Details

Time bar (total: 3.1s)

analyze331.0ms

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

sample48.0ms

Algorithm
intervals
Results
23.0ms107×body5120exit
7.0ms188×body80valid
4.0ms34×body320valid
3.0ms16×body640valid
1.0ms18×body160valid
0.0ms4×body80invalid
0.0ms1×body80overflowed

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0619612

prune9.0ms

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: 15.3b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (exp wj))
0.0b
(/ (- (/ x (exp wj)) wj) (+ wj 1))
6.0b
(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

rewrite39.0ms

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:
4.0ms
(/ x (exp wj))
12.0ms
(/ (- (/ x (exp wj)) wj) (+ wj 1))
20.0ms
(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ x (exp wj))
10.0ms
(/ (- (/ x (exp wj)) wj) (+ wj 1))
10.0ms
(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))

simplify56.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
058601345

prune125.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh011
Picked101
Done000
Total975102

Merged error: 0.4b

Counts
102 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* wj (+ wj (* x -2))))
0.0b
(* 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:
3.0ms
(+ x (* wj (+ wj (* x -2))))
5.0ms
(* wj (+ wj (* x -2)))

series12.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04935405
14935405

prune64.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh044
Picked011
Done000
Total39746

Merged error: 0.4b

Counts
46 → 7

localize10.0ms

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)

rewrite13.0ms

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)
2.0ms
(cbrt wj)

series91.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt wj) (cbrt wj))
21.0ms
(cbrt wj)
21.0ms
(cbrt wj)
22.0ms
(cbrt wj)

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05165356

prune98.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh145
Picked101
Done011
Total85792

Merged error: 0.4b

Counts
92 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt wj)
0.7b
(cbrt wj)
0.7b
(cbrt wj)
16.4b
(log (exp (cbrt wj)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×exp-prod
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×log-prod pow1/3
1×rem-log-exp
Counts
4 → 51
Calls
4 calls:
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)
3.0ms
(log (exp (cbrt wj)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt wj)
21.0ms
(cbrt wj)
21.0ms
(cbrt wj)
22.0ms
(log (exp (cbrt wj)))

simplify47.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05610231

prune65.0ms

Filtered
44 candidates to 63 candidates (-43.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New61263
Fresh055
Picked101
Done011
Total62870

Merged error: 0.4b

Counts
70 → 8

regimes194.0ms

Accuracy

88.1% (0.2b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 2.3b

bsearch35.0ms

Steps
ItersRangePoint
8
9.428005599975736e-13
1.7351270743893796e-08
1.6940097534747777e-08
9
-7.734913369102179e-05
-8.717299759105235e-11
-6.170330481140069e-09

simplify11.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
051071
151071

end0.0ms

sample1.5s

Algorithm
intervals
Results
854.0ms3815×body5120exit
224.0ms6140×body80valid
94.0ms833×body320valid
77.0ms456×body640valid
41.0ms571×body160valid
3.0ms75×body80invalid
1.0ms17×body80overflowed

Profiling

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