Details

sample212.0ms

Algorithm

intervals

Results

110.0ms	96×	body	1280	valid
49.0ms	62×	body	640	valid
14.0ms	69×	body	80	valid
13.0ms	23×	body	320	valid
2.0ms	6×	body	160	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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 (0.0%)

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: 0.5b

Counts

2 → 1

localize35.0ms

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))
2.0b	(- (cos x) (cos y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

22.0ms	(* (* (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)))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series296.0ms

Counts

4 → 10

Calls

4 calls:

146.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
94.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
56.0ms	(- (cos x) (cos y))

simplify77.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	622	1094
1	2643	1002
2	5003	1002

prune609.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	93	11	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	11	105

Merged error: 0.3b

Counts

105 → 11

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
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)))
2.0b	(- (cos x) (cos y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`associate-l`
21×	`times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1`
11×	`difference-of-squares`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
5×	`sub-neg` `pow-prod-down`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `unswap-sqr`
3×	`associate-l/` `-commutative`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv` `diff-cos`

Counts

4 → 120

Calls

4 calls:

11.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
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))

series395.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
140.0ms	(* (* (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))

simplify92.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	751	1321
1	3282	1206
2	5001	1206

prune798.0ms

Filtered

132 candidates to 89 candidates (67.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	132	11	143

Merged error: 0.2b

Counts

143 → 11

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.1b	(cbrt (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3))
1.2b	(pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3)
2.0b	(- (cos x) (cos y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-cube-cbrt`
8×	`cbrt-prod`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`sqrt-prod`
3×	`sub-neg` `pow-unpow` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `difference-of-squares`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `unpow-prod-down` `flip3--` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `associate-r/` `pow-prod-down` `associate-l/` `flip--` `distribute-lft-out--` `unswap-sqr` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `cbrt-div` `times-frac` `pow1/3` `diff-log` `div-exp` `*-commutative` `rem-cbrt-cube` `diff-cos`

Counts

4 → 89

Calls

4 calls:

11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.0ms	(cbrt (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3))
10.0ms	(pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3)
5.0ms	(- (cos x) (cos y))

series521.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
91.0ms	(cbrt (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3))
268.0ms	(pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3)
60.0ms	(- (cos x) (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	540	799
1	2175	741
2	5003	741

prune692.0ms

Filtered

101 candidates to 69 candidates (68.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	101	11	112

Merged error: 0.2b

Counts

112 → 11

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)))
0.5b	(log (pow (exp (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)))
2.0b	(- (cos x) (cos y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

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)))
8.0ms	(log (pow (exp (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)))
5.0ms	(- (cos x) (cos y))

series872.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
100.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
551.0ms	(log (pow (exp (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)))
58.0ms	(- (cos x) (cos y))

simplify83.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	637	1215
1	2721	1095
2	5003	1093

prune687.0ms

Filtered

109 candidates to 76 candidates (69.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	109	11	120

Merged error: 0.2b

Counts

120 → 11

regimes223.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	49
1	54	49

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.1s	2694×	body	1280	valid
1.4s	1836×	body	640	valid
413.0ms	780×	body	320	valid
360.0ms	2319×	body	80	valid
137.0ms	371×	body	160	valid