Details

Time bar (total: 4.9s)

sample90.0ms

Algorithm
intervals
Results
46.0ms106×body1280valid
14.0ms61×body640valid
13.0ms14×body2560valid
5.0ms31×body320valid
2.0ms31×body80valid
1.0ms13×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: 35.8b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.5b
(- (sin (+ x eps)) (sin x))
2.6b
(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:
7.0ms
(- (sin (+ x eps)) (sin x))
4.0ms
(sin (+ x eps))

series65.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (sin (+ x eps)) (sin x))
18.0ms
(sin (+ x eps))

simplify138.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune74.0ms

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: 16.7b

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))
2.3b
(- (+ (* (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:
6.0ms
(+ (* (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))

series291.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
43.0ms
(* (cos x) (sin eps))
44.0ms
(* (sin x) (cos eps))
114.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0308589
11168554
25001543

prune194.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New70676
Fresh516
Picked101
Done000
Total76783

Merged error: 0.1b

Counts
83 → 7

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

rewrite26.0ms

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

series223.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
43.0ms
(* (cos x) (sin eps))
50.0ms
(* (sin x) (- (cos eps) 1))
19.0ms
(- (cos eps) 1)

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0333546
11271498
25001497

prune202.0ms

Filtered
89 candidates to 55 candidates (61.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh246
Picked101
Done000
Total851196

Merged error: 0.1b

Counts
96 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos x) (sin eps))
0.1b
(* (sin x) (log (exp (- (cos eps) 1))))
1.5b
(- (cos eps) 1)
1.5b
(log (exp (- (cos eps) 1)))

rewrite25.0ms

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:
5.0ms
(* (cos x) (sin eps))
9.0ms
(* (sin x) (log (exp (- (cos eps) 1))))
4.0ms
(- (cos eps) 1)
5.0ms
(log (exp (- (cos eps) 1)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (cos x) (sin eps))
49.0ms
(* (sin x) (log (exp (- (cos eps) 1))))
18.0ms
(- (cos eps) 1)
19.0ms
(log (exp (- (cos eps) 1)))

simplify138.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0287584
11045489
24516482
35002482

prune223.0ms

Filtered
104 candidates to 67 candidates (64.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1040104
Fresh01010
Picked011
Done000
Total10411115

Merged error: 0.1b

Counts
115 → 11

regimes98.0ms

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

sample2.8s

Algorithm
intervals
Results
1.4s3277×body1280valid
609.0ms670×body2560valid
462.0ms1831×body640valid
121.0ms772×body320valid
53.0ms1060×body80valid
42.0ms390×body160valid

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