Details

Time bar (total: 16.8s)

sample203.0ms

Algorithm
intervals
Results
118.0ms101×body1280valid
37.0ms50×body640valid
13.0ms76×body80valid
13.0ms23×body320valid
2.0ms6×body160valid

simplify53.0ms

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: 0.4b

Counts
2 → 1

localize38.0ms

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))
1.3b
(- (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)))
10.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series283.0ms

Counts
4 → 10
Calls
4 calls:
137.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
88.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
58.0ms
(- (cos x) (cos y))

simplify85.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
06221094
126431002
250031002

prune594.0ms

Filtered
104 candidates to 70 candidates (67.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New986104
Fresh000
Picked101
Done000
Total996105

Merged error: 0.3b

Counts
105 → 6

localize39.0ms

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) (neg 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)))
1.3b
(- (cos x) (cos y))

rewrite47.0ms

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) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
17.0ms
(* (* (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)))
4.0ms
(- (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) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
143.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
106.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
57.0ms
(- (cos x) (cos y))

simplify43.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010752447
150012151

prune699.0ms

Filtered
118 candidates to 83 candidates (70.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1099118
Fresh415
Picked101
Done000
Total11410124

Merged error: 0.0b

Counts
124 → 10

localize41.0ms

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) (neg 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)))
1.3b
(- (cos x) (cos y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
66×add-sqr-sqrt
56×*-un-lft-identity
50×add-cube-cbrt
16×add-exp-log add-cbrt-cube
13×associate-/l*
12×associate-*r*
11×pow1
10×associate-*r/
8×flip3-- flip--
7×associate-*l*
6×add-log-exp
5×sub-neg div-inv difference-of-squares
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down associate-*l/ prod-exp sqrt-prod associate-/r/ cbrt-unprod
3×cbrt-undiv div-exp associate-/r* distribute-lft-out--
2×flip3-+ frac-add *-commutative flip-+ unswap-sqr
1×frac-2neg diff-log clear-num diff-cos associate-/l/
Counts
4 → 153
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) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y))))
16.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))

series2.1s

Counts
4 → 12
Calls
4 calls:
1.8s
(/ (/ (+ 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) (neg 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)))
88.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
56.0ms
(- (cos x) (cos y))

simplify68.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012355430
150015132

prune982.0ms

Filtered
165 candidates to 123 candidates (74.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1605165
Fresh459
Picked011
Done000
Total16411175

Merged error: 0b

Counts
175 → 11

localize37.0ms

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)))) (/ (/ 1 3.0) (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (neg 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)))
1.3b
(- (cos x) (cos y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
72×add-sqr-sqrt
59×associate-*r*
51×*-un-lft-identity
44×add-cube-cbrt
26×add-exp-log
20×add-cbrt-cube
13×pow1
11×associate-*r/
10×associate-*l*
9×prod-exp
8×flip3-- flip--
7×cbrt-unprod
6×frac-times div-exp associate-*l/ add-log-exp unswap-sqr
5×sub-neg pow-prod-down difference-of-squares
4×distribute-rgt-in distribute-lft-in flip3-+ sqrt-prod associate-/r/ flip-+ div-inv
3×cbrt-undiv *-commutative distribute-lft-out--
2×frac-add
1×rec-exp diff-log 1-exp diff-cos
Counts
4 → 155
Calls
4 calls:
18.0ms
(* (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (/ (/ 1 3.0) (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
23.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))

series2.1s

Counts
4 → 12
Calls
4 calls:
1.8s
(* (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (/ (/ 1 3.0) (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (neg 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)))
91.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
58.0ms
(- (cos x) (cos y))

simplify79.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
014134507
150014229

prune951.0ms

Filtered
167 candidates to 120 candidates (71.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1661167
Fresh189
Picked011
Done011
Total16711178

Merged error: 0b

Counts
178 → 11

regimes221.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04634
14634

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.4s2780×body1280valid
1.4s1836×body640valid
412.0ms743×body320valid
388.0ms2332×body80valid
114.0ms309×body160valid

Profiling

Loading profile data...