Details

Time bar (total: 3.1s)

analyze318.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%68.7%12.6%6
28.1%59.3%12.6%7
32.8%48.4%18.8%8
38.2%42.9%18.8%9
41%37.1%22%10
43.9%34.1%22%11
45.5%31%23.5%12
46.9%29.6%23.5%13
47.7%28%24.3%14

sample45.0ms

Algorithm
intervals
Results
22.0ms106×body5120exit
6.0ms187×body80valid
3.0ms27×body320valid
3.0ms16×body640valid
2.0ms26×body160valid
0.0ms1×body80invalid
0.0ms1×body80overflowed

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0619612

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.6b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- (/ x (exp wj)) wj) (+ wj 1))
0.0b
(/ x (exp wj))
7.1b
(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
48×add-sqr-sqrt
38×times-frac
23×add-cube-cbrt
10×difference-of-squares
9×associate-/l*
8×distribute-lft-out
7×associate-/r* add-cbrt-cube
6×add-exp-log
5×distribute-lft-out-- add-log-exp
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-sub div-exp clear-num associate-/r/ flip-+ div-inv associate-/l/
1×+-commutative associate-+r- flip3-- sum-log flip--
Counts
3 → 91
Calls
3 calls:
11.0ms
(/ (- (/ x (exp wj)) wj) (+ wj 1))
4.0ms
(/ x (exp wj))
19.0ms
(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (- (/ x (exp wj)) wj) (+ wj 1))
7.0ms
(/ x (exp wj))
9.0ms
(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

simplify53.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
058601345

prune123.0ms

Filtered
73 candidates to 100 candidates (-37.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New955100
Fresh101
Picked101
Done000
Total975102

Merged error: 0.6b

Counts
102 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* wj (+ wj (* x -2)))
0.0b
(+ x (* wj (+ wj (* x -2))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
5.0ms
(* wj (+ wj (* x -2)))
3.0ms
(+ x (* wj (+ wj (* x -2))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* wj (+ wj (* x -2)))
6.0ms
(+ x (* wj (+ wj (* x -2))))

simplify49.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04935405
14935405

prune66.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New37441
Fresh044
Picked011
Done000
Total37946

Merged error: 0.6b

Counts
46 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* wj (+ wj (* x -2)))) (cbrt (* wj (+ wj (* x -2)))))
7.4b
(cbrt (* wj (+ wj (* x -2))))
7.4b
(cbrt (* wj (+ wj (* x -2))))
7.4b
(cbrt (* wj (+ wj (* x -2))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* wj (+ wj (* x -2)))) (cbrt (* wj (+ wj (* x -2)))))
4.0ms
(cbrt (* wj (+ wj (* x -2))))
4.0ms
(cbrt (* wj (+ wj (* x -2))))
6.0ms
(cbrt (* wj (+ wj (* x -2))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (cbrt (* wj (+ wj (* x -2)))) (cbrt (* wj (+ wj (* x -2)))))
42.0ms
(cbrt (* wj (+ wj (* x -2))))
44.0ms
(cbrt (* wj (+ wj (* x -2))))
42.0ms
(cbrt (* wj (+ wj (* x -2))))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04884982
14884982

prune182.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New81384
Fresh167
Picked011
Done011
Total821193

Merged error: 0.6b

Counts
93 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt wj) (cbrt wj))
0.7b
(cbrt wj)
0.7b
(cbrt wj)
0.7b
(cbrt wj)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt wj) (cbrt wj))
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)

series88.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt wj) (cbrt wj))
22.0ms
(cbrt wj)
20.0ms
(cbrt wj)
21.0ms
(cbrt wj)

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune79.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh088
Picked101
Done112
Total851196

Merged error: 0.6b

Counts
96 → 11

regimes126.0ms

Accuracy

0% (1.7b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

sample1.5s

Algorithm
intervals
Results
833.0ms3942×body5120exit
221.0ms6154×body80valid
87.0ms762×body320valid
85.0ms504×body640valid
41.0ms580×body160valid
3.0ms80×body80invalid
0.0ms4×body80overflowed

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