Details

Time bar (total: 4.5s)

analyze1.0ms

Algorithm
search

sample102.0ms

Algorithm
intervals
Results
53.0ms110×body1280valid
16.0ms58×body640valid
16.0ms17×body2560valid
5.0ms27×body320valid
2.0ms37×body80valid
1.0ms7×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: 36.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.3b
(- (sin (+ x eps)) (sin x))
4.0b
(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))

series13.0ms

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

simplify135.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune68.0ms

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: 16.7b

Counts
31 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sin x) (cos eps))
0.1b
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
0.2b
(* (cos x) (sin eps))
2.4b
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

rewrite25.0ms

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:
4.0ms
(* (sin x) (cos eps))
6.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
4.0ms
(* (cos x) (sin eps))
8.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series56.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (sin x) (cos eps))
17.0ms
(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
9.0ms
(* (cos x) (sin eps))
21.0ms
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0308589
11168554
25001543

prune120.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New661076
Fresh617
Picked101
Done000
Total731184

Merged error: 0.3b

Counts
84 → 11

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))
0.2b
(* (cos x) (sin eps))
1.8b
(- (cos eps) 1)

rewrite26.0ms

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)))
8.0ms
(* (sin x) (- (cos eps) 1))
4.0ms
(* (cos x) (sin eps))
4.0ms
(- (cos eps) 1)

series41.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0337546
11279498
25002497

prune136.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh3710
Picked101
Done000
Total8614100

Merged error: 0.0b

Counts
100 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sin x) (log (exp (- (cos eps) 1))))
0.2b
(* (cos x) (sin eps))
1.8b
(- (cos eps) 1)
1.8b
(log (exp (- (cos eps) 1)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×*-un-lft-identity
16×log-pow
15×log-prod
14×exp-prod associate-*r*
13×add-cube-cbrt
10×pow1
8×add-exp-log add-cbrt-cube
6×associate-*l* exp-sum add-log-exp difference-of-squares
5×distribute-rgt-in distribute-lft-in
4×sub-neg
3×difference-of-sqr-1 distribute-lft-out--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
4 → 92
Calls
4 calls:
10.0ms
(* (sin x) (log (exp (- (cos eps) 1))))
4.0ms
(* (cos x) (sin eps))
4.0ms
(- (cos eps) 1)
5.0ms
(log (exp (- (cos eps) 1)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (sin x) (log (exp (- (cos eps) 1))))
9.0ms
(* (cos x) (sin eps))
3.0ms
(- (cos eps) 1)
3.0ms
(log (exp (- (cos eps) 1)))

simplify131.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0287584
11045489
24516482
35002482

prune111.0ms

Filtered
67 candidates to 104 candidates (-55.2%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh11213
Picked011
Done000
Total10414118

Merged error: 0.0b

Counts
118 → 14

regimes178.0ms

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
01810
11810

end0.0ms

analyze1.0ms

Algorithm
search

sample3.1s

Algorithm
intervals
Results
1.5s3328×body1280valid
619.0ms630×body2560valid
507.0ms1810×body640valid
158.0ms806×body320valid
69.0ms1097×body80valid
40.0ms329×body160valid

Profiling

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