Details

Time bar (total: 3.4s)

analyze265.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample42.0ms

Algorithm
intervals
Results
14.0ms149×body160valid
11.0ms284×pre80true
5.0ms107×body80valid
1.0ms28×body80nan

simplify215.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (213.0ms)

IterNodesCost
0180116
1180116

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 29.5b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
29.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64
4×cbrt-unprod_binary64 prod-exp_binary64
3×pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 distribute-lft-out--_binary64 flip--_binary64 sqrt-prod_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
5.0ms
(*.f64 (*.f64 3 a) c)
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series60.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
4.0ms
(*.f64 (*.f64 3 a) c)
28.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
18.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify51.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049391196
149391196

prune139.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New691685
Fresh000
Picked101
Done000
Total701686

Merged error: 9.9b

Counts
86 → 16

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune46.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01515
Picked011
Done000
Total01616

Merged error: 9.9b

Counts
16 → 16

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
16×cbrt-undiv_binary64 div-exp_binary64
10×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*r*_binary64 times-frac_binary64
5×pow1_binary64
4×associate-/r*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
2×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 78
Calls
3 calls:
5.0ms
(/.f64 (*.f64 a c) b)
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
10.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

series17.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/.f64 (*.f64 a c) b)
6.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
6.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify63.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04928595
14928595

prune142.0ms

Filtered
47 candidates to 87 candidates (-85.1%)
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New721587
Fresh01414
Picked101
Done101
Total7429103

Merged error: 9.8b

Counts
103 → 29

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 3 (/.f64 c b))
0.2b
(/.f64 -3/2 (/.f64 3 (/.f64 c b)))

rewrite37.0ms

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 3 (/.f64 c b))
12.0ms
(/.f64 -3/2 (/.f64 3 (/.f64 c b)))

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/.f64 3 (/.f64 c b))
3.0ms
(/.f64 -3/2 (/.f64 3 (/.f64 c b)))

simplify85.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049783832
149783832

prune290.0ms

Filtered
232 candidates to 272 candidates (-17.2%)
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New25616272
Fresh91928
Picked101
Done000
Total26635301

Merged error: 9.7b

Counts
301 → 35

regimes754.0ms

Accuracy

48.3% (7.1b remaining)

Error of 16.1b against oracle of 9.0b and baseline of 22.8b

bsearch10.0ms

Steps
ItersRangePoint
3
465.187763506351
606.2527495734407
594.5104231633945

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08139
18139

end0.0ms

sample1.1s

Algorithm
intervals
Results
432.0ms4490×body160valid
260.0ms8983×pre80true
174.0ms3510×body80valid
46.0ms983×body80nan

Profiling

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