Details

Time bar (total: 4.3s)

sample89.0ms

Algorithm
intervals
Results
38.0ms95×body1280valid
16.0ms19×body2560valid
14.0ms61×body640valid
5.0ms30×body320valid
2.0ms39×body80valid
1.0ms12×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

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: 36.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.3b
(- (sin (+ x eps)) (sin x))
4.0b
(sin (+ x eps))

rewrite10.0ms

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:
6.0ms
(- (sin (+ x eps)) (sin x))
4.0ms
(sin (+ x eps))

series19.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (sin (+ x eps)) (sin x))
10.0ms
(sin (+ x eps))

simplify134.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune56.0ms

Filtered
30 candidates to 23 candidates (23.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New23730
Fresh000
Picked101
Done000
Total24731

Merged error: 13.1b

Counts
31 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
0.1b
(* (cos x) (sin eps))
0.1b
(* (sin x) (cos eps))
4.3b
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

rewrite24.0ms

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:
5.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
4.0ms
(* (cos x) (sin eps))
5.0ms
(* (sin x) (cos eps))
8.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series60.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
9.0ms
(* (cos x) (sin eps))
9.0ms
(* (sin x) (cos eps))
22.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify40.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0308589
11168554
25001543

prune96.0ms

Filtered
76 candidates to 54 candidates (28.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New70676
Fresh516
Picked101
Done000
Total76783

Merged error: 0.3b

Counts
83 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
0.1b
(* (cos x) (sin eps))
0.2b
(* (sin x) (- (cos eps) 1))
2.4b
(- (cos eps) 1)

rewrite25.0ms

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:
8.0ms
(+ (* (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)

series42.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
9.0ms
(* (cos x) (sin eps))
9.0ms
(* (sin x) (- (cos eps) 1))
3.0ms
(- (cos eps) 1)

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0337546
11279498
25002497

prune130.0ms

Filtered
89 candidates to 55 candidates (38.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New81889
Fresh156
Picked101
Done000
Total831396

Merged error: 0.0b

Counts
96 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))
2.4b
(- (cos eps) 1)
2.4b
(- (cos eps) 1)
2.4b
(- (cos eps) 1)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
41×*-un-lft-identity
40×cbrt-prod
16×difference-of-squares
14×swap-sqr
12×add-cube-cbrt cbrt-div
11×pow1
10×associate-*r* associate-*l* add-log-exp
9×flip3-- difference-of-sqr-1 flip-- distribute-lft-out--
6×add-exp-log pow1/3
4×frac-times add-cbrt-cube unswap-sqr
3×sub-neg diff-log
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 112
Calls
4 calls:
12.0ms
(* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))
4.0ms
(- (cos eps) 1)
4.0ms
(- (cos eps) 1)
4.0ms
(- (cos eps) 1)

series36.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))
3.0ms
(- (cos eps) 1)
3.0ms
(- (cos eps) 1)
3.0ms
(- (cos eps) 1)

simplify131.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0241919
1845852
23933798
35002781

prune165.0ms

Filtered
124 candidates to 72 candidates (41.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh01212
Picked011
Done000
Total12413137

Merged error: 0.0b

Counts
137 → 13

regimes160.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02017
12017

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.4s3364×body1280valid
552.0ms594×body2560valid
472.0ms1876×body640valid
130.0ms784×body320valid
53.0ms1040×body80valid
49.0ms342×body160valid

Profiling

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