Details

Time bar (total: 1.0s)

analyze4.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample13.0ms (1.3%)

Algorithm
intervals
Results
7.0ms256×body80valid

simplify36.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
052311
152311

prune4.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

rewrite43.0ms (4.3%)

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity_binary64
35×times-frac_binary64
30×add-sqr-sqrt_binary64
22×add-cube-cbrt_binary64
11×distribute-lft-out_binary64
associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64 distribute-lft-out--_binary64
add-log-exp_binary64
associate-/r/_binary64 difference-of-squares_binary64
pow1_binary64
flip3-+_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
flip3--_binary64 frac-add_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
3 → 87
Calls

3 calls:

29.0ms
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 x 1.0)))
6.0ms
(/.f64 x (+.f64 x 1.0))
6.0ms
(/.f64 1.0 (-.f64 x 1.0))

series14.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

8.0ms
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 x 1.0)))
3.0ms
(/.f64 x (+.f64 x 1.0))
3.0ms
(/.f64 1.0 (-.f64 x 1.0))

simplify56.0ms (5.5%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05315995

prune111.0ms (11%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh000
Picked011
Done000
Total95297

Merged error: 0b

Counts
97 → 2

localize8.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 x (+.f64 1.0 x))
0.0b
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x))) 3))
0.0b
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x)))
0.0b
(pow.f64 (+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x))) 3)

rewrite93.0ms (9.2%)

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity_binary64
52×times-frac_binary64
39×distribute-lft-out_binary64
22×cbrt-prod_binary64
19×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×unpow-prod-down_binary64 cube-prod_binary64
10×distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 cube-div_binary64
pow1_binary64
flip3-+_binary64 associate-/r*_binary64 flip-+_binary64
cbrt-div_binary64 pow-unpow_binary64 frac-add_binary64 associate-/l*_binary64
sqr-pow_binary64 associate-/r/_binary64 unpow3_binary64 cube-mult_binary64
pow-to-exp_binary64 rem-cbrt-cube_binary64 cbrt-undiv_binary64 pow1/3_binary64 pow-pow_binary64 clear-num_binary64 rem-cube-cbrt_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 pow-exp_binary64 sum-log_binary64
Counts
4 → 120
Calls

4 calls:

29.0ms
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x))) 3))
28.0ms
(pow.f64 (+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x))) 3)
25.0ms
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x)))
6.0ms
(/.f64 x (+.f64 1.0 x))

series31.0ms (3.1%)

Counts
4 → 12
Calls

4 calls:

10.0ms
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x))) 3))
10.0ms
(pow.f64 (+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x))) 3)
8.0ms
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x)))
3.0ms
(/.f64 x (+.f64 1.0 x))

simplify50.0ms (5%)

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049691866
149691866

prune170.0ms (16.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh000
Picked011
Done011
Total1322134

Merged error: 0b

Counts
134 → 2

regimes48.0ms (4.7%)

Accuracy

Total 0.0b remaining (62.4%)

Threshold costs 0.0b (62.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02214
12214

end0.0ms (0%)

sample318.0ms (31.5%)

Algorithm
intervals
Results
228.0ms8000×body80valid

Profiling

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