Details

Time bar (total: 643.0ms)

analyze81.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
0%50%50%4
6.2%43.7%50%5
9.4%28.1%62.5%6
12.5%25%62.5%7
15.6%15.6%68.8%8
16.8%14.4%68.8%9
18.5%8.8%72.7%10
19.2%7.7%73.1%11
20.1%4.6%75.2%12
20.5%4%75.5%13
21%2.4%76.6%14

sample31.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
0.0msbody80nan
0.0msbody80invalid

simplify220.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
0104921
1104921

prune20.0ms

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: 0.1b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 a 1/3) 9)
0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))))
0.2b
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
0.6b
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64_3127
23×*-un-lft-identity_binary64_3142
17×add-cube-cbrt_binary64_3113
12×times-frac_binary64_3137
11×pow1_binary64_3088
10×associate-*l*_binary64_3202 add-cbrt-cube_binary64_3114 add-exp-log_binary64_3106
associate-*l/_binary64_3204
associate-*r*_binary64_3201
flip--_binary64_3168 flip3--_binary64_3141
sqrt-prod_binary64_3121
associate-/r*_binary64_3205 frac-times_binary64_3134 add-log-exp_binary64_3107 sqrt-div_binary64_3122
associate-/l*_binary64_3206 pow-prod-down_binary64_3069 flip-+_binary64_3167 flip3-+_binary64_3140
distribute-lft-out--_binary64_3187 cbrt-unprod_binary64_3111 unswap-sqr_binary64_3170 difference-of-squares_binary64_3171 sqrt-pow1_binary64_3123 associate-*r/_binary64_3203 *-commutative_binary64_3210 associate-/r/_binary64_3207 prod-exp_binary64_3093
cbrt-undiv_binary64_3112 div-exp_binary64_3095 clear-num_binary64_3145 frac-2neg_binary64_3135 distribute-rgt-in_binary64_3185 distribute-lft-in_binary64_3184 pow1/2_binary64_3078 distribute-lft-out_binary64_3186 div-inv_binary64_3143
Counts
4 → 99
Calls
4 calls:
7.0ms
(*.f64 (-.f64 a 1/3) 9)
14.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))))
13.0ms
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
6.0ms
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

series143.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(*.f64 (-.f64 a 1/3) 9)
39.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))))
58.0ms
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
22.0ms
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

simplify55.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049462301
149462301

prune38.0ms

Filtered
88 candidates to 111 candidates (-26.1%)

Profiling

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