Details

Time bar (total: 1.9s)

analyze10.0ms (0.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14

sample16.0ms (0.9%)

Algorithm
intervals
Results
9.0ms256×body80valid

simplify551.0ms (29.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
051807

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 1.0 x) 1.0)
0.0b
(log.f64 (-.f64 (/.f64 1.0 x) 1.0))

rewrite30.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
log-prod_binary64
add-log-exp_binary64 difference-of-squares_binary64
pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64
flip3--_binary64 add-cbrt-cube_binary64 distribute-lft-out--_binary64 times-frac_binary64 log-div_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 rem-log-exp_binary64 log-pow_binary64
Counts
2 → 31
Calls

2 calls:

20.0ms
(log.f64 (-.f64 (/.f64 1.0 x) 1.0))
8.0ms
(-.f64 (/.f64 1.0 x) 1.0)

series19.0ms (1%)

Counts
2 → 6
Calls

2 calls:

15.0ms
(log.f64 (-.f64 (/.f64 1.0 x) 1.0))
5.0ms
(-.f64 (/.f64 1.0 x) 1.0)

simplify41.0ms (2.2%)

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04961369
14961369

prune51.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New36137
Fresh000
Picked011
Done000
Total36238

Merged error: 0.0b

Counts
38 → 2

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
0.0b
(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
0.1b
(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
0.1b
(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

rewrite34.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
24×sqrt-prod_binary64
18×*-un-lft-identity_binary64 log-prod_binary64
10×pow1_binary64 add-cube-cbrt_binary64
difference-of-squares_binary64 sqrt-div_binary64
log-pow_binary64 add-exp-log_binary64
add-log-exp_binary64 pow1/2_binary64 flip3--_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 distribute-lft-out--_binary64 times-frac_binary64 log-div_binary64 flip--_binary64
rem-log-exp_binary64 rem-sqrt-square_binary64
Counts
4 → 80
Calls

4 calls:

8.0ms
(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
8.0ms
(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
8.0ms
(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
7.0ms
(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

series31.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
8.0ms
(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
6.0ms
(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
5.0ms
(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

simplify66.0ms (3.5%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049231140
149231140

prune146.0ms (7.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New91192
Fresh000
Picked101
Done011
Total92294

Merged error: 0b

Counts
94 → 2

localize17.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
0.3b
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))) (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))))
0.5b
(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
0.5b
(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

rewrite39.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64
26×cbrt-prod_binary64
20×*-un-lft-identity_binary64 sqrt-prod_binary64
12×associate-*r*_binary64 add-cube-cbrt_binary64
cbrt-div_binary64 difference-of-squares_binary64
pow1_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 flip3--_binary64 distribute-lft-out--_binary64 times-frac_binary64 flip--_binary64 sqrt-div_binary64
pow1/3_binary64 associate-*l*_binary64 unswap-sqr_binary64
associate-*r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
pow-prod-down_binary64 pow1/2_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 86
Calls

4 calls:

13.0ms
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))) (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))))
8.0ms
(sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
7.0ms
(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
7.0ms
(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

series62.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))) (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))))
12.0ms
(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
12.0ms
(sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
11.0ms
(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

simplify59.0ms (3.1%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049591569
149591569

prune209.0ms (11%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done011
Total982100

Merged error: 0b

Counts
100 → 2

regimes135.0ms (7.1%)

Accuracy

Total 0.0b remaining (23%)

Threshold costs 0.0b (23%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04625
14625

end0.0ms (0%)

sample352.0ms (18.6%)

Algorithm
intervals
Results
264.0ms8000×body80valid
0.0msbody80nan

Profiling

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