Details

Time bar (total: 3.1s)

analyze266.0ms

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
15.0ms161×body160valid
11.0ms287×pre80true
5.0ms40×body320valid
3.0ms55×body80valid
1.0ms31×body80nan

simplify306.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (297.0ms)

IterNodesCost
0180324
1180324

prune4.0ms

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: 43.5b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
39.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite31.0ms

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)

series218.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
18.0ms
(*.f64 (*.f64 3 a) c)
103.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
64.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049291807
149291807

prune107.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New731285
Fresh000
Picked101
Done000
Total741286

Merged error: 5.4b

Counts
86 → 12

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify11.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune17.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01111
Picked011
Done000
Total01212

Merged error: 5.4b

Counts
12 → 12

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))

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))

series62.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/.f64 (*.f64 a c) b)
24.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
21.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify65.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04943874
14943874

prune73.0ms

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

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New741387
Fresh01010
Picked101
Done011
Total752499

Merged error: 5.3b

Counts
99 → 24

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64 add-cbrt-cube_binary64
21×cbrt-unprod_binary64 prod-exp_binary64
17×add-sqr-sqrt_binary64
14×associate-*r*_binary64
12×*-un-lft-identity_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 div-exp_binary64
11×times-frac_binary64
10×pow1_binary64
6×associate-*l*_binary64
5×associate-*r/_binary64
4×pow-prod-down_binary64
3×add-log-exp_binary64
2×unswap-sqr_binary64 div-inv_binary64 *-commutative_binary64
1×associate-/l/_binary64 associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
Counts
3 → 83
Calls
3 calls:
7.0ms
(*.f64 -3/2 (*.f64 a (/.f64 c b)))
7.0ms
(*.f64 a (/.f64 c b))
10.0ms
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))

series64.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(*.f64 -3/2 (*.f64 a (/.f64 c b)))
18.0ms
(*.f64 a (/.f64 c b))
22.0ms
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))

simplify105.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04937919
14937919

prune41.0ms

Filtered
48 candidates to 92 candidates (-91.7%)
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New87592
Fresh31922
Picked101
Done011
Total9125116

Merged error: 5.3b

Counts
116 → 25

regimes217.0ms

Accuracy

14% (5.8b remaining)

Error of 10.9b against oracle of 5.1b and baseline of 11.8b

bsearch27.0ms

Steps
ItersRangePoint
4
0.003324149664579032
0.004938542801414664
0.004869902380406645

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08358
18358

end0.0ms

sample1.3s

Algorithm
intervals
Results
472.0ms4961×body160valid
260.0ms8847×pre80true
182.0ms1284×body320valid
85.0ms1755×body80valid
40.0ms847×body80nan

Profiling

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