Details

Time bar (total: 5.9s)

sample38.0ms

Algorithm
intervals
Results
12.0ms257×body80valid
11.0ms288×body80nan

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949386
1050026

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.2b
(* (+ y 0.5) (log y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt
6×pow1 distribute-rgt-in distribute-lft-in associate--r+
5×add-exp-log add-cbrt-cube
4×associate-*r* associate-*l*
2×sub-neg associate-+l+ flip3-+ diff-log associate-*l/ sum-log flip-+ distribute-lft-out
1×+-commutative associate-+l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(- x (* (+ y 0.5) (log y)))
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms
(* (+ y 0.5) (log y))

series321.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- x (* (+ y 0.5) (log y)))
42.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
238.0ms
(* (+ y 0.5) (log y))

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0364458
11327417
25001404

prune151.0ms

Filtered
71 candidates to 53 candidates (74.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66571
Fresh000
Picked011
Done000
Total66672

Merged error: 0.0b

Counts
72 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×associate-*r/ associate-*l* frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 108
Calls
4 calls:
9.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.6s

Counts
4 → 12
Calls
4 calls:
458.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
779.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
177.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06401104
12507971
25003939

prune331.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh134
Picked011
Done011
Total1206126

Merged error: 0.0b

Counts
126 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.5 (* 3 y))
0.1b
(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
0.3b
(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
5.0b
(pow y 1/3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube
4×associate-*l*
3×unpow-prod-down pow-unpow flip3-+ associate-*r* sum-log flip-+
2×+-commutative associate-+l+ associate-*r/
1×distribute-rgt-in pow-to-exp associate-+l- sub-neg pow-pow distribute-lft-in unpow1/3 diff-log pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 68
Calls
4 calls:
3.0ms
(+ 1.5 (* 3 y))
9.0ms
(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
6.0ms
(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
2.0ms
(pow y 1/3)

series754.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ 1.5 (* 3 y))
90.0ms
(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
451.0ms
(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
178.0ms
(pow y 1/3)

simplify53.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0394512
11692444
25002428

prune176.0ms

Filtered
80 candidates to 56 candidates (70.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New79180
Fresh033
Picked101
Done022
Total80686

Merged error: 0.0b

Counts
86 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.5 (* 3 y))
0.1b
(+ (- x (* 1/3 (* (log y) (+ 1.5 (* 3 y))))) y)
0.3b
(* (log y) (+ 1.5 (* 3 y)))
0.4b
(* 1/3 (* (log y) (+ 1.5 (* 3 y))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-exp-log add-cbrt-cube add-log-exp
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt associate-*l*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in
4×flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
3×sum-log
2×+-commutative associate-+l+ *-commutative
1×associate-+l- sub-neg diff-log log-pow distribute-lft-out unswap-sqr
Counts
4 → 74
Calls
4 calls:
3.0ms
(+ 1.5 (* 3 y))
5.0ms
(+ (- x (* 1/3 (* (log y) (+ 1.5 (* 3 y))))) y)
6.0ms
(* (log y) (+ 1.5 (* 3 y)))
7.0ms
(* 1/3 (* (log y) (+ 1.5 (* 3 y))))

series777.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ 1.5 (* 3 y))
46.0ms
(+ (- x (* 1/3 (* (log y) (+ 1.5 (* 3 y))))) y)
249.0ms
(* (log y) (+ 1.5 (* 3 y)))
452.0ms
(* 1/3 (* (log y) (+ 1.5 (* 3 y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0440617
11759526
25002513

prune154.0ms

Filtered
86 candidates to 59 candidates (68.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh033
Picked011
Done022
Total86692

Merged error: 0.0b

Counts
92 → 6

regimes132.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample1.0s

Algorithm
intervals
Results
369.0ms8044×body80valid
320.0ms8148×body80nan
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

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