Details

Time bar (total: 4.4s)

sample101.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
43.0ms98×body1280valid
21.0ms22×body2560valid
19.0ms71×body640valid
3.0ms15×body320valid
2.0ms38×body80valid
1.0ms12×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: 37.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (sin (+ x eps)) (sin x))
2.7b
(sin (+ x eps))

rewrite17.0ms

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:
12.0ms
(- (sin (+ x eps)) (sin x))
4.0ms
(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

prune64.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New22830
Fresh000
Picked101
Done000
Total23831

Merged error: 16.0b

Counts
31 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
0.1b
(* (sin x) (cos eps))
0.1b
(* (cos x) (sin eps))
3.6b
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

rewrite23.0ms

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:
5.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
4.0ms
(* (sin x) (cos eps))
4.0ms
(* (cos x) (sin eps))
8.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series57.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
8.0ms
(* (sin x) (cos eps))
9.0ms
(* (cos x) (sin eps))
21.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0308589
11168554
25001543

prune116.0ms

Filtered
54 candidates to 76 candidates (-40.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New67976
Fresh707
Picked101
Done000
Total75984

Merged error: 0.2b

Counts
84 → 9

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))
1.8b
(- (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)

series41.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
8.0ms
(* (sin x) (- (cos eps) 1))
9.0ms
(* (cos x) (sin eps))
3.0ms
(- (cos eps) 1)

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0337546
11279498
25002497

prune134.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh358
Picked101
Done000
Total861298

Merged error: 0.0b

Counts
98 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos x))
0.3b
(cbrt (cos x))
0.3b
(cbrt (cos x))
1.8b
(- (cos eps) 1)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×*-un-lft-identity
9×cbrt-prod
7×add-cube-cbrt
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×difference-of-squares
1×sub-neg flip3-- diff-log difference-of-sqr-1 flip-- distribute-lft-out--
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))
4.0ms
(- (cos eps) 1)

series54.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (cos x))
18.0ms
(cbrt (cos x))
17.0ms
(cbrt (cos x))
3.0ms
(- (cos eps) 1)

simplify62.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0144253
1495231
21605224
35001224

prune60.0ms

Filtered
45 candidates to 61 candidates (-35.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh01111
Picked011
Done000
Total601373

Merged error: 0.0b

Counts
73 → 13

regimes176.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02015
12015

end0.0ms

sample3.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
1.5s3221×body1280valid
654.0ms663×body2560valid
533.0ms1931×body640valid
151.0ms774×body320valid
65.0ms1088×body80valid
41.0ms323×body160valid

Profiling

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