Details

Time bar (total: 3.4s)

analyze1.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14

sample32.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms103×body80invalid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05509
15509

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
8.1b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
4×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/r*_binary64 associate-/l*_binary64
2×associate-/l/_binary64 pow1_binary64 flip3--_binary64 flip--_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 41
Calls
2 calls:
5.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
6.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

series29.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
17.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

simplify50.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05334577

prune66.0ms

Filtered
37 candidates to 47 candidates (-27.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New351247
Fresh000
Picked101
Done000
Total361248

Merged error: 8.3b

Counts
48 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 x y) a) (/.f64 (*.f64 z t) a))
6.0b
(/.f64 (*.f64 z t) a)
6.1b
(/.f64 (*.f64 x y) a)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64 add-cbrt-cube_binary64
9×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
7×add-cube-cbrt_binary64
6×associate-/r*_binary64 times-frac_binary64
5×add-log-exp_binary64
4×cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64
3×pow1_binary64
2×cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-/l*_binary64
1×sub-neg_binary64 flip3--_binary64 diff-log_binary64 distribute-rgt-out--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 sub-div_binary64 flip--_binary64 frac-sub_binary64
Counts
3 → 58
Calls
3 calls:
9.0ms
(-.f64 (/.f64 (*.f64 x y) a) (/.f64 (*.f64 z t) a))
7.0ms
(/.f64 (*.f64 z t) a)
5.0ms
(/.f64 (*.f64 x y) a)

series32.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(-.f64 (/.f64 (*.f64 x y) a) (/.f64 (*.f64 z t) a))
6.0ms
(/.f64 (*.f64 z t) a)
6.0ms
(/.f64 (*.f64 x y) a)

simplify71.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04945588
14945588

prune67.0ms

Filtered
46 candidates to 67 candidates (-45.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New60767
Fresh7411
Picked101
Done000
Total681179

Merged error: 0.5b

Counts
79 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
8.2b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
13×associate-*r*_binary64
11×*-un-lft-identity_binary64 add-exp-log_binary64 times-frac_binary64
10×add-cube-cbrt_binary64
7×add-cbrt-cube_binary64
4×add-log-exp_binary64 pow1_binary64 prod-exp_binary64
3×flip3--_binary64 associate-*l*_binary64 unswap-sqr_binary64 flip--_binary64
2×cbrt-unprod_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 51
Calls
2 calls:
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
11.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

series31.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
20.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

simplify51.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05281652

prune49.0ms

Filtered
38 candidates to 57 candidates (-50.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh01010
Picked011
Done000
Total571168

Merged error: 0.5b

Counts
68 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x (/.f64 y a)) (/.f64 (*.f64 z t) a))
5.6b
(*.f64 x (/.f64 y a))
6.0b
(/.f64 (*.f64 z t) a)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 times-frac_binary64
5×add-log-exp_binary64 pow1_binary64
3×associate-/r*_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 associate-*l*_binary64 prod-exp_binary64 div-exp_binary64
2×unswap-sqr_binary64 div-inv_binary64
1×pow-prod-down_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 sub-div_binary64 flip--_binary64 frac-sub_binary64 *-commutative_binary64
Counts
3 → 66
Calls
3 calls:
7.0ms
(-.f64 (*.f64 x (/.f64 y a)) (/.f64 (*.f64 z t) a))
7.0ms
(*.f64 x (/.f64 y a))
5.0ms
(/.f64 (*.f64 z t) a)

series32.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(-.f64 (*.f64 x (/.f64 y a)) (/.f64 (*.f64 z t) a))
6.0ms
(*.f64 x (/.f64 y a))
6.0ms
(/.f64 (*.f64 z t) a)

simplify79.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04958625
14958625

prune30.0ms

Filtered
51 candidates to 75 candidates (-47.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New73275
Fresh369
Picked101
Done011
Total77986

Merged error: 0.0b

Counts
86 → 9

regimes779.0ms

Accuracy

89.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.6b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07543
17543

end0.0ms

sample735.0ms

Algorithm
intervals
Results
284.0ms8000×body80valid
105.0ms2994×body80invalid

Profiling

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