Details

Time bar (total: 1.7s)

analyze1.2s

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%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
1.6%98.2%0.2%10
3.1%90.4%6.5%11
9.2%84.4%6.5%12
13%80.6%6.5%13
24.8%68.7%6.5%14

sample47.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
3.0ms74×body80nan
2.0ms34×body80invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
080621
180621

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.7b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(-.f64 (*.f64 z z) (*.f64 t a))
4.5b
(*.f64 (*.f64 x y) z)
9.6b
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
22.1b
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log_binary64_3748 add-cbrt-cube_binary64_3756
11×add-sqr-sqrt_binary64_3769
10×pow1_binary64_3730 *-un-lft-identity_binary64_3784 add-cube-cbrt_binary64_3755
sqrt-prod_binary64_3763
add-log-exp_binary64_3749 cbrt-unprod_binary64_3753 times-frac_binary64_3779 prod-exp_binary64_3735 associate-/r*_binary64_3847
sqrt-div_binary64_3764
pow-prod-down_binary64_3711 flip3--_binary64_3783 flip--_binary64_3810 cbrt-undiv_binary64_3754 div-exp_binary64_3737 associate-*r*_binary64_3843
associate-/r/_binary64_3849
*-commutative_binary64_3852 clear-num_binary64_3787 frac-2neg_binary64_3777 associate-*l*_binary64_3844 div-inv_binary64_3785 associate-/l*_binary64_3848 sqrt-pow1_binary64_3765 pow1/2_binary64_3720 diff-log_binary64_3700 rem-sqrt-square_binary64_3772 sub-neg_binary64_3788
Counts
4 → 75
Calls
4 calls:
4.0ms
(-.f64 (*.f64 z z) (*.f64 t a))
5.0ms
(*.f64 (*.f64 x y) z)
10.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
4.0ms
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(-.f64 (*.f64 z z) (*.f64 t a))
28.0ms
(*.f64 (*.f64 x y) z)
115.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
61.0ms
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))

simplify66.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050191466

prune18.0ms

Filtered
61 candidates to 87 candidates (-42.6%)

Profiling

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