Details

sample99.0ms

Algorithm

intervals

Results

48.0ms	106×	body	1280	valid
16.0ms	19×	body	2560	valid
16.0ms	64×	body	640	valid
4.0ms	26×	body	320	valid
2.0ms	31×	body	80	valid
1.0ms	10×	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

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: 39.7b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.9b	(- (sin (+ x eps)) (sin x))
4.6b	(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))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (sin (+ x eps)) (sin x))
4.0ms	(sin (+ x eps))

simplify137.0ms

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

prune63.0ms

Filtered

30 candidates to 23 candidates (23.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	22	8	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	8	31

Merged error: 15.0b

Counts

31 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (cos x) (sin eps)) (sin x))
0.1b	(* (cos x) (sin eps))
0.2b	(* (sin x) (cos eps))
4.1b	(+ (* (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:

4.0ms	(- (* (cos x) (sin eps)) (sin x))
4.0ms	(* (cos x) (sin eps))
4.0ms	(* (sin x) (cos eps))
10.0ms	(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (* (cos x) (sin eps)) (sin x))
9.0ms	(* (cos x) (sin eps))
8.0ms	(* (sin x) (cos eps))
21.0ms	(+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (36.0ms)

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

prune140.0ms

Filtered

78 candidates to 55 candidates (29.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	61	17	78
Fresh	7	0	7
Picked	1	0	1
Done	0	0	0
Total	69	17	86

Merged error: 0.3b

Counts

86 → 17

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos x) (sin eps))
0.2b	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
0.2b	(* (sin x) (- (cos eps) 1))
2.4b	(- (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:

4.0ms	(* (cos x) (sin eps))
8.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
7.0ms	(* (sin x) (- (cos eps) 1))
4.0ms	(- (cos eps) 1)

series43.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (cos x) (sin eps))
21.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
8.0ms	(* (sin x) (- (cos eps) 1))
3.0ms	(- (cos eps) 1)

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

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

prune153.0ms

Filtered

89 candidates to 56 candidates (37.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	8	8	16
Picked	1	0	1
Done	0	0	0
Total	88	18	106

Merged error: 0.1b

Counts

106 → 18

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos x) (sin eps))
0.2b	(+ (+ (* (sin x) (cos eps)) (* -1 (sin x))) (* (cos x) (sin eps)))
0.2b	(* (sin x) (cos eps))
2.4b	(+ (* (sin x) (cos eps)) (* -1 (sin x)))

rewrite22.0ms

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`
4×	`mul-1-neg` `sum-log`
2×	`+-commutative` `associate-+l-` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+l+` `sin-cos-mult`

Counts

4 → 65

Calls

4 calls:

4.0ms	(* (cos x) (sin eps))
7.0ms	(+ (+ (* (sin x) (cos eps)) (* -1 (sin x))) (* (cos x) (sin eps)))
4.0ms	(* (sin x) (cos eps))
5.0ms	(+ (* (sin x) (cos eps)) (* -1 (sin x)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	336	562
1	1358	507
2	5002	494

prune73.0ms

Filtered

77 candidates to 56 candidates (27.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	4	13	17
Picked	0	1	1
Done	0	0	0
Total	77	18	95

Merged error: 0.1b

Counts

95 → 18

regimes204.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	3229×	body	1280	valid
581.0ms	649×	body	2560	valid
475.0ms	1856×	body	640	valid
147.0ms	796×	body	320	valid
63.0ms	1114×	body	80	valid
39.0ms	356×	body	160	valid

Details

sample99.0ms

simplify5.0ms

prune3.0ms

localize8.0ms

rewrite10.0ms

series12.0ms

simplify137.0ms

prune63.0ms

localize14.0ms

rewrite25.0ms

series49.0ms

simplify43.0ms

prune140.0ms

localize14.0ms

rewrite25.0ms

series43.0ms

simplify44.0ms

prune153.0ms

localize17.0ms

rewrite22.0ms

series49.0ms

simplify45.0ms

prune73.0ms

regimes204.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.9s

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