Details

Time bar (total: 512.0ms)

analyze56.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
12.5%62.4%25.1%5
31.2%31.2%37.6%6
37.5%25%37.6%7
40.6%15.6%43.8%8
42.9%11.7%45.4%9
44.1%7.4%48.5%10
45.1%5.7%49.3%11
45.6%3.6%50.8%12
46%2.8%51.2%13
46.2%1.8%52%14

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0msbody80nan
0.0msbody80invalid

simplify173.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (163.0ms)

IterNodesCost
0158318
1158318

prune24.0ms

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: 0.4b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
0.2b
(*.f64 3 (sqrt.f64 x))
0.2b
(*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
0.4b
(/.f64 1/9 x)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity_binary64_4426
20×add-sqr-sqrt_binary64_4411
16×add-cube-cbrt_binary64_4397
13×add-exp-log_binary64_4390 add-cbrt-cube_binary64_4398
11×associate-*r*_binary64_4485 pow1_binary64_4372
add-log-exp_binary64_4391 times-frac_binary64_4421
distribute-lft-out_binary64_4470
flip-+_binary64_4451 associate-*l*_binary64_4486 associate-*r/_binary64_4487 frac-add_binary64_4416 flip3-+_binary64_4424 pow-prod-down_binary64_4353 sqrt-prod_binary64_4405 prod-exp_binary64_4377 cbrt-unprod_binary64_4395
associate-/l*_binary64_4490 associate-/r*_binary64_4489 sum-log_binary64_4341
*-commutative_binary64_4494 unswap-sqr_binary64_4454
distribute-rgt-in_binary64_4469 div-inv_binary64_4427 frac-2neg_binary64_4419 div-exp_binary64_4379 clear-num_binary64_4429 associate-+r+_binary64_4477 cbrt-undiv_binary64_4396 distribute-lft-in_binary64_4468 +-commutative_binary64_4493
Counts
4 → 92
Calls
4 calls:
9.0ms
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
5.0ms
(*.f64 3 (sqrt.f64 x))
15.0ms
(*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
3.0ms
(/.f64 1/9 x)

series85.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
14.0ms
(*.f64 3 (sqrt.f64 x))
47.0ms
(*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
12.0ms
(/.f64 1/9 x)

simplify77.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
055371450

prune25.0ms

Filtered
76 candidates to 104 candidates (-36.8%)

Profiling

Loading profile data...