Details

Time bar (total: 9.3s)

sample212.0ms

Algorithm
intervals
Results
116.0ms88×body1280valid
45.0ms53×body640valid
14.0ms79×body80valid
13.0ms23×body320valid
5.0ms13×body160valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune5.0ms

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: 0.4b

Counts
2 → 1

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.1b
(- (cos x) (cos y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-- flip--
28×frac-times associate-*r/
25×add-sqr-sqrt
16×*-un-lft-identity
15×pow1 add-exp-log add-cbrt-cube
14×associate-*l/
12×associate-*r*
8×add-cube-cbrt add-log-exp
7×associate-*l* pow-prod-down prod-exp cbrt-unprod
6×sub-neg difference-of-squares
5×sqrt-prod
4×distribute-rgt-in distribute-lft-in distribute-lft-out--
2×diff-log *-commutative diff-cos unswap-sqr
1×times-frac
Counts
4 → 115
Calls
4 calls:
25.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series60.0ms

Counts
4 → 10
Calls
4 calls:
37.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
13.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

simplify110.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08441973
144131829
250011829

prune411.0ms

Filtered
125 candidates to 88 candidates (29.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New11510125
Fresh000
Picked101
Done000
Total11610126

Merged error: 0.2b

Counts
126 → 10

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.3b
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.1b
(- (cos x) (cos y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*r/
35×flip3-- flip--
32×frac-times
27×add-sqr-sqrt
20×pow1 add-exp-log add-cbrt-cube
18×associate-*r*
17×*-un-lft-identity
16×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt
8×associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in add-log-exp difference-of-squares
4×sqrt-prod distribute-lft-out--
3×*-commutative
2×times-frac diff-cos unswap-sqr
1×diff-log
Counts
4 → 133
Calls
4 calls:
17.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
24.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))

series85.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
40.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
13.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))

simplify117.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08482481
149312282
250022282

prune498.0ms

Filtered
145 candidates to 101 candidates (30.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1423145
Fresh279
Picked101
Done000
Total14510155

Merged error: 0.2b

Counts
155 → 10

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.1b
(- (cos x) (cos y))
2.8b
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
29×flip3-- flip--
28×frac-times associate-*r/
22×add-sqr-sqrt
16×pow1
15×add-exp-log *-un-lft-identity add-cbrt-cube
14×associate-*l/
12×associate-*r*
9×add-cube-cbrt
7×sub-neg log-prod associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
6×distribute-rgt-in distribute-lft-in
4×exp-sum sqrt-prod difference-of-squares
3×log-pow distribute-lft-out--
2×*-commutative diff-cos unswap-sqr
1×exp-prod exp-to-pow times-frac diff-log rem-log-exp
Counts
4 → 118
Calls
4 calls:
24.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))
4.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
15.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))
38.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07842312
142532127
250012127

prune497.0ms

Filtered
130 candidates to 92 candidates (29.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1264130
Fresh459
Picked101
Done000
Total1319140

Merged error: 0.1b

Counts
140 → 9

localize43.0ms

Local error

Found 4 expressions with local error:

2.1b
(- (cos x) (cos y))
2.1b
(- (cos x) (cos y))
2.1b
(- (cos x) (cos y))
2.8b
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y)))))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-log-exp
5×pow1 add-cube-cbrt
4×add-exp-log add-cbrt-cube
3×sub-neg log-prod flip3-- diff-log log-pow flip-- diff-cos distribute-lft-out-- difference-of-squares
1×exp-prod exp-to-pow rem-log-exp
Counts
4 → 59
Calls
4 calls:
6.0ms
(- (cos x) (cos y))
5.0ms
(- (cos x) (cos y))
4.0ms
(- (cos x) (cos y))
3.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y)))))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (cos x) (cos y))
9.0ms
(- (cos x) (cos y))
9.0ms
(- (cos x) (cos y))
38.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y)))))))

simplify94.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0175854
1527728
22805694
35002689

prune209.0ms

Filtered
71 candidates to 53 candidates (25.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New69271
Fresh178
Picked011
Done000
Total701080

Merged error: 0.1b

Counts
80 → 10

regimes210.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05347
15347

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.4s2757×body1280valid
1.4s1758×body640valid
433.0ms763×body320valid
413.0ms2362×body80valid
138.0ms360×body160valid

Profiling

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