Details

Time bar (total: 3.4s)

sample49.0ms

Algorithm
intervals
Results
22.0ms113×body5120exit
7.0ms216×body80valid
3.0ms95×body80overflowed
3.0ms24×body320valid
2.0ms14×body640valid
1.0ms8×body160valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0209
1489
21079
32248
415148
550028

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.9b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.0b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
3.3b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt times-frac
8×add-cbrt-cube add-log-exp
7×add-exp-log
6×pow1
5×distribute-rgt-out distribute-rgt1-in associate-/r*
3×associate-*r* associate-*l* associate-/l*
2×flip3-- flip3-+ div-sub associate-/r/ flip-- flip-+ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 87
Calls
4 calls:
5.0ms
(* wj (exp wj))
4.0ms
(+ (exp wj) (* wj (exp wj)))
9.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
13.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series160.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* wj (exp wj))
33.0ms
(+ (exp wj) (* wj (exp wj)))
38.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
57.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0394942
11478877
25001855

prune208.0ms

Filtered
99 candidates to 81 candidates (81.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New94599
Fresh101
Picked101
Done000
Total965101

Merged error: 0.2b

Counts
101 → 5

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(* wj (- wj (* 2 x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* wj (- wj (* 2 x)))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* wj (- wj (* 2 x)))

simplify84.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0123129
1529108
22630108
35002108

prune41.0ms

Filtered
27 candidates to 16 candidates (59.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh044
Picked011
Done000
Total27532

Merged error: 0.2b

Counts
32 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (+ wj 1) (exp wj)) (exp wj))
0.0b
(* (+ wj 1) (exp wj))
0.0b
(/ x (+ (exp wj) (* wj (exp wj))))
6.1b
(- wj (/ wj (/ (* (+ wj 1) (exp wj)) (exp wj))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
25×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt
13×add-cbrt-cube
9×add-exp-log
8×associate-/r*
6×pow1 add-log-exp
4×distribute-rgt-out associate-*l* associate-*l/ distribute-rgt1-in associate-/l*
3×cbrt-undiv flip3-+ div-exp associate-*r* flip-+
2×frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod div-inv associate-/l/ difference-of-squares
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
4 → 96
Calls
4 calls:
9.0ms
(/ (* (+ wj 1) (exp wj)) (exp wj))
7.0ms
(* (+ wj 1) (exp wj))
5.0ms
(/ x (+ (exp wj) (* wj (exp wj))))
10.0ms
(- wj (/ wj (/ (* (+ wj 1) (exp wj)) (exp wj))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* (+ wj 1) (exp wj)) (exp wj))
37.0ms
(* (+ wj 1) (exp wj))
44.0ms
(/ x (+ (exp wj) (* wj (exp wj))))
29.0ms
(- wj (/ wj (/ (* (+ wj 1) (exp wj)) (exp wj))))

simplify78.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0462779
12489646
25002639

prune228.0ms

Filtered
108 candidates to 85 candidates (78.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh123
Picked101
Done011
Total1085113

Merged error: 0.0b

Counts
113 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow wj 4) (pow wj 2))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.0b
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b
(/ x (+ (exp wj) (* wj (exp wj))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
14×add-cube-cbrt
13×add-log-exp
6×add-exp-log add-cbrt-cube
5×distribute-rgt-out distribute-rgt1-in associate-/r*
4×pow1 difference-of-squares
3×flip3-+ sum-log flip-+ associate-/l*
2×+-commutative diff-log associate-/r/ distribute-lft-out distribute-lft-out--
1×cbrt-undiv sub-neg unpow-prod-down flip3-- frac-2neg cube-prod div-exp associate--l+ clear-num flip-- div-inv sqr-pow
Counts
4 → 82
Calls
4 calls:
7.0ms
(+ (pow wj 4) (pow wj 2))
4.0ms
(+ (exp wj) (* wj (exp wj)))
12.0ms
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
5.0ms
(/ x (+ (exp wj) (* wj (exp wj))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ (pow wj 4) (pow wj 2))
34.0ms
(+ (exp wj) (* wj (exp wj)))
25.0ms
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
49.0ms
(/ x (+ (exp wj) (* wj (exp wj))))

simplify43.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0375702
11433644
25001628

prune247.0ms

Filtered
94 candidates to 73 candidates (77.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New92294
Fresh123
Picked101
Done011
Total94599

Merged error: 0b

Counts
99 → 5

regimes49.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02110
12110

end0.0ms

sample1.6s

Algorithm
intervals
Results
805.0ms3876×body5120exit
223.0ms6340×body80valid
118.0ms3766×body80overflowed
87.0ms806×body320valid
72.0ms430×body640valid
35.0ms498×body160valid

Profiling

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