Details

Time bar (total: 5.1s)

sample96.0ms

Algorithm
intervals
Results
51.0ms116×body1280valid
18.0ms72×body640valid
13.0ms15×body2560valid
2.0ms16×body320valid
2.0ms30×body80valid
1.0ms7×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: 37.2b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b
(- (sin (+ x eps)) (sin x))
2.9b
(sin (+ x eps))

rewrite12.0ms

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))

series61.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (sin (+ x eps)) (sin x))
17.0ms
(sin (+ x eps))

simplify142.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0133175
1301166
2937164
33445164
45001164

prune81.0ms

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: 15.1b

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))
0.2b
(* (sin x) (cos eps))
1.8b
(- (+ (* (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)))
4.0ms
(* (cos x) (sin eps))
4.0ms
(* (sin x) (cos eps))
9.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series291.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
43.0ms
(* (cos x) (sin eps))
47.0ms
(* (sin x) (cos eps))
112.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0308589
11168555
25001543

prune218.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New67976
Fresh606
Picked101
Done000
Total74983

Merged error: 0.3b

Counts
83 → 9

localize15.0ms

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)

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))
5.0ms
(- (cos eps) 1)

series223.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
42.0ms
(* (cos x) (sin eps))
51.0ms
(* (sin x) (- (cos eps) 1))
19.0ms
(- (cos eps) 1)

simplify53.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0337548
11280501
25001499

prune234.0ms

Filtered
89 candidates to 56 candidates (62.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New80989
Fresh448
Picked101
Done000
Total851398

Merged error: 0.1b

Counts
98 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos x) (sin eps))
0.2b
(* (sin x) (log (exp (- (cos eps) 1))))
1.2b
(- (cos eps) 1)
1.3b
(log (exp (- (cos eps) 1)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×*-un-lft-identity
16×log-pow
15×log-prod
14×exp-prod associate-*r*
13×add-cube-cbrt
10×pow1
8×add-exp-log add-cbrt-cube
6×associate-*l* exp-sum add-log-exp difference-of-squares
5×distribute-rgt-in distribute-lft-in
4×sub-neg
3×difference-of-sqr-1 distribute-lft-out--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
4 → 92
Calls
4 calls:
4.0ms
(* (cos x) (sin eps))
10.0ms
(* (sin x) (log (exp (- (cos eps) 1))))
4.0ms
(- (cos eps) 1)
5.0ms
(log (exp (- (cos eps) 1)))

series134.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (cos x) (sin eps))
45.0ms
(* (sin x) (log (exp (- (cos eps) 1))))
18.0ms
(- (cos eps) 1)
23.0ms
(log (exp (- (cos eps) 1)))

simplify135.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0287592
11044493
24516482
35002482

prune229.0ms

Filtered
104 candidates to 66 candidates (63.5%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1040104
Fresh01212
Picked011
Done000
Total10413117

Merged error: 0.1b

Counts
117 → 13

regimes119.0ms

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
1.5s3323×body1280valid
536.0ms575×body2560valid
479.0ms1857×body640valid
137.0ms769×body320valid
60.0ms1117×body80valid
46.0ms359×body160valid

Profiling

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