Details

Time bar (total: 3.5s)

analyze565.0ms

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%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms68×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0677
1677

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

12.0b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64 add-cbrt-cube_binary64
4×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
1×*-un-lft-identity_binary64 associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 clear-num_binary64 frac-2neg_binary64 add-sqr-sqrt_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64
Counts
1 → 21
Calls
1 calls:
6.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify53.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05102191

prune39.0ms

Filtered
13 candidates to 24 candidates (-84.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New19524
Fresh000
Picked011
Done000
Total19625

Merged error: 0.0b

Counts
25 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

4.4b
(/.f64 b1 (/.f64 a2 b2))
7.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
57×associate-/r*_binary64
22×div-inv_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
9×cbrt-undiv_binary64 div-exp_binary64
6×associate-/r/_binary64 associate-/l*_binary64
2×add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
Counts
2 → 266
Calls
2 calls:
6.0ms
(/.f64 b1 (/.f64 a2 b2))
13.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/.f64 b1 (/.f64 a2 b2))
11.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

simplify82.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049683909
149683909

prune220.0ms

Filtered
228 candidates to 272 candidates (-19.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2693272
Fresh224
Picked011
Done011
Total2717278

Merged error: 0b

Counts
278 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

8.3b
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
22×times-frac_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
13×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
4×cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-exp_binary64
3×pow1_binary64
2×div-inv_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
1 → 50
Calls
1 calls:
13.0ms
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

simplify82.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
05134471

prune62.0ms

Filtered
38 candidates to 53 candidates (-39.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New53053
Fresh044
Picked011
Done022
Total53760

Merged error: 0b

Counts
60 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a2)
2.5b
(/.f64 b1 (/.f64 (cbrt.f64 a2) b2))
4.7b
(/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2)))
4.8b
(*.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
1413×times-frac_binary64
672×add-sqr-sqrt_binary64
658×*-un-lft-identity_binary64 add-cube-cbrt_binary64
229×cbrt-prod_binary64
218×associate-*r*_binary64
93×associate-/r*_binary64
50×add-exp-log_binary64
38×add-cbrt-cube_binary64
35×div-inv_binary64
21×cbrt-undiv_binary64 div-exp_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
10×associate-/r/_binary64
9×pow1_binary64
6×associate-/l*_binary64
5×unswap-sqr_binary64
4×add-log-exp_binary64
3×pow-prod-down_binary64
2×clear-num_binary64 frac-2neg_binary64
1×associate-*r/_binary64 pow1/3_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 672
Calls
4 calls:
1.0ms
(cbrt.f64 a2)
8.0ms
(/.f64 b1 (/.f64 (cbrt.f64 a2) b2))
18.0ms
(/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2)))
60.0ms
(*.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt.f64 a2)
27.0ms
(/.f64 b1 (/.f64 (cbrt.f64 a2) b2))
42.0ms
(/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2)))
18.0ms
(*.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2))))

simplify96.0ms

Algorithm
egg-herbie
Counts
684 → 684
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0538611036

prune590.0ms

Filtered
619 candidates to 684 candidates (-10.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6840684
Fresh033
Picked011
Done033
Total6847691

Merged error: 0b

Counts
691 → 7

regimes716.0ms

Accuracy

78.8% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 10.9b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04456
14456

end0.0ms

sample532.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid
50.0ms1764×body80invalid

Profiling

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