Details

Time bar (total: 6.1s)

sample102.0ms

Algorithm
intervals
Results
42.0ms88×body1280valid
21.0ms24×body2560valid
16.0ms61×body640valid
5.0ms30×body320valid
2.0ms40×body80valid
1.0ms13×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune4.0ms

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: 36.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.2b
(- (sin (+ x eps)) (sin x))
4.1b
(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))

series76.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- (sin (+ x eps)) (sin x))
22.0ms
(sin (+ x eps))

simplify141.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune103.0ms

Filtered
30 candidates to 23 candidates (23.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New22830
Fresh000
Picked101
Done000
Total23831

Merged error: 15.7b

Counts
31 → 8

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))
0.2b
(* (sin x) (cos eps))
2.4b
(- (+ (* (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:
6.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
4.0ms
(* (cos x) (sin eps))
4.0ms
(* (sin x) (cos eps))
8.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series370.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
59.0ms
(* (cos x) (sin eps))
54.0ms
(* (sin x) (cos eps))
145.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0308589
11168554
25001543

prune317.0ms

Filtered
76 candidates to 54 candidates (28.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New68876
Fresh617
Picked101
Done000
Total75984

Merged error: 0.1b

Counts
84 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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
(* (cos x) (sin eps))
7.0ms
(* (sin x) (- (cos eps) 1))
8.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
4.0ms
(- (cos eps) 1)

series287.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (cos x) (sin eps))
57.0ms
(* (sin x) (- (cos eps) 1))
146.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
24.0ms
(- (cos eps) 1)

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0337546
11279498
25001497

prune320.0ms

Filtered
89 candidates to 55 candidates (38.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh268
Picked101
Done000
Total861298

Merged error: 0.1b

Counts
98 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))
1.5b
(- (cos eps) 1)
1.5b
(- (cos eps) 1)
1.5b
(- (cos eps) 1)

rewrite28.0ms

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)

series252.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))
24.0ms
(- (cos eps) 1)
29.0ms
(- (cos eps) 1)
24.0ms
(- (cos eps) 1)

simplify138.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0235935
1839868
23926814
35003797

prune659.0ms

Filtered
124 candidates to 72 candidates (41.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh01111
Picked011
Done000
Total12412136

Merged error: 0.1b

Counts
136 → 12

regimes185.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02017
12017

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s3307×body1280valid
565.0ms630×body2560valid
461.0ms1832×body640valid
132.0ms744×body320valid
65.0ms1140×body80valid
37.0ms347×body160valid

Profiling

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