Details

sample98.0ms

Algorithm

intervals

Results

47.0ms	111×	body	1280	valid
20.0ms	22×	body	2560	valid
15.0ms	61×	body	640	valid
4.0ms	25×	body	320	valid
2.0ms	31×	body	80	valid
1.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 37.8b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (sin (+ x eps)) (sin x))
3.0b	(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))

series58.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (sin (+ x eps)) (sin x))
19.0ms	(sin (+ x eps))

simplify144.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	133	175
1	301	165
2	937	164
3	3445	164
4	5001	164

prune81.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	7	31

Merged error: 14.7b

Counts

31 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
0.1b	(* (cos x) (sin eps))
0.2b	(* (sin x) (cos eps))
1.9b	(- (+ (* (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×	`*-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:

6.0ms	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
4.0ms	(* (cos x) (sin eps))
5.0ms	(* (sin x) (cos eps))
9.0ms	(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series295.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
43.0ms	(* (cos x) (sin eps))
48.0ms	(* (sin x) (cos eps))
114.0ms	(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	308	589
1	1168	554
2	5001	543

prune213.0ms

Filtered

76 candidates to 54 candidates (71.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	66	10	76
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	73	10	83

Merged error: 0.3b

Counts

83 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin x) (- (cos eps) 1))
0.1b	(* (cos x) (sin eps))
0.1b	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
1.9b	(- (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:

7.0ms	(* (sin x) (- (cos eps) 1))
4.0ms	(* (cos x) (sin eps))
9.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
4.0ms	(- (cos eps) 1)

series226.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (sin x) (- (cos eps) 1))
49.0ms	(* (cos x) (sin eps))
111.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
20.0ms	(- (cos eps) 1)

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	337	546
1	1279	498
2	5001	497

prune238.0ms

Filtered

89 candidates to 56 candidates (62.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	83	16	99

Merged error: 0.0b

Counts

99 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos x) (sin eps))
0.1b	(+ (log (exp (* (sin x) (- (cos eps) 1)))) (* (cos x) (sin eps)))
1.9b	(- (cos eps) 1)
3.2b	(log (exp (* (sin x) (- (cos eps) 1))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `log-prod`
11×	`*-un-lft-identity`
8×	`add-cube-cbrt` `exp-sum` `add-log-exp`
7×	`pow1` `associate-+l+`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in`
3×	`associate-r` `associate-l` `log-pow`
2×	`difference-of-squares`
1×	`+-commutative` `exp-prod` `flip3--` `exp-to-pow` `flip3-+` `diff-log` `difference-of-sqr-1` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

4.0ms	(* (cos x) (sin eps))
6.0ms	(+ (log (exp (* (sin x) (- (cos eps) 1)))) (* (cos x) (sin eps)))
4.0ms	(- (cos eps) 1)
3.0ms	(log (exp (* (sin x) (- (cos eps) 1))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cos x) (sin eps))
113.0ms	(+ (log (exp (* (sin x) (- (cos eps) 1)))) (* (cos x) (sin eps)))
19.0ms	(- (cos eps) 1)
50.0ms	(log (exp (* (sin x) (- (cos eps) 1))))

simplify160.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	314	573
1	1061	516
2	4774	511
3	5001	511

prune200.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	3	12	15
Picked	0	1	1
Done	0	0	0
Total	84	14	98

Merged error: 0.0b

Counts

98 → 14

regimes123.0ms

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)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	3277×	body	1280	valid
572.0ms	622×	body	2560	valid
488.0ms	1857×	body	640	valid
155.0ms	831×	body	320	valid
58.0ms	1064×	body	80	valid
42.0ms	349×	body	160	valid

Details

sample98.0ms

simplify5.0ms

prune2.0ms

localize14.0ms

rewrite11.0ms

series58.0ms

simplify144.0ms

prune81.0ms

localize14.0ms

rewrite26.0ms

series295.0ms

simplify42.0ms

prune213.0ms

localize18.0ms

rewrite26.0ms

series226.0ms

simplify46.0ms

prune238.0ms

localize18.0ms

rewrite19.0ms

series230.0ms

simplify160.0ms

prune200.0ms

regimes123.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

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