Details

Time bar (total: 5.0s)

sample91.0ms

Algorithm
intervals
Results
44.0ms102×body1280valid
16.0ms18×body2560valid
16.0ms63×body640valid
3.0ms21×body320valid
2.0ms45×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: 33.4b

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))

series59.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (sin (+ x eps)) (sin x))
17.0ms
(sin (+ x eps))

simplify138.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune79.0ms

Filtered
30 candidates to 23 candidates (76.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New22830
Fresh000
Picked101
Done000
Total23831

Merged error: 15.7b

Counts
31 → 8

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))
2.0b
(+ (* (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)) (sin x))
4.0ms
(* (cos x) (sin eps))
4.0ms
(* (sin x) (cos eps))
8.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* (cos x) (sin eps)) (sin x))
45.0ms
(* (cos x) (sin eps))
41.0ms
(* (sin x) (cos eps))
106.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0348614
11352580
25002565

prune211.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New681078
Fresh707
Picked101
Done000
Total761086

Merged error: 0.2b

Counts
86 → 10

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))
2.4b
(- (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)))
7.0ms
(* (sin x) (- (cos eps) 1))
4.0ms
(* (cos x) (sin eps))
4.0ms
(- (cos eps) 1)

series221.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
43.0ms
(* (sin x) (- (cos eps) 1))
46.0ms
(* (cos x) (sin eps))
18.0ms
(- (cos eps) 1)

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0337546
11279498
25002497

prune240.0ms

Filtered
89 candidates to 56 candidates (62.9%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New781189
Fresh369
Picked101
Done000
Total821799

Merged error: 0.1b

Counts
99 → 17

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos eps) (+ (cos eps) 1))
0.3b
(pow (cos eps) 3)
0.4b
(+ (cos eps) 1)
2.2b
(- (pow (cos eps) 3) 1)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
9×add-cube-cbrt
8×add-log-exp difference-of-squares
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
4×difference-of-sqr-1 associate-*r* sqr-pow
3×pow-unpow associate-*l*
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in cube-mult pow-to-exp sub-neg flip3-- pow-pow distribute-lft-in diff-log unpow3 pow-prod-down pow-exp prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- rem-cube-cbrt unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(* (cos eps) (+ (cos eps) 1))
2.0ms
(pow (cos eps) 3)
4.0ms
(+ (cos eps) 1)
7.0ms
(- (pow (cos eps) 3) 1)

series114.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cos eps) (+ (cos eps) 1))
33.0ms
(pow (cos eps) 3)
10.0ms
(+ (cos eps) 1)
46.0ms
(- (pow (cos eps) 3) 1)

simplify63.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0307458
11609412
25001396

prune216.0ms

Filtered
95 candidates to 54 candidates (56.8%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New93295
Fresh21416
Picked101
Done000
Total9616112

Merged error: 0.1b

Counts
112 → 16

regimes144.0ms

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
02926
12926

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3345×body1280valid
545.0ms603×body2560valid
498.0ms1847×body640valid
126.0ms751×body320valid
60.0ms1126×body80valid
43.0ms328×body160valid

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