Details

Time bar (total: 5.5s)

sample98.0ms

Algorithm
intervals
Results
45.0ms110×body1280valid
19.0ms22×body2560valid
13.0ms52×body640valid
4.0ms26×body320valid
2.0ms32×body80valid
2.0ms14×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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

2.2b
(- (sin (+ x eps)) (sin x))
3.4b
(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))

series60.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (sin (+ x eps)) (sin x))
23.0ms
(sin (+ x eps))

simplify135.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune110.0ms

Filtered
30 candidates to 23 candidates (76.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New24630
Fresh000
Picked101
Done000
Total25631

Merged error: 14.5b

Counts
31 → 6

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))
2.8b
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

rewrite23.0ms

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

series275.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
41.0ms
(* (cos x) (sin eps))
43.0ms
(* (sin x) (cos eps))
106.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0308589
11168554
25001543

prune298.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New661076
Fresh415
Picked101
Done000
Total711182

Merged error: 0.2b

Counts
82 → 11

localize14.0ms

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))
1.2b
(- (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:
8.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
4.0ms
(* (cos x) (sin eps))
10.0ms
(* (sin x) (- (cos eps) 1))
4.0ms
(- (cos eps) 1)

series214.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
44.0ms
(* (cos x) (sin eps))
44.0ms
(* (sin x) (- (cos eps) 1))
18.0ms
(- (cos eps) 1)

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0337546
11279498
25002497

prune322.0ms

Filtered
89 candidates to 55 candidates (61.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh9110
Picked101
Done000
Total8713100

Merged error: 0.0b

Counts
100 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos x) (sin eps))
0.2b
(* (sin x) (- (cos eps) 1))
1.2b
(- (cos eps) 1)
2.2b
(log (exp (* (sin x) (- (cos eps) 1))))

rewrite20.0ms

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:
4.0ms
(* (cos x) (sin eps))
8.0ms
(* (sin x) (- (cos eps) 1))
4.0ms
(- (cos eps) 1)
3.0ms
(log (exp (* (sin x) (- (cos eps) 1))))

series155.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (cos x) (sin eps))
43.0ms
(* (sin x) (- (cos eps) 1))
18.0ms
(- (cos eps) 1)
48.0ms
(log (exp (* (sin x) (- (cos eps) 1))))

simplify132.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0283480
11031424
24524423
35001423

prune281.0ms

Filtered
92 candidates to 58 candidates (63.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh01212
Picked011
Done000
Total9213105

Merged error: 0.0b

Counts
105 → 13

regimes184.0ms

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

sample3.0s

Algorithm
intervals
Results
1.4s3267×body1280valid
608.0ms669×body2560valid
486.0ms1787×body640valid
131.0ms787×body320valid
59.0ms1123×body80valid
41.0ms367×body160valid

Profiling

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