqrt.f64 (/.f64 d l))

series174.0ms (6.3%)

Counts
4 → 12
Calls

4 calls:

114.0ms
(*.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))))
31.0ms
(*.f64 (*.f64 1/2 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d 2)) 2)) (/.f64 h l))
14.0ms
(sqrt.f64 (/.f64 d l))
14.0ms
(sqrt.f64 (/.f64 d h))

simplify101.0ms (3.7%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
050313491

prune23.0ms (0.8%)

Profiling

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