Details

Time bar (total: 3.2s)

analyze273.0ms

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

sample44.0ms

Algorithm
intervals
Results
15.0ms154×body160valid
8.0ms284×pre80true
6.0ms41×body320valid
3.0ms61×body80valid
1.0ms28×body80nan

simplify302.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (292.0ms)

IterNodesCost
0180324
1180324

prune3.0ms

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: 43.3b

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))
39.4b
(-.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)

series231.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
18.0ms
(*.f64 (*.f64 3 a) c)
111.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
67.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049291807
149291807

prune107.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New721385
Fresh000
Picked101
Done000
Total731386

Merged error: 5.4b

Counts
86 → 13

localize4.0ms

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

prune15.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 5.4b

Counts
13 → 13

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:
6.0ms
(/.f64 (*.f64 a c) b)
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

series67.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/.f64 (*.f64 a c) b)
25.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
21.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify62.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04943874
14943874

prune69.0ms

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

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New771087
Fresh01111
Picked101
Done011
Total7822100

Merged error: 5.3b

Counts
100 → 22

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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 a (/.f64 c b))
8.0ms
(*.f64 -3/2 (*.f64 a (/.f64 c b)))
11.0ms
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))

series67.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(*.f64 a (/.f64 c b))
26.0ms
(*.f64 -3/2 (*.f64 a (/.f64 c b)))
21.0ms
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))

simplify104.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04937919
14937919

prune39.0ms

Filtered
49 candidates to 92 candidates (-87.8%)
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New85792
Fresh31720
Picked101
Done011
Total8925114

Merged error: 5.3b

Counts
114 → 25

regimes221.0ms

Accuracy

15.3% (5.8b remaining)

Error of 10.9b against oracle of 5.1b and baseline of 12.0b

bsearch36.0ms

Steps
ItersRangePoint
4
0.0004127366552241216
0.0006181106374729766
0.0006093319319409536

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08358
18358

end0.0ms

sample1.4s

Algorithm
intervals
Results
502.0ms4814×body160valid
271.0ms8873×pre80true
211.0ms1398×body320valid
97.0ms1788×body80valid
44.0ms873×body80nan

Profiling

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