Details

Time bar (total: 1.7s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0ms1×body80nan

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0492119
1492119

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.2b
(*.f64 3 (*.f64 v v))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
26×associate-*l*_binary64
23×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
20×sqrt-prod_binary64
18×frac-times_binary64 sqrt-div_binary64
17×pow1_binary64
15×flip3--_binary64 flip--_binary64
12×associate-*r*_binary64
10×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
9×associate-*l/_binary64
7×pow-prod-down_binary64 unswap-sqr_binary64
4×add-log-exp_binary64
3×*-commutative_binary64
2×sub-neg_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
1×pow1/2_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64
Counts
4 → 127
Calls
4 calls:
14.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
11.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
6.0ms
(*.f64 3 (*.f64 v v))

series34.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
5.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
10.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
3.0ms
(*.f64 3 (*.f64 v v))

simplify39.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
051512345

prune173.0ms

Filtered
102 candidates to 139 candidates (-36.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1372139
Fresh000
Picked011
Done000
Total1373140

Merged error: 0b

Counts
140 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
0.2b
(*.f64 3 (*.f64 v v))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*l*_binary64
29×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
22×add-cube-cbrt_binary64
20×frac-times_binary64 sqrt-div_binary64
19×flip3--_binary64 flip--_binary64
18×times-frac_binary64
17×pow1_binary64
16×sqrt-prod_binary64
14×associate-*r/_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
7×pow-prod-down_binary64 associate-*r*_binary64 associate-*l/_binary64
6×sub-neg_binary64
5×distribute-lft-in_binary64 distribute-rgt-in_binary64
4×add-log-exp_binary64
3×unswap-sqr_binary64 *-commutative_binary64
2×cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64
Counts
4 → 130
Calls
4 calls:
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
9.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
6.0ms
(*.f64 3 (*.f64 v v))

series34.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
8.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
17.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
3.0ms
(*.f64 3 (*.f64 v v))

simplify43.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
056942527

prune174.0ms

Filtered
104 candidates to 142 candidates (-36.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh011
Picked011
Done011
Total1423145

Merged error: 0b

Counts
145 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))
0.2b
(*.f64 3 (*.f64 v v))
1.0b
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-prod_binary64
58×add-sqr-sqrt_binary64
40×times-frac_binary64
36×*-un-lft-identity_binary64 add-cube-cbrt_binary64
34×associate-*l*_binary64
29×sqrt-div_binary64
27×associate-*r*_binary64
22×pow1_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×pow-prod-down_binary64
11×frac-times_binary64
9×unswap-sqr_binary64
8×associate-*r/_binary64
7×flip3--_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip--_binary64 associate-*l/_binary64
6×pow1/2_binary64 sqrt-pow1_binary64
4×add-log-exp_binary64
3×sqrt-unprod_binary64 *-commutative_binary64
2×div-inv_binary64
1×rem-sqrt-square_binary64
Counts
4 → 146
Calls
4 calls:
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
14.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))
6.0ms
(*.f64 3 (*.f64 v v))
21.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
11.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))
3.0ms
(*.f64 3 (*.f64 v v))
10.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

simplify49.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050102443

prune229.0ms

Filtered
116 candidates to 158 candidates (-36.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh000
Picked011
Done022
Total1583161

Merged error: 0b

Counts
161 → 3

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05319
15319

end0.0ms

sample539.0ms

Algorithm
intervals
Results
435.0ms8000×body80valid
0.0ms3×body80nan

Profiling

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