Details

Time bar (total: 11.6s)

sample213.0ms

Algorithm
intervals
Results
112.0ms93×body1280valid
53.0ms69×body640valid
12.0ms72×body80valid
9.0ms16×body320valid
2.0ms6×body160valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune5.0ms

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

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)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.4b
(- (cos x) (cos y))

rewrite40.0ms

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))

series271.0ms

Counts
4 → 10
Calls
4 calls:
130.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
86.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
54.0ms
(- (cos x) (cos y))

simplify75.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06221094
126431002
250031002

prune524.0ms

Filtered
104 candidates to 70 candidates (67.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh000
Picked101
Done000
Total978105

Merged error: 0.3b

Counts
105 → 8

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)))))
0.3b
(* (* (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)))
1.4b
(- (cos x) (cos y))

rewrite53.0ms

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:
12.0ms
(/ (+ 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)))
12.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- (cos x) (cos y))

series2.2s

Counts
4 → 12
Calls
4 calls:
1.9s
(/ (+ 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)))))
136.0ms
(* (* (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)))
52.0ms
(- (cos x) (cos y))

simplify49.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010752447
150012151

prune657.0ms

Filtered
118 candidates to 83 candidates (70.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1099118
Fresh707
Picked101
Done000
Total1179126

Merged error: 0.0b

Counts
126 → 9

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.4b
(- (cos x) (cos y))
1.4b
(- (cos x) (cos y))
1.4b
(- (cos x) (cos y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
15×*-un-lft-identity
10×add-log-exp
7×add-cube-cbrt
6×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×sub-neg difference-of-squares
4×flip3-- sqrt-prod flip-- distribute-lft-out--
3×diff-log diff-cos
2×distribute-rgt-in distribute-lft-in associate-*r/ unswap-sqr
1×times-frac pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 76
Calls
4 calls:
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- (cos x) (cos y))
5.0ms
(- (cos x) (cos y))
5.0ms
(- (cos x) (cos y))

series253.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
55.0ms
(- (cos x) (cos y))
51.0ms
(- (cos x) (cos y))
58.0ms
(- (cos x) (cos y))

simplify114.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0270600
1918559
24188555
35001555

prune585.0ms

Filtered
88 candidates to 61 candidates (69.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh088
Picked101
Done000
Total88997

Merged error: 0.0b

Counts
97 → 9

localize54.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.4b
(- (cos x) (cos y))
1.4b
(- (cos x) (cos y))
1.4b
(- (cos x) (cos y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
15×*-un-lft-identity
10×add-log-exp
7×add-cube-cbrt
6×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×sub-neg difference-of-squares
4×flip3-- sqrt-prod flip-- distribute-lft-out--
3×diff-log diff-cos
2×distribute-rgt-in distribute-lft-in associate-*r/ unswap-sqr
1×times-frac pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 76
Calls
4 calls:
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- (cos x) (cos y))
4.0ms
(- (cos x) (cos y))
5.0ms
(- (cos x) (cos y))

series254.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
56.0ms
(- (cos x) (cos y))
51.0ms
(- (cos x) (cos y))
57.0ms
(- (cos x) (cos y))

simplify113.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0270600
1918559
24188555
35001555

prune598.0ms

Filtered
88 candidates to 61 candidates (69.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New88088
Fresh088
Picked011
Done000
Total88997

Merged error: 0.0b

Counts
97 → 9

regimes190.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06072
16072

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.9s2692×body1280valid
1.3s1853×body640valid
361.0ms762×body320valid
342.0ms2345×body80valid
110.0ms348×body160valid