Details

Time bar (total: 2.2s)

analyze10.0ms

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

sample24.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify569.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02111
12111

prune3.0ms

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

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (/.f64 1 x) 1)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64
difference-of-squares_binary64 times-frac_binary64
add-log-exp_binary64 difference-of-sqr-1_binary64
distribute-lft-out--_binary64
sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64 flip--_binary64
Counts
1 → 22
Calls
1 calls:
10.0ms
(-.f64 (/.f64 1 x) 1)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(-.f64 (/.f64 1 x) 1)

simplify110.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
04879322
14879322

prune27.0ms

Filtered
12 candidates to 25 candidates (-108.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New24125
Fresh000
Picked101
Done000
Total25126

Merged error: 0.0b

Counts
26 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 -1 (sqrt.f64 (/.f64 1 x)))
0.1b
(sqrt.f64 (/.f64 1 x))
0.1b
(sqrt.f64 (/.f64 1 x))
0.5b
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) (+.f64 -1 (sqrt.f64 (/.f64 1 x))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
29×*-un-lft-identity_binary64
28×sqrt-prod_binary64
22×times-frac_binary64
20×add-cube-cbrt_binary64
10×pow1_binary64
flip3-+_binary64 flip-+_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
distribute-lft-out_binary64
associate-*r*_binary64 frac-times_binary64
div-inv_binary64
pow1/2_binary64 associate-*r/_binary64 inv-pow_binary64 pow-flip_binary64 sqrt-div_binary64 associate-*l/_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 100
Calls
4 calls:
7.0ms
(+.f64 -1 (sqrt.f64 (/.f64 1 x)))
3.0ms
(sqrt.f64 (/.f64 1 x))
3.0ms
(sqrt.f64 (/.f64 1 x))
17.0ms
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) (+.f64 -1 (sqrt.f64 (/.f64 1 x))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+.f64 -1 (sqrt.f64 (/.f64 1 x)))
14.0ms
(sqrt.f64 (/.f64 1 x))
11.0ms
(sqrt.f64 (/.f64 1 x))
36.0ms
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) (+.f64 -1 (sqrt.f64 (/.f64 1 x))))

simplify70.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049961821
149961821

prune115.0ms

Filtered
85 candidates to 112 candidates (-31.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh000
Picked011
Done000
Total1112113

Merged error: 0b

Counts
113 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (sqrt.f64 (/.f64 1 x)))
0.5b
(cbrt.f64 (sqrt.f64 (/.f64 1 x)))
0.5b
(cbrt.f64 (sqrt.f64 (/.f64 1 x)))
0.5b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 1 x))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
160×cbrt-prod_binary64
128×add-sqr-sqrt_binary64
127×sqrt-prod_binary64
83×times-frac_binary64
76×*-un-lft-identity_binary64
64×add-cube-cbrt_binary64
25×unswap-sqr_binary64
23×swap-sqr_binary64
19×associate-*r*_binary64 associate-*l*_binary64
11×pow1_binary64
pow1/3_binary64 div-inv_binary64
cbrt-div_binary64 sqrt-div_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 182
Calls
4 calls:
6.0ms
(cbrt.f64 (sqrt.f64 (/.f64 1 x)))
3.0ms
(cbrt.f64 (sqrt.f64 (/.f64 1 x)))
3.0ms
(cbrt.f64 (sqrt.f64 (/.f64 1 x)))
16.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 1 x))))

series269.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(cbrt.f64 (sqrt.f64 (/.f64 1 x)))
67.0ms
(cbrt.f64 (sqrt.f64 (/.f64 1 x)))
65.0ms
(cbrt.f64 (sqrt.f64 (/.f64 1 x)))
73.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 1 x))))

simplify88.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049813956
149813956

prune263.0ms

Filtered
119 candidates to 194 candidates (-63.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh000
Picked011
Done011
Total1942196

Merged error: 0b

Counts
196 → 2

regimes19.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02124
12124

end0.0ms

sample370.0ms

Algorithm
intervals
Results
278.0ms8000×body80valid
0.0msbody80nan

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