Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample113.0ms

Algorithm

intervals

Results

48.0ms	97×	body	1280	valid
28.0ms	27×	body	2560	valid
18.0ms	59×	body	640	valid
6.0ms	30×	body	320	valid
2.0ms	36×	body	80	valid
1.0ms	7×	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

prune10.0ms

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: 37.5b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

1.3b	(- (sin (+ x eps)) (sin x))
2.2b	(sin (+ x eps))

rewrite12.0ms

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:

7.0ms	(- (sin (+ x eps)) (sin x))
5.0ms	(sin (+ x eps))

series15.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(- (sin (+ x eps)) (sin x))
5.0ms	(sin (+ x eps))

simplify148.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

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

prune67.0ms

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: 18.1b

Counts

31 → 7

localize15.0ms

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))
3.6b	(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

rewrite27.0ms

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

series63.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
12.0ms	(* (sin x) (cos eps))
10.0ms	(* (cos x) (sin eps))
24.0ms	(- (+ (* (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

prune111.0ms

Filtered

54 candidates to 76 candidates (-40.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	67	9	76
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	74	9	83

Merged error: 0.4b

Counts

83 → 9

localize14.0ms

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)))
0.1b	(* (cos x) (sin eps))
2.3b	(- (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))
8.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
4.0ms	(* (cos x) (sin eps))
4.0ms	(- (cos eps) 1)

series55.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (sin x) (- (cos eps) 1))
27.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
9.0ms	(* (cos x) (sin eps))
3.0ms	(- (cos eps) 1)

simplify59.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (46.0ms)

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

prune156.0ms

Filtered

56 candidates to 89 candidates (-58.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	85	13	98

Merged error: 0.1b

Counts

98 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (log (exp (* (sin x) (- (cos eps) 1)))) (* (cos x) (sin eps)))
0.1b	(* (cos x) (sin eps))
2.3b	(- (cos eps) 1)
3.4b	(log (exp (* (sin x) (- (cos eps) 1))))

rewrite18.0ms

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:

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

series43.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (log (exp (* (sin x) (- (cos eps) 1)))) (* (cos x) (sin eps)))
11.0ms	(* (cos x) (sin eps))
3.0ms	(- (cos eps) 1)
9.0ms	(log (exp (* (sin x) (- (cos eps) 1))))

simplify163.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

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

prune112.0ms

Filtered

56 candidates to 82 candidates (-46.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	81	14	95

Merged error: 0.0b

Counts

95 → 14

regimes196.0ms

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)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample3.2s

Algorithm

intervals

Results

1.6s	3292×	body	1280	valid
666.0ms	662×	body	2560	valid
507.0ms	1815×	body	640	valid
155.0ms	766×	body	320	valid
78.0ms	1134×	body	80	valid
43.0ms	331×	body	160	valid

Details

analyze2.0ms

sample113.0ms

simplify5.0ms

prune10.0ms

localize10.0ms

rewrite12.0ms

series15.0ms

simplify148.0ms

prune67.0ms

localize15.0ms

rewrite27.0ms

series63.0ms

simplify40.0ms

prune111.0ms

localize14.0ms

rewrite26.0ms

series55.0ms

simplify59.0ms

prune156.0ms

localize17.0ms

rewrite18.0ms

series43.0ms

simplify163.0ms

prune112.0ms

regimes196.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.0ms

sample3.2s

Profiling