Details

Time bar (total: 5.0s)

sample92.0ms

Algorithm
intervals
Results
37.0ms92×body1280valid
20.0ms22×body2560valid
14.0ms61×body640valid
5.0ms27×body320valid
2.0ms42×body80valid
1.0ms12×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.8b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

1.0b
(- (sin (+ x eps)) (sin x))
3.9b
(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))
5.0ms
(sin (+ x eps))

series14.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (sin (+ x eps)) (sin x))
6.0ms
(sin (+ x eps))

simplify136.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune93.0ms

Filtered
30 candidates to 23 candidates (23.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New23730
Fresh000
Picked101
Done000
Total24731

Merged error: 13.0b

Counts
31 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos x) (sin eps))
0.1b
(- (* (cos x) (sin eps)) (sin x))
0.1b
(* (sin x) (cos eps))
1.9b
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

rewrite26.0ms

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))
6.0ms
(* (sin x) (cos eps))
9.0ms
(+ (* (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))
21.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0348614
11352580
25002565

prune319.0ms

Filtered
78 candidates to 55 candidates (29.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New661278
Fresh516
Picked101
Done000
Total721385

Merged error: 0.2b

Counts
85 → 13

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))
2.5b
(- (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)))
6.0ms
(* (cos x) (sin eps))
7.0ms
(* (sin x) (- (cos eps) 1))
4.0ms
(- (cos eps) 1)

series41.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
9.0ms
(* (cos x) (sin eps))
8.0ms
(* (sin x) (- (cos eps) 1))
3.0ms
(- (cos eps) 1)

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0333546
11271498
25001497

prune518.0ms

Filtered
89 candidates to 56 candidates (37.1%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New81889
Fresh5712
Picked101
Done000
Total8715102

Merged error: 0.1b

Counts
102 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (+ (* (sin x) (cos eps)) (neg (sin x))) (* (cos x) (sin eps)))
0.1b
(* (cos x) (sin eps))
0.1b
(* (sin x) (cos eps))
2.5b
(+ (* (sin x) (cos eps)) (neg (sin x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
7×sum-log
6×associate-*r* associate-*l*
3×associate-+l-
2×+-commutative neg-sub0 associate-+r- flip3-+ unsub-neg pow-prod-down neg-log prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×associate-+l+ sin-cos-mult
Counts
4 → 69
Calls
4 calls:
9.0ms
(+ (+ (* (sin x) (cos eps)) (neg (sin x))) (* (cos x) (sin eps)))
4.0ms
(* (cos x) (sin eps))
5.0ms
(* (sin x) (cos eps))
6.0ms
(+ (* (sin x) (cos eps)) (neg (sin x)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (+ (* (sin x) (cos eps)) (neg (sin x))) (* (cos x) (sin eps)))
9.0ms
(* (cos x) (sin eps))
8.0ms
(* (sin x) (cos eps))
13.0ms
(+ (* (sin x) (cos eps)) (neg (sin x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0339587
11426529
25001516

prune260.0ms

Filtered
81 candidates to 56 candidates (30.9%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh11314
Picked011
Done000
Total811596

Merged error: 0.1b

Counts
96 → 15

regimes211.0ms

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
01510
11510

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s3394×body1280valid
540.0ms596×body2560valid
440.0ms1823×body640valid
120.0ms698×body320valid
62.0ms1138×body80valid
42.0ms351×body160valid

Profiling

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