Details

Time bar (total: 2.5s)

analyze478.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%93.6%6.4%7
3.1%84.2%12.7%8
12.5%67.1%20.5%9
16%63.5%20.5%10
17.9%57.7%24.4%11
22.6%48.7%28.7%12
28.7%37.8%33.6%13
30.4%35.9%33.7%14

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms84×body80nan
1.0ms28×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0148
1148

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

2.3b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
7.0b
(/.f64 A (*.f64 V l))
15.4b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
15×sqrt-prod_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
times-frac_binary64
pow1_binary64
add-log-exp_binary64 associate-*l*_binary64 associate-/l*_binary64 div-inv_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-exp_binary64 sqrt-div_binary64
pow-prod-down_binary64 associate-/r*_binary64 pow1/2_binary64 associate-*r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
3 → 66
Calls
3 calls:
8.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.0ms
(/.f64 A (*.f64 V l))
4.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.0ms
(/.f64 A (*.f64 V l))
14.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify69.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05085561

prune89.0ms

Filtered
57 candidates to 75 candidates (-31.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New601575
Fresh000
Picked101
Done000
Total611576

Merged error: 8.2b

Counts
76 → 15

localize6.0ms

Local error

Found 3 expressions with local error:

2.3b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
4.2b
(/.f64 (/.f64 A V) l)
15.4b
(sqrt.f64 (/.f64 (/.f64 A V) l))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac_binary64
134×add-sqr-sqrt_binary64
117×*-un-lft-identity_binary64 add-cube-cbrt_binary64
89×sqrt-prod_binary64
46×associate-*r*_binary64
13×associate-/l*_binary64 div-inv_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
unswap-sqr_binary64
associate-/r*_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*l*_binary64 rem-sqrt-square_binary64 div-exp_binary64
sqrt-div_binary64
pow-prod-down_binary64 associate-/l/_binary64 pow1/2_binary64 cbrt-unprod_binary64 associate-*r/_binary64 sqrt-pow1_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
3 → 191
Calls
3 calls:
16.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
6.0ms
(/.f64 (/.f64 A V) l)
7.0ms
(sqrt.f64 (/.f64 (/.f64 A V) l))

series34.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
5.0ms
(/.f64 (/.f64 A V) l)
10.0ms
(sqrt.f64 (/.f64 (/.f64 A V) l))

simplify72.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050102192

prune148.0ms

Filtered
167 candidates to 200 candidates (-19.8%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New18614200
Fresh11314
Picked011
Done000
Total19718215

Merged error: 0.1b

Counts
215 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 A)
0.6b
(cbrt.f64 A)
0.6b
(cbrt.f64 l)
0.6b
(cbrt.f64 l)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 l)
1.0ms
(cbrt.f64 l)

series60.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt.f64 A)
14.0ms
(cbrt.f64 A)
14.0ms
(cbrt.f64 l)
15.0ms
(cbrt.f64 l)

simplify38.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04923212
14923212

prune73.0ms

Filtered
48 candidates to 56 candidates (-16.7%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New53356
Fresh11516
Picked011
Done011
Total542074

Merged error: 0.0b

Counts
74 → 20

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 A)
0.6b
(cbrt.f64 A)
0.6b
(cbrt.f64 l)
0.6b
(cbrt.f64 l)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 l)
1.0ms
(cbrt.f64 l)

series61.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(cbrt.f64 A)
15.0ms
(cbrt.f64 A)
15.0ms
(cbrt.f64 l)
17.0ms
(cbrt.f64 l)

simplify38.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04923212
14923212

prune33.0ms

Filtered
48 candidates to 56 candidates (-16.7%)
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh11617
Picked011
Done022
Total562076

Merged error: 0.0b

Counts
76 → 20

regimes431.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01521
11521

end0.0ms

sample683.0ms

Algorithm
intervals
Results
272.0ms8000×body80valid
100.0ms2967×body80nan
34.0ms834×body80invalid

Profiling

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