Details

Time bar (total: 14.6s)

sample212.0ms

Algorithm
intervals
Results
107.0ms85×body1280valid
51.0ms63×body640valid
13.0ms70×body80valid
12.0ms23×body320valid
5.0ms15×body160valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune11.0ms

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: 0.5b

Counts
2 → 1

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.8b
(- (cos x) (cos y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-cube-cbrt add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg
5×sqrt-prod
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
2×times-frac diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 94
Calls
4 calls:
18.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
5.0ms
(- (cos x) (cos y))

series287.0ms

Counts
4 → 10
Calls
4 calls:
134.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
91.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
62.0ms
(- (cos x) (cos y))

simplify73.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06221094
126431002
250031002

prune513.0ms

Filtered
104 candidates to 70 candidates (67.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh000
Picked101
Done000
Total987105

Merged error: 0.3b

Counts
105 → 7

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
0.4b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.8b
(- (cos x) (cos y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
14×associate-*r/
12×associate-*r*
11×pow1
10×add-cube-cbrt
8×flip3-- flip--
7×associate-*l*
6×add-log-exp
5×sub-neg times-frac prod-exp cbrt-unprod difference-of-squares
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down associate-*l/ sqrt-prod associate-/r/
3×flip3-+ flip-+ associate-/l* distribute-lft-out--
2×cbrt-undiv div-exp frac-add *-commutative associate-/l/ unswap-sqr
1×frac-2neg diff-log clear-num associate-/r* div-inv diff-cos
Counts
4 → 106
Calls
4 calls:
11.0ms
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
21.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- (cos x) (cos y))

series2.0s

Counts
4 → 12
Calls
4 calls:
1.7s
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
137.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
90.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
52.0ms
(- (cos x) (cos y))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010752447
150012151

prune697.0ms

Filtered
118 candidates to 83 candidates (70.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1108118
Fresh426
Picked101
Done000
Total11510125

Merged error: 0.0b

Counts
125 → 10

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 3.0) (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
0.4b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.8b
(- (cos x) (cos y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
33×add-exp-log
30×*-un-lft-identity
29×associate-*r*
27×times-frac
23×add-cbrt-cube
22×add-cube-cbrt
20×associate-*l*
13×pow1
12×prod-exp
11×associate-*r/
8×flip3-- div-exp flip-- cbrt-unprod unswap-sqr
6×add-log-exp
5×frac-times sub-neg pow-prod-down associate-*l/ difference-of-squares
4×cbrt-undiv distribute-rgt-in distribute-lft-in sqrt-prod associate-/r/
3×*-commutative distribute-lft-out--
2×rec-exp flip3-+ 1-exp frac-add flip-+ div-inv
1×diff-log diff-cos
Counts
4 → 139
Calls
4 calls:
16.0ms
(* (/ 1 3.0) (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
19.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))

series2.0s

Counts
4 → 12
Calls
4 calls:
1.8s
(* (/ 1 3.0) (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
138.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
92.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
53.0ms
(- (cos x) (cos y))

simplify65.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012613936
150023485

prune902.0ms

Filtered
151 candidates to 104 candidates (68.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1483151
Fresh279
Picked101
Done000
Total15110161

Merged error: 0.0b

Counts
161 → 10

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.8b
(- (cos x) (cos y))
3.5b
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r* associate-*l*
10×pow1 add-cube-cbrt
8×add-exp-log add-cbrt-cube add-log-exp
7×sub-neg log-prod
6×distribute-rgt-in distribute-lft-in log-pow
5×difference-of-squares
4×associate-*r/ exp-sum sqrt-prod
3×flip3-- flip-- distribute-lft-out-- unswap-sqr
2×exp-prod exp-to-pow times-frac pow-prod-down prod-exp *-commutative cbrt-unprod
1×diff-log rem-log-exp diff-cos
Counts
4 → 94
Calls
4 calls:
16.0ms
(* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0)))
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)))))

series405.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0)))
109.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
59.0ms
(- (cos x) (cos y))
94.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
04521074
11736958
25001958

prune576.0ms

Filtered
106 candidates to 73 candidates (68.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1051106
Fresh189
Picked101
Done000
Total1079116

Merged error: 0.0b

Counts
116 → 9

regimes184.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05237
15237

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.2s2703×body1280valid
1.7s1866×body640valid
412.0ms749×body320valid
394.0ms2307×body80valid
138.0ms375×body160valid