Details

Time bar (total: 3.0s)

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
15.0ms155×body160valid
8.0ms277×pre80true
6.0ms45×body320valid
3.0ms56×body80valid
1.0ms21×body80nan

simplify215.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (213.0ms)

IterNodesCost
0180116
1180116

prune6.0ms

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: 44.2b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
39.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite35.0ms

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))
8.0ms
(*.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)

series59.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
4.0ms
(*.f64 (*.f64 3 a) c)
29.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
17.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049391196
149391196

prune107.0ms

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: 5.2b

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

prune28.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 5.2b

Counts
14 → 14

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(/.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))

rewrite27.0ms

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 -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))
5.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify61.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04928595
14928595

prune91.0ms

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

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New741387
Fresh01212
Picked101
Done101
Total7625101

Merged error: 5.1b

Counts
101 → 25

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)))

rewrite36.0ms

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))
13.0ms
(/.f64 -3/2 (/.f64 3 (/.f64 c b)))

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/.f64 3 (/.f64 c b))
4.0ms
(/.f64 -3/2 (/.f64 3 (/.f64 c b)))

simplify91.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049783832
149783832

prune188.0ms

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

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New26012272
Fresh71724
Picked011
Done000
Total26730297

Merged error: 5.1b

Counts
297 → 30

regimes416.0ms

Accuracy

0% (6.9b remaining)

Error of 12.2b against oracle of 5.2b and baseline of 12.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms

sample1.3s

Algorithm
intervals
Results
466.0ms4790×body160valid
251.0ms8842×pre80true
198.0ms1392×body320valid
97.0ms1818×body80valid
39.0ms842×body80nan

Profiling

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