Details

Time bar (total: 4.2s)

sample99.0ms

Algorithm
intervals
Results
51.0ms114×body1280valid
15.0ms17×body2560valid
15.0ms61×body640valid
4.0ms22×body320valid
2.0ms32×body80valid
1.0ms10×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.8b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.3b
(- (sin (+ x eps)) (sin x))
2.6b
(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))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (sin (+ x eps)) (sin x))
5.0ms
(sin (+ x eps))

simplify140.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune61.0ms

Filtered
23 candidates to 30 candidates (-30.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New23730
Fresh000
Picked101
Done000
Total24731

Merged error: 12.7b

Counts
31 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos x) (sin eps))
0.2b
(- (* (cos x) (sin eps)) (sin x))
0.2b
(* (sin x) (cos eps))
2.9b
(+ (* (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))
4.0ms
(- (* (cos x) (sin eps)) (sin x))
4.0ms
(* (sin x) (cos eps))
10.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (cos x) (sin eps))
12.0ms
(- (* (cos x) (sin eps)) (sin x))
9.0ms
(* (sin x) (cos eps))
22.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0348614
11352580
25002565

prune126.0ms

Filtered
55 candidates to 78 candidates (-41.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New651378
Fresh606
Picked101
Done000
Total721385

Merged error: 0.2b

Counts
85 → 13

localize16.0ms

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))
1.6b
(- (cos eps) 1)

rewrite25.0ms

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))
7.0ms
(* (sin x) (- (cos eps) 1))
4.0ms
(- (cos eps) 1)

series42.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
9.0ms
(* (cos x) (sin eps))
9.0ms
(* (sin x) (- (cos eps) 1))
3.0ms
(- (cos eps) 1)

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0337546
11279498
25002497

prune144.0ms

Filtered
56 candidates to 89 candidates (-58.9%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New781189
Fresh8412
Picked101
Done000
Total8715102

Merged error: 0.1b

Counts
102 → 15

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))
0.2b
(* (sin x) (cos eps))
1.6b
(+ (* (sin x) (cos eps)) (* -1 (sin x)))

rewrite22.0ms

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)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (+ (* (sin x) (cos eps)) (* -1 (sin x))) (* (cos x) (sin eps)))
9.0ms
(* (cos x) (sin eps))
11.0ms
(* (sin x) (cos eps))
11.0ms
(+ (* (sin x) (cos eps)) (* -1 (sin x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0336562
11358507
25002494

prune70.0ms

Filtered
56 candidates to 77 candidates (-37.5%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New76177
Fresh11314
Picked101
Done000
Total781492

Merged error: 0.1b

Counts
92 → 14

regimes174.0ms

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
02515
12515

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s3368×body1280valid
535.0ms573×body2560valid
468.0ms1841×body640valid
127.0ms779×body320valid
56.0ms1087×body80valid
39.0ms352×body160valid

Profiling

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