Details

Time bar (total: 5.2s)

sample97.0ms

Algorithm
intervals
Results
42.0ms103×body1280valid
26.0ms29×body2560valid
12.0ms48×body640valid
6.0ms36×body320valid
1.0ms28×body80valid
1.0ms12×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: 41.2b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

1.5b
(- (sin (+ x eps)) (sin x))
4.2b
(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:
6.0ms
(- (sin (+ x eps)) (sin x))
4.0ms
(sin (+ x eps))

series56.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (sin (+ x eps)) (sin x))
17.0ms
(sin (+ x eps))

simplify137.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune80.0ms

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: 16.8b

Counts
31 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
0.1b
(* (sin x) (cos eps))
0.1b
(* (cos x) (sin eps))
2.7b
(- (+ (* (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:
6.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
5.0ms
(* (sin x) (cos eps))
4.0ms
(* (cos x) (sin eps))
9.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series287.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
41.0ms
(* (sin x) (cos eps))
48.0ms
(* (cos x) (sin eps))
110.0ms
(- (+ (* (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

prune219.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New631376
Fresh606
Picked101
Done000
Total701383

Merged error: 0.4b

Counts
83 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
0.1b
(* (sin x) (- (cos eps) 1))
0.1b
(* (cos x) (sin eps))
1.9b
(- (cos eps) 1)

rewrite28.0ms

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

series220.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
45.0ms
(* (sin x) (- (cos eps) 1))
48.0ms
(* (cos x) (sin eps))
19.0ms
(- (cos eps) 1)

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0337546
11279498
25002497

prune428.0ms

Filtered
89 candidates to 56 candidates (62.9%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New80989
Fresh6612
Picked101
Done000
Total8715102

Merged error: 0.1b

Counts
102 → 15

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sin x) (- (cos eps) 1))
0.1b
(* (cos x) (sin eps))
1.9b
(- (cos eps) 1)
2.4b
(log (exp (* (sin x) (- (cos eps) 1))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
15×*-un-lft-identity
10×associate-*r*
9×pow1 add-cube-cbrt
8×add-exp-log add-cbrt-cube
7×log-prod add-log-exp
6×associate-*l*
5×sub-neg
4×distribute-rgt-in distribute-lft-in exp-sum difference-of-squares
3×log-pow
2×flip3-- difference-of-sqr-1 associate-*r/ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
1×exp-prod exp-to-pow diff-log rem-log-exp
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (sin x) (- (cos eps) 1))
5.0ms
(* (cos x) (sin eps))
4.0ms
(- (cos eps) 1)
3.0ms
(log (exp (* (sin x) (- (cos eps) 1))))

series156.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (sin x) (- (cos eps) 1))
42.0ms
(* (cos x) (sin eps))
19.0ms
(- (cos eps) 1)
48.0ms
(log (exp (* (sin x) (- (cos eps) 1))))

simplify133.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0283480
11031424
24524423
35001423

prune196.0ms

Filtered
92 candidates to 59 candidates (64.1%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh01414
Picked011
Done000
Total9215107

Merged error: 0.1b

Counts
107 → 15

regimes121.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s3275×body1280valid
623.0ms700×body2560valid
452.0ms1830×body640valid
130.0ms781×body320valid
61.0ms1106×body80valid
33.0ms308×body160valid

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