Details

Time bar (total: 4.5s)

analyze1.0ms

Algorithm
search

sample102.0ms

Algorithm
intervals
Results
42.0ms95×body1280valid
24.0ms26×body2560valid
19.0ms73×body640valid
4.0ms22×body320valid
2.0ms31×body80valid
1.0ms9×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: 40.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.5b
(- (sin (+ x eps)) (sin x))
5.6b
(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))

series18.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (sin (+ x eps)) (sin x))
10.0ms
(sin (+ x eps))

simplify136.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0133175
1301165
2937164
33445164
45001164

prune55.0ms

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: 15.4b

Counts
31 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos x) (sin eps)) (sin x))
0.1b
(* (sin x) (cos eps))
0.2b
(* (cos x) (sin eps))
2.5b
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (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*
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
(* (sin x) (cos eps))
4.0ms
(* (cos x) (sin eps))
8.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (* (cos x) (sin eps)) (sin x))
8.0ms
(* (sin x) (cos eps))
9.0ms
(* (cos x) (sin eps))
20.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0348614
11352580
25002565

prune112.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New69978
Fresh516
Picked011
Done000
Total741185

Merged error: 0.1b

Counts
85 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sin x) (- (cos eps) 1))
0.1b
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
0.2b
(* (cos x) (sin eps))
1.3b
(- (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:
7.0ms
(* (sin x) (- (cos eps) 1))
8.0ms
(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
4.0ms
(* (cos x) (sin eps))
4.0ms
(- (cos eps) 1)

series39.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0337546
11279498
25002497

prune135.0ms

Filtered
55 candidates to 89 candidates (-61.8%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New791089
Fresh459
Picked101
Done011
Total8416100

Merged error: 0.0b

Counts
100 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sin x) (log (exp (- (cos eps) 1)))) (* (cos x) (sin eps)))
0.2b
(* (cos x) (sin eps))
1.3b
(log (exp (- (cos eps) 1)))
1.3b
(- (cos eps) 1)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
15×log-prod
10×add-cube-cbrt associate-+l+
8×log-pow add-log-exp
7×pow1 exp-prod
6×add-exp-log exp-sum add-cbrt-cube
5×distribute-rgt-in distribute-lft-in
4×sub-neg difference-of-squares
3×associate-*r* associate-*l*
2×difference-of-sqr-1 distribute-lft-out--
1×+-commutative log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
4 → 77
Calls
4 calls:
9.0ms
(+ (* (sin x) (log (exp (- (cos eps) 1)))) (* (cos x) (sin eps)))
4.0ms
(* (cos x) (sin eps))
4.0ms
(log (exp (- (cos eps) 1)))
4.0ms
(- (cos eps) 1)

series36.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (* (sin x) (log (exp (- (cos eps) 1)))) (* (cos x) (sin eps)))
10.0ms
(* (cos x) (sin eps))
3.0ms
(log (exp (- (cos eps) 1)))
3.0ms
(- (cos eps) 1)

simplify158.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0336584
11108525
24855514
35001514

prune99.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New87289
Fresh11314
Picked011
Done011
Total8817105

Merged error: 0.0b

Counts
105 → 17

regimes195.0ms

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
1.5s3261×body1280valid
598.0ms635×body2560valid
534.0ms1887×body640valid
145.0ms775×body320valid
64.0ms1086×body80valid
49.0ms356×body160valid

Profiling

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