Details

Time bar (total: 8.5s)

analyze1.7s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample60.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
14.0ms248×body80invalid

simplify216.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (213.0ms)

IterNodesCost
0506819

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 6.4b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 (*.f64 (+.f64 a (*.f64 b c)) c) i))
0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.1b
(*.f64 (+.f64 a (*.f64 b c)) c)
8.0b
(*.f64 (*.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*l/_binary64
11×add-log-exp_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
9×add-sqr-sqrt_binary64
7×flip3-+_binary64 *-un-lft-identity_binary64 add-cube-cbrt_binary64 flip-+_binary64
6×associate-*r*_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 frac-sub_binary64
2×diff-log_binary64 sum-log_binary64 *-commutative_binary64
1×sub-neg_binary64 flip3--_binary64 unswap-sqr_binary64 +-commutative_binary64 flip--_binary64 associate--l+_binary64
Counts
4 → 68
Calls
4 calls:
9.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 (*.f64 (+.f64 a (*.f64 b c)) c) i))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
6.0ms
(*.f64 (+.f64 a (*.f64 b c)) c)
8.0ms
(*.f64 (*.f64 (+.f64 a (*.f64 b c)) c) i)

series452.0ms

Counts
4 → 12
Calls
4 calls:
401.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 (*.f64 (+.f64 a (*.f64 b c)) c) i))
12.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
15.0ms
(*.f64 (+.f64 a (*.f64 b c)) c)
22.0ms
(*.f64 (*.f64 (+.f64 a (*.f64 b c)) c) i)

simplify30.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
051641205

prune133.0ms

Filtered
61 candidates to 80 candidates (-31.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New701080
Fresh000
Picked011
Done000
Total701181

Merged error: 0.8b

Counts
81 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 a (*.f64 b c))
0.0b
(-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))
0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
4.4b
(*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
7×flip3-+_binary64 flip-+_binary64
6×associate-*l/_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×frac-sub_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 sum-log_binary64
2×diff-log_binary64 +-commutative_binary64
1×sub-neg_binary64 flip3--_binary64 associate-*r*_binary64 flip--_binary64 associate--l+_binary64 *-commutative_binary64
Counts
4 → 59
Calls
4 calls:
3.0ms
(+.f64 a (*.f64 b c))
8.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
7.0ms
(*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i))

series433.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+.f64 a (*.f64 b c))
389.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))
12.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
24.0ms
(*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i))

simplify26.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
053221119

prune334.0ms

Filtered
51 candidates to 71 candidates (-39.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New66571
Fresh369
Picked011
Done011
Total691382

Merged error: 0.7b

Counts
82 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

1.3b
(cbrt.f64 (+.f64 a (*.f64 b c)))
1.3b
(cbrt.f64 (+.f64 a (*.f64 b c)))
1.9b
(*.f64 (*.f64 (cbrt.f64 (+.f64 a (*.f64 b c))) (cbrt.f64 (+.f64 a (*.f64 b c)))) (*.f64 (*.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))
2.0b
(*.f64 (*.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div_binary64
30×flip3-+_binary64 pow1_binary64 add-exp-log_binary64 flip-+_binary64
28×associate-*r/_binary64 frac-times_binary64
18×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
14×associate-*l/_binary64
9×cbrt-prod_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
7×associate-*r*_binary64
4×add-log-exp_binary64
2×pow1/3_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 103
Calls
4 calls:
3.0ms
(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms
(cbrt.f64 (+.f64 a (*.f64 b c)))
18.0ms
(*.f64 (*.f64 (cbrt.f64 (+.f64 a (*.f64 b c))) (cbrt.f64 (+.f64 a (*.f64 b c)))) (*.f64 (*.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))
8.0ms
(*.f64 (*.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt.f64 (+.f64 a (*.f64 b c)))
33.0ms
(cbrt.f64 (+.f64 a (*.f64 b c)))
22.0ms
(*.f64 (*.f64 (cbrt.f64 (+.f64 a (*.f64 b c))) (cbrt.f64 (+.f64 a (*.f64 b c)))) (*.f64 (*.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))
45.0ms
(*.f64 (*.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))

simplify60.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050182057

prune145.0ms

Filtered
77 candidates to 115 candidates (-49.4%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh1910
Picked011
Done022
Total11513128

Merged error: 0.7b

Counts
128 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

4.4b
(*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i))
13.2b
(cbrt.f64 (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))
13.2b
(cbrt.f64 (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))
13.2b
(cbrt.f64 (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
8×associate-*l/_binary64
6×cbrt-div_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×flip3-+_binary64 add-log-exp_binary64 flip-+_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 pow1/3_binary64 associate-*l*_binary64 prod-exp_binary64 cbrt-prod_binary64
1×associate-*r*_binary64 *-commutative_binary64
Counts
4 → 53
Calls
4 calls:
7.0ms
(*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i))
6.0ms
(cbrt.f64 (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))
5.0ms
(cbrt.f64 (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))
5.0ms
(cbrt.f64 (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i))
56.0ms
(cbrt.f64 (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))
54.0ms
(cbrt.f64 (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))
55.0ms
(cbrt.f64 (*.f64 (+.f64 a (*.f64 b c)) (*.f64 c i)))

simplify61.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05007837

prune65.0ms

Filtered
53 candidates to 65 candidates (-22.6%)
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New65065
Fresh099
Picked011
Done033
Total651378

Merged error: 0.7b

Counts
78 → 13

regimes2.6s

Accuracy

0% (1.0b remaining)

Error of 1.9b against oracle of 0.9b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
09419
19419

end0.0ms

sample1.7s

Algorithm
intervals
Results
526.0ms8000×body80valid
445.0ms7105×body80invalid

Profiling

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