Details

Time bar (total: 5.3s)

sample92.0ms

Algorithm
intervals
Results
45.0ms108×body1280valid
17.0ms68×body640valid
14.0ms16×body2560valid
3.0ms19×body320valid
2.0ms34×body80valid
2.0ms11×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

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: 36.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.9b
(- (sin (+ x eps)) (sin x))
4.6b
(sin (+ x eps))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-log-exp
2×pow1 add-exp-log add-cube-cbrt sin-sum add-cbrt-cube
1×sub-neg flip3-- diff-log diff-sin associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 24
Calls
2 calls:
7.0ms
(- (sin (+ x eps)) (sin x))
4.0ms
(sin (+ x eps))

series69.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- (sin (+ x eps)) (sin x))
19.0ms
(sin (+ x eps))

simplify141.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune76.0ms

Filtered
30 candidates to 23 candidates (76.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New23730
Fresh000
Picked101
Done000
Total24731

Merged error: 11.4b

Counts
31 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin x) (cos eps))
0.2b
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
0.2b
(* (cos x) (sin eps))
2.6b
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×add-log-exp
10×*-un-lft-identity
8×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r* associate-*l*
2×diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
1×+-commutative sub-neg flip3-- flip3-+ associate--l+ sin-cos-mult flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 64
Calls
4 calls:
4.0ms
(* (sin x) (cos eps))
6.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
5.0ms
(* (cos x) (sin eps))
8.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series300.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (sin x) (cos eps))
92.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
42.0ms
(* (cos x) (sin eps))
117.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0308589
11168554
25001543

prune209.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New661076
Fresh606
Picked101
Done000
Total731083

Merged error: 0.2b

Counts
83 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
0.2b
(* (cos x) (sin eps))
0.2b
(* (sin x) (- (cos eps) 1))
1.5b
(- (cos eps) 1)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×*-un-lft-identity
10×associate-*r*
8×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
6×associate-*l*
5×sub-neg
4×distribute-rgt-in associate-+l+ distribute-lft-in difference-of-squares
2×flip3-- difference-of-sqr-1 associate-*r/ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 77
Calls
4 calls:
9.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
4.0ms
(* (cos x) (sin eps))
7.0ms
(* (sin x) (- (cos eps) 1))
4.0ms
(- (cos eps) 1)

series439.0ms

Counts
4 → 12
Calls
4 calls:
326.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
43.0ms
(* (cos x) (sin eps))
50.0ms
(* (sin x) (- (cos eps) 1))
20.0ms
(- (cos eps) 1)

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0337546
11279498
25002497

prune234.0ms

Filtered
89 candidates to 56 candidates (62.9%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh549
Picked101
Done000
Total851499

Merged error: 0.1b

Counts
99 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (+ (* (sin x) (cos eps)) (* -1 (sin x))) (* (cos x) (sin eps)))
0.2b
(* (sin x) (cos eps))
0.2b
(* (cos x) (sin eps))
1.3b
(+ (* (sin x) (cos eps)) (* -1 (sin x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-log-exp
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
4×mul-1-neg sum-log
2×+-commutative associate-+l- flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×associate-+l+ sin-cos-mult
Counts
4 → 65
Calls
4 calls:
8.0ms
(+ (+ (* (sin x) (cos eps)) (* -1 (sin x))) (* (cos x) (sin eps)))
4.0ms
(* (sin x) (cos eps))
8.0ms
(* (cos x) (sin eps))
5.0ms
(+ (* (sin x) (cos eps)) (* -1 (sin x)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(+ (+ (* (sin x) (cos eps)) (* -1 (sin x))) (* (cos x) (sin eps)))
45.0ms
(* (sin x) (cos eps))
48.0ms
(* (cos x) (sin eps))
55.0ms
(+ (* (sin x) (cos eps)) (* -1 (sin x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0336562
11358507
25002494

prune178.0ms

Filtered
77 candidates to 56 candidates (72.7%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New75277
Fresh11213
Picked011
Done000
Total761591

Merged error: 0.1b

Counts
91 → 15

regimes134.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s3297×body1280valid
552.0ms609×body2560valid
514.0ms1903×body640valid
129.0ms741×body320valid
57.0ms1094×body80valid
39.0ms356×body160valid

Profiling

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