Details

Time bar (total: 3.0s)

analyze259.0ms

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

sample45.0ms

Algorithm
intervals
Results
16.0ms154×body160valid
8.0ms290×pre80true
5.0ms40×body320valid
3.0ms62×body80valid
2.0ms34×body80nan

simplify213.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (210.0ms)

IterNodesCost
0180116
1180116

prune8.0ms

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: 42.7b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
37.3b
(-.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:
5.0ms
(-.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)

series71.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
4.0ms
(*.f64 (*.f64 3 a) c)
33.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
22.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049391196
149391196

prune138.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New711485
Fresh000
Picked101
Done000
Total721486

Merged error: 5.3b

Counts
86 → 14

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune39.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 5.3b

Counts
14 → 14

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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)
9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))

series22.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/.f64 (*.f64 a c) b)
6.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
8.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))

simplify59.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04928595
14928595

prune140.0ms

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

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New741387
Fresh01212
Picked101
Done011
Total7526101

Merged error: 5.2b

Counts
101 → 26

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(/.f64 1 (*.f64 (/.f64 b c) -2))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64
10×add-cbrt-cube_binary64
9×div-exp_binary64
6×prod-exp_binary64
4×pow1_binary64 cbrt-undiv_binary64
3×*-un-lft-identity_binary64 1-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 rec-exp_binary64 associate-/l*_binary64 times-frac_binary64
2×cbrt-unprod_binary64 pow-flip_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 add-log-exp_binary64 associate-/r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 div-inv_binary64 associate-*l/_binary64
Counts
1 → 33
Calls
1 calls:
6.0ms
(/.f64 1 (*.f64 (/.f64 b c) -2))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/.f64 1 (*.f64 (/.f64 b c) -2))

simplify72.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04853203
14853203

prune23.0ms

Filtered
18 candidates to 36 candidates (-100.0%)
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh12324
Picked101
Done011
Total352762

Merged error: 5.2b

Counts
62 → 27

regimes495.0ms

Accuracy

4% (6.7b remaining)

Error of 11.6b against oracle of 4.9b and baseline of 11.9b

bsearch14.0ms

Steps
ItersRangePoint
3
0.8191393748120307
1.0786687408435922
0.9705234342937443

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08139
18139

end0.0ms

sample1.2s

Algorithm
intervals
Results
461.0ms4841×body160valid
254.0ms8851×pre80true
195.0ms1372×body320valid
86.0ms1787×body80valid
41.0ms851×body80nan

Profiling

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