Details

Time bar (total: 5.1s)

sample96.0ms

Algorithm
intervals
Results
46.0ms110×body1280valid
25.0ms28×body2560valid
10.0ms39×body640valid
4.0ms22×body320valid
2.0ms47×body80valid
1.0ms10×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: 32.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.0b
(- (sin (+ x eps)) (sin x))
2.3b
(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))

series61.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (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
1301165
2937164
33445164
45001164

prune78.0ms

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: 15.7b

Counts
31 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos x) (sin eps)) (sin x))
0.1b
(* (cos x) (sin eps))
0.1b
(* (sin x) (cos eps))
2.2b
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-log-exp
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
3×sin-cos-mult
2×sub-neg associate-+r+ flip3-- diff-log pow-prod-down frac-add prod-exp sum-log *-commutative flip-- cbrt-unprod unswap-sqr
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 66
Calls
4 calls:
4.0ms
(- (* (cos x) (sin eps)) (sin x))
4.0ms
(* (cos x) (sin eps))
4.0ms
(* (sin x) (cos eps))
9.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* (cos x) (sin eps)) (sin x))
46.0ms
(* (cos x) (sin eps))
42.0ms
(* (sin x) (cos eps))
112.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0348614
11352580
25002565

prune222.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New70878
Fresh505
Picked101
Done000
Total76884

Merged error: 0.1b

Counts
84 → 8

localize14.0ms

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))
0.9b
(- (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))
5.0ms
(* (cos x) (sin eps))
4.0ms
(- (cos eps) 1)

series216.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
44.0ms
(* (sin x) (- (cos eps) 1))
45.0ms
(* (cos x) (sin eps))
18.0ms
(- (cos eps) 1)

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0337546
11279498
25002497

prune231.0ms

Filtered
89 candidates to 56 candidates (62.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh347
Picked101
Done000
Total861197

Merged error: 0.0b

Counts
97 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (+ (* (sin x) (cos eps)) (* -1 (sin x))) (* (cos x) (sin eps)))
0.1b
(* (cos x) (sin eps))
0.1b
(* (sin x) (cos eps))
1.0b
(+ (* (sin x) (cos eps)) (* -1 (sin x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-log-exp
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
4×mul-1-neg sum-log
2×+-commutative associate-+l- flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×associate-+l+ sin-cos-mult
Counts
4 → 65
Calls
4 calls:
8.0ms
(+ (+ (* (sin x) (cos eps)) (* -1 (sin x))) (* (cos x) (sin eps)))
4.0ms
(* (cos x) (sin eps))
4.0ms
(* (sin x) (cos eps))
5.0ms
(+ (* (sin x) (cos eps)) (* -1 (sin x)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(+ (+ (* (sin x) (cos eps)) (* -1 (sin x))) (* (cos x) (sin eps)))
46.0ms
(* (cos x) (sin eps))
42.0ms
(* (sin x) (cos eps))
59.0ms
(+ (* (sin x) (cos eps)) (* -1 (sin x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0336562
11358507
25002494

prune190.0ms

Filtered
77 candidates to 56 candidates (72.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh1910
Picked011
Done000
Total771188

Merged error: 0.0b

Counts
88 → 11

regimes101.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b 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
1.5s3304×body1280valid
610.0ms645×body2560valid
472.0ms1840×body640valid
136.0ms751×body320valid
59.0ms1111×body80valid
40.0ms349×body160valid

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