Details

sample105.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

41.0ms	92×	body	1280	valid
26.0ms	22×	body	2560	valid
16.0ms	63×	body	640	valid
6.0ms	36×	body	320	valid
2.0ms	30×	body	80	valid
2.0ms	13×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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: 40.2b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

2.8b	(- (sin (+ x eps)) (sin x))
3.5b	(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))

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)

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

prune60.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

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: 15.1b

Counts

31 → 7

localize13.0ms

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))
4.1b	(- (+ (* (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))

series56.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
8.0ms	(* (sin x) (cos eps))
9.0ms	(* (cos x) (sin eps))
23.0ms	(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (33.0ms)

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

prune105.0ms

Filtered

54 candidates to 76 candidates (-40.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	68	8	76
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	75	8	83

Merged error: 0.2b

Counts

83 → 8

localize13.0ms

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))
1.2b	(- (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)))
8.0ms	(* (sin x) (- (cos eps) 1))
4.0ms	(* (cos x) (sin eps))
4.0ms	(- (cos eps) 1)

series43.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* (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)

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	337	546
1	1279	498
2	5002	497

prune125.0ms

Filtered

56 candidates to 89 candidates (-58.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))
1.2b	(- (cos eps) 1)

rewrite9.0ms

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 (sin x))
1.0ms	(cbrt (sin x))
1.0ms	(cbrt (sin x))
4.0ms	(- (cos eps) 1)

series57.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (sin x))
18.0ms	(cbrt (sin x))
19.0ms	(cbrt (sin x))
3.0ms	(- (cos eps) 1)

simplify67.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	164	307
1	504	282
2	1706	263
3	5001	263

prune61.0ms

Filtered

45 candidates to 61 candidates (-35.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	61	11	72

Merged error: 0.0b

Counts

72 → 11

regimes149.0ms

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	20	15
1	20	15

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

1.5s	3259×	body	1280	valid
658.0ms	671×	body	2560	valid
510.0ms	1828×	body	640	valid
150.0ms	833×	body	320	valid
60.0ms	1030×	body	80	valid
46.0ms	379×	body	160	valid

Details

sample105.0ms

simplify4.0ms

prune3.0ms

localize8.0ms

rewrite10.0ms

series13.0ms

simplify135.0ms

prune60.0ms

localize13.0ms

rewrite23.0ms

series56.0ms

simplify40.0ms

prune105.0ms

localize13.0ms

rewrite25.0ms

series43.0ms

simplify42.0ms

prune125.0ms

localize17.0ms

rewrite9.0ms

series57.0ms

simplify67.0ms

prune61.0ms

regimes149.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

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