Details

sample96.0ms

Algorithm

intervals

Results

47.0ms	102×	body	1280	valid
15.0ms	17×	body	2560	valid
14.0ms	61×	body	640	valid
4.0ms	25×	body	320	valid
2.0ms	37×	body	80	valid
2.0ms	14×	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

Filtered

1 candidates to 0 candidates (100.0%)

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: 33.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (sin (+ x eps)) (sin x))
4.7b	(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))

simplify134.0ms

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

prune65.0ms

Filtered

30 candidates to 23 candidates (23.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	21	9	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	9	31

Merged error: 14.7b

Counts

31 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos x) (sin eps))
0.1b	(- (* (cos x) (sin eps)) (sin x))
0.1b	(* (sin x) (cos eps))
1.6b	(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

rewrite25.0ms

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:

5.0ms	(* (cos x) (sin eps))
4.0ms	(- (* (cos x) (sin eps)) (sin x))
6.0ms	(* (sin x) (cos eps))
8.0ms	(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (cos x) (sin eps))
13.0ms	(- (* (cos x) (sin eps)) (sin x))
9.0ms	(* (sin x) (cos eps))
22.0ms	(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	348	614
1	1352	580
2	5002	565

prune114.0ms

Filtered

78 candidates to 55 candidates (29.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	69	9	78
Fresh	8	0	8
Picked	1	0	1
Done	0	0	0
Total	78	9	87

Merged error: 0.1b

Counts

87 → 9

localize14.0ms

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))
1.0b	(- (cos eps) 1)

rewrite27.0ms

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

series41.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* (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)

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	333	546
1	1271	498
2	5001	497

prune147.0ms

Filtered

89 candidates to 56 candidates (37.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	78	11	89
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	82	16	98

Merged error: 0.0b

Counts

98 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos x) (sin eps))
0.1b	(* (sin x) (- (cos eps) 1))
1.0b	(- (cos eps) 1)
2.4b	(log (exp (* (sin x) (- (cos eps) 1))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

4.0ms	(* (cos x) (sin eps))
8.0ms	(* (sin x) (- (cos eps) 1))
4.0ms	(- (cos eps) 1)
3.0ms	(log (exp (* (sin x) (- (cos eps) 1))))

series30.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify129.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	283	480
1	1031	424
2	4524	423
3	5001	423

prune95.0ms

Filtered

92 candidates to 59 candidates (35.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	2	13	15
Picked	0	1	1
Done	0	0	0
Total	93	15	108

Merged error: 0.0b

Counts

108 → 15

regimes191.0ms

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

sample3.1s

Algorithm

intervals

Results

1.4s	3298×	body	1280	valid
593.0ms	659×	body	2560	valid
592.0ms	1841×	body	640	valid
122.0ms	720×	body	320	valid
69.0ms	1120×	body	80	valid
40.0ms	362×	body	160	valid

Details

sample96.0ms

simplify4.0ms

prune3.0ms

localize8.0ms

rewrite10.0ms

series13.0ms

simplify134.0ms

prune65.0ms

localize14.0ms

rewrite25.0ms

series52.0ms

simplify41.0ms

prune114.0ms

localize14.0ms

rewrite27.0ms

series41.0ms

simplify41.0ms

prune147.0ms

localize17.0ms

rewrite20.0ms

series30.0ms

simplify129.0ms

prune95.0ms

regimes191.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

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