Details

Time bar (total: 6.9s)

sample49.0ms

Algorithm
intervals
Results
11.0ms257×body80valid
9.0ms266×body80nan

simplify149.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

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))

rewrite17.0ms

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))

series44.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- x (* (+ y 0.5) (log y)))
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms
(* (+ y 0.5) (log y))

simplify44.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0388492
11420429
25002404

prune325.0ms

Filtered
71 candidates to 51 candidates (28.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New65671
Fresh000
Picked011
Done000
Total65772

Merged error: 0.0b

Counts
72 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.2b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite28.0ms

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)

series224.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
109.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
25.0ms
(cbrt y)
23.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06921155
124321025
25003966

prune1.3s

Filtered
120 candidates to 87 candidates (27.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh055
Picked101
Done011
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (log (pow y 1/3)) (+ y 0.5))
0.2b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
0.7b
(cbrt y)
5.0b
(pow y 1/3)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×distribute-rgt-in distribute-lft-in
24×associate-+l+ log-prod
19×add-sqr-sqrt *-un-lft-identity
17×add-cube-cbrt
15×cbrt-prod
7×pow1 add-exp-log
6×flip3-+ associate-*r/ add-cbrt-cube flip-+ add-log-exp
4×associate-*r* associate-*l* associate-*l/ frac-add
3×unpow-prod-down pow-unpow
2×associate-+r+
1×+-commutative pow-to-exp pow-pow unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 94
Calls
4 calls:
7.0ms
(* (log (pow y 1/3)) (+ y 0.5))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series240.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (log (pow y 1/3)) (+ y 0.5))
142.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
22.0ms
(cbrt y)
20.0ms
(pow y 1/3)

simplify96.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
0666871
13010752
25003702

prune1.3s

Filtered
106 candidates to 84 candidates (20.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh055
Picked011
Done011
Total1067113

Merged error: 0.0b

Counts
113 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
0.1b
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b
(* (sqrt (+ y 0.5)) (log y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
27×distribute-rgt-in distribute-lft-in
25×*-un-lft-identity
23×add-sqr-sqrt
19×add-cube-cbrt
14×sqrt-div associate-*l*
12×pow1 associate--r+
11×add-exp-log add-cbrt-cube add-log-exp
10×associate-*l/
9×sqrt-prod
8×flip3-+ flip-+
5×associate-*r*
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×sub-neg associate-+l+ diff-log associate-*r/ sum-log *-commutative unswap-sqr
1×+-commutative associate-+l- flip3-- log-pow flip--
Counts
4 → 114
Calls
4 calls:
4.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
5.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
12.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
8.0ms
(* (sqrt (+ y 0.5)) (log y))

series56.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
14.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
20.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
12.0ms
(* (sqrt (+ y 0.5)) (log y))

simplify80.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07741257
129521080
250021038

prune1.2s

Filtered
126 candidates to 88 candidates (30.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh044
Picked011
Done022
Total1267133

Merged error: 0.0b

Counts
133 → 7

regimes358.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample1.2s

Algorithm
intervals
Results
342.0ms8040×body80valid
278.0ms8097×body80nan

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