Details

Time bar (total: 2.5s)

analyze690.0ms

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

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms51×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0677
1677

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.3b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

11.9b
(/.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))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify54.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05102191

prune30.0ms

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: 0.1b

Counts
25 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

10.7b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite12.0ms

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:
10.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

simplify56.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04993471
14993471

prune51.0ms

Filtered
37 candidates to 53 candidates (-43.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New46753
Fresh134
Picked011
Done011
Total471259

Merged error: 0.0b

Counts
59 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a1)
0.6b
(cbrt.f64 a1)
2.9b
(*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1)))
3.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
146×add-exp-log_binary64
82×add-cbrt-cube_binary64
72×add-sqr-sqrt_binary64
69×cbrt-unprod_binary64 prod-exp_binary64
59×times-frac_binary64
50×cbrt-prod_binary64
44×cbrt-undiv_binary64 div-exp_binary64
41×associate-*r*_binary64
39×*-un-lft-identity_binary64 add-cube-cbrt_binary64
18×associate-*l*_binary64
11×pow1_binary64
10×unswap-sqr_binary64
6×associate-*r/_binary64 frac-times_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 associate-*l/_binary64
3×div-inv_binary64
2×pow1/3_binary64 *-commutative_binary64
Counts
4 → 178
Calls
4 calls:
1.0ms
(cbrt.f64 a1)
1.0ms
(cbrt.f64 a1)
18.0ms
(*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1)))
21.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt.f64 a1)
18.0ms
(cbrt.f64 a1)
19.0ms
(*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1)))
10.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1))))

simplify66.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049541808
149541808

prune74.0ms

Filtered
116 candidates to 190 candidates (-63.8%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1900190
Fresh099
Picked011
Done022
Total19012202

Merged error: 0.0b

Counts
202 → 12

localize5.0ms

Local error

Found 2 expressions with local error:

4.6b
(*.f64 a1 (/.f64 a2 b2))
7.1b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64 times-frac_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×associate-/r*_binary64 associate-*l*_binary64
2×add-log-exp_binary64 associate-*r/_binary64 unswap-sqr_binary64 div-inv_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 *-commutative_binary64
Counts
2 → 56
Calls
2 calls:
7.0ms
(*.f64 a1 (/.f64 a2 b2))
8.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(*.f64 a1 (/.f64 a2 b2))
9.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

simplify72.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04979447
14979447

prune23.0ms

Filtered
40 candidates to 62 candidates (-55.0%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New60262
Fresh268
Picked101
Done033
Total631174

Merged error: 0.0b

Counts
74 → 11

regimes624.0ms

Accuracy

74.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 8.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04291
14291

end0.0ms

sample512.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid
53.0ms1856×body80invalid

Profiling

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