Details

Time bar (total: 5.2s)

sample97.0ms

Algorithm
intervals
Results
48.0ms111×body1280valid
17.0ms19×body2560valid
14.0ms52×body640valid
4.0ms25×body320valid
3.0ms20×body160valid
2.0ms29×body80valid

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: 39.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.6b
(- (sin (+ x eps)) (sin x))
5.0b
(sin (+ x eps))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt prod-diff
4×add-log-exp
3×fma-neg
2×pow1 add-exp-log expm1-log1p-u sin-sum add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- diff-log diff-sin associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 40
Calls
2 calls:
7.0ms
(- (sin (+ x eps)) (sin x))
9.0ms
(sin (+ x eps))

series56.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (sin (+ x eps)) (sin x))
18.0ms
(sin (+ x eps))

simplify74.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0192386
1538285
22616275
35002220

prune106.0ms

Filtered
46 candidates to 31 candidates (67.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New37946
Fresh000
Picked101
Done000
Total38947

Merged error: 14.3b

Counts
47 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sin x) (cos eps))
0.1b
(- (* (cos x) (sin eps)) (sin x))
0.1b
(* (cos x) (sin eps))
3.7b
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×add-log-exp
10×add-cube-cbrt *-un-lft-identity
8×pow1 add-exp-log add-cbrt-cube
6×associate-*r* associate-*l* prod-diff
5×associate-+r+
4×expm1-log1p-u log1p-expm1-u
3×sin-cos-mult
2×sub-neg flip3-- diff-log pow-prod-down frac-add prod-exp sum-log *-commutative flip-- cbrt-unprod unswap-sqr
1×+-commutative associate-+r- fma-def flip3-+ fma-neg flip-+
Counts
4 → 82
Calls
4 calls:
4.0ms
(* (sin x) (cos eps))
5.0ms
(- (* (cos x) (sin eps)) (sin x))
5.0ms
(* (cos x) (sin eps))
9.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (sin x) (cos eps))
61.0ms
(- (* (cos x) (sin eps)) (sin x))
42.0ms
(* (cos x) (sin eps))
111.0ms
(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0414729
11617662
25002648

prune281.0ms

Filtered
94 candidates to 69 candidates (73.4%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New801494
Fresh808
Picked101
Done000
Total8914103

Merged error: 0.6b

Counts
103 → 14

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (cos x) (sin eps))
0.2b
(fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))
2.9b
(- (cos eps) 1)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
12×add-cube-cbrt
9×prod-diff
6×add-exp-log
5×pow1 add-cbrt-cube add-log-exp
3×expm1-log1p-u fma-neg associate-*r* associate-*l* log1p-expm1-u
2×difference-of-squares
1×sub-neg expm1-def flip3-- diff-log difference-of-sqr-1 pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Counts
3 → 61
Calls
3 calls:
4.0ms
(* (cos x) (sin eps))
1.0ms
(fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))
5.0ms
(- (cos eps) 1)

series169.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (cos x) (sin eps))
105.0ms
(fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))
18.0ms
(- (cos eps) 1)

simplify97.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0276442
1932347
23460325
35001303

prune195.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh8513
Picked101
Done000
Total721284

Merged error: 0.1b

Counts
84 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (- (cos eps) 1))
0.2b
(fma (sin x) (log (exp (- (cos eps) 1))) (* (cos x) (sin eps)))
2.9b
(- (cos eps) 1)
2.9b
(log (exp (- (cos eps) 1)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
35×*-un-lft-identity
27×prod-diff
26×add-cube-cbrt
22×exp-sum
14×log-prod exp-prod
9×add-log-exp
8×log-pow
6×difference-of-squares
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×sub-neg fma-neg difference-of-sqr-1 distribute-lft-out--
2×exp-diff diff-log rem-exp-log
1×log-div expm1-def flip3-- rem-log-exp flip-- fma-udef
Counts
4 → 104
Calls
4 calls:
5.0ms
(exp (- (cos eps) 1))
1.0ms
(fma (sin x) (log (exp (- (cos eps) 1))) (* (cos x) (sin eps)))
5.0ms
(- (cos eps) 1)
6.0ms
(log (exp (- (cos eps) 1)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(exp (- (cos eps) 1))
108.0ms
(fma (sin x) (log (exp (- (cos eps) 1))) (* (cos x) (sin eps)))
18.0ms
(- (cos eps) 1)
22.0ms
(log (exp (- (cos eps) 1)))

simplify92.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0289790
1850565
22761475
35002431

prune241.0ms

Filtered
116 candidates to 67 candidates (57.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1160116
Fresh01111
Picked011
Done000
Total11612128

Merged error: 0.1b

Counts
128 → 12

regimes109.0ms

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
0159
1159

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s3343×body1280valid
591.0ms613×body2560valid
513.0ms1785×body640valid
136.0ms733×body320valid
78.0ms1153×body80valid
44.0ms373×body160valid

Profiling

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