Details

Time bar (total: 258.0ms)

analyze45.0ms (17.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
25%25%50%4
25%25%50%5
31.2%18.7%50%6
34.3%15.6%50%7
39%10.9%50%8
40.6%8.6%50.8%9
42.9%5.9%51.2%10
43.7%4.5%51.8%11
44.9%3%52.1%12
45.3%2.3%52.4%13
45.9%1.5%52.6%14
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample18.0ms (6.9%)

Algorithm
intervals
Results
11.0ms256×body80valid
0.0msbody80invalid
Compiler

Compiled 29 to 29 computations (0% saved)

simplify39.0ms (14.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049818
149818

prune6.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2
Compiler

Compiled 38 to 35 computations (7.9% saved)

localize9.0ms (3.6%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b
(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.2b
(*.f64 3 (sqrt.f64 x))
0.3b
(/.f64 1 (*.f64 x 9))

rewrite34.0ms (13.1%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64
18×*-un-lft-identity_binary64
17×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
11×add-cube-cbrt_binary64
add-log-exp_binary64 pow1_binary64
associate-*r*_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64
prod-exp_binary64 distribute-lft-out--_binary64
cbrt-undiv_binary64 sqrt-prod_binary64
diff-log_binary64 cbrt-unprod_binary64 associate-*l*_binary64 div-inv_binary64
pow-prod-down_binary64 associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 1-exp_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64 flip--_binary64 pow-flip_binary64 frac-sub_binary64
associate--l-_binary64 inv-pow_binary64 difference-of-squares_binary64 associate--l+_binary64 *-commutative_binary64
Counts
4 → 91
Calls

4 calls:

13.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
8.0ms
(/.f64 1 (*.f64 x 9))
5.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms
(*.f64 3 (sqrt.f64 x))

series27.0ms (10.4%)

Counts
4 → 12
Calls

4 calls:

10.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
10.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms
(*.f64 3 (sqrt.f64 x))
3.0ms
(/.f64 1 (*.f64 x 9))

simplify73.0ms (28.2%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050151401

prune8.0ms (3.2%)

Profiling

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