Details

sample172.0ms

Algorithm

intervals

Results

85.0ms	83×	body	1280	valid
47.0ms	67×	body	640	valid
11.0ms	81×	body	80	valid
7.0ms	17×	body	320	valid
2.0ms	8×	body	160	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	30
1	182	30
2	657	30
3	2727	30
4	5001	30

prune6.0ms

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: 0.4b

Counts

2 → 1

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.8b	(- (cos x) (cos y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
31×	`associate-l`
22×	`*-un-lft-identity`
18×	`associate-r`
12×	`add-cube-cbrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/` `sqrt-prod`
9×	`flip3--` `flip--` `difference-of-squares` `unswap-sqr`
8×	`add-log-exp`
6×	`sub-neg`
5×	`distribute-lft-out--`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`times-frac` `*-commutative`
2×	`diff-log` `associate-*l/`
1×	`diff-cos`

Counts

4 → 115

Calls

4 calls:

23.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series301.0ms

Counts

4 → 10

Calls

4 calls:

146.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
95.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
60.0ms	(- (cos x) (cos y))

simplify72.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	648	1374
1	2741	1282
2	5003	1282

prune606.0ms

Filtered

125 candidates to 85 candidates (32.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	117	8	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	8	126

Merged error: 0.3b

Counts

126 → 8

localize231.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.8b	(- (cos x) (cos y))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt` `associate-l`
36×	`associate-r/` `associate-r*`
35×	`flip3--` `flip--`
33×	`*-un-lft-identity`
32×	`frac-times`
25×	`unswap-sqr`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`add-cube-cbrt`
16×	`associate-*l/`
15×	`sqrt-prod`
12×	`difference-of-squares`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`sub-neg` `distribute-lft-out--`
6×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `add-log-exp`
5×	`times-frac`
2×	`diff-cos`
1×	`diff-log`

Counts

4 → 190

Calls

4 calls:

37.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
24.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- (cos x) (cos y))

series543.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
147.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
96.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
59.0ms	(- (cos x) (cos y))

simplify53.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	949	3355
1	5001	3182

prune1.2s

Filtered

202 candidates to 149 candidates (26.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	198	4	202
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	204	6	210

Merged error: 0.2b

Counts

210 → 6

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.8b	(- (cos x) (cos y))
3.1b	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
89×	`associate-l`
50×	`log-pow`
48×	`exp-prod`
36×	`associate-r`
35×	`*-un-lft-identity`
25×	`unswap-sqr`
21×	`add-cube-cbrt`
15×	`sqrt-prod`
12×	`pow1` `add-exp-log` `difference-of-squares`
11×	`add-cbrt-cube`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`sub-neg` `log-prod` `distribute-lft-out--` `add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
5×	`times-frac`
4×	`frac-times` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-log-exp` `associate-*l/` `diff-cos`
1×	`exp-to-pow` `diff-log`

Counts

4 → 166

Calls

4 calls:

32.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- (cos x) (cos y))
36.0ms	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series544.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
102.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
56.0ms	(- (cos x) (cos y))
245.0ms	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify98.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	768	2186
1	3574	2045
2	5001	2044

prune1.0s

Filtered

178 candidates to 119 candidates (33.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	177	7	184

Merged error: 0.2b

Counts

184 → 7

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.8b	(- (cos x) (cos y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `diff-cos` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
5.0ms	(- (cos x) (cos y))

series57.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
57.0ms	(- (cos x) (cos y))

simplify135.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (131.0ms)

Iter	Nodes	Cost
0	125	223
1	281	207
2	768	200
3	3477	200
4	5001	197

prune357.0ms

Filtered

54 candidates to 40 candidates (25.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	54	7	61

Merged error: 0.2b

Counts

61 → 7

regimes141.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	36
1	49	36

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.9s	2717×	body	1280	valid
1.2s	1849×	body	640	valid
356.0ms	755×	body	320	valid
330.0ms	2329×	body	80	valid
106.0ms	350×	body	160	valid