Details

sample251.0ms

Algorithm

intervals

Results

142.0ms	97×	body	1280	valid
56.0ms	64×	body	640	valid
15.0ms	23×	body	320	valid
11.0ms	56×	body	80	valid
6.0ms	16×	body	160	valid

simplify50.0ms

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

prune5.0ms

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

localize37.0ms

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))
1.4b	(- (cos x) (cos y))

rewrite41.0ms

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:

18.0ms	(* (* (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)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series274.0ms

Counts

4 → 10

Calls

4 calls:

131.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
86.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
57.0ms	(- (cos x) (cos y))

simplify66.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (14.0ms)

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

prune516.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	12	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	12	105

Merged error: 0.3b

Counts

105 → 12

localize37.0ms

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)))
1.4b	(- (cos x) (cos y))

rewrite53.0ms

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:

10.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
18.0ms	(* (* (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)))
4.0ms	(- (cos x) (cos y))

series350.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
130.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
85.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
50.0ms	(- (cos x) (cos y))

simplify78.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (17.0ms)

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

prune713.0ms

Filtered

132 candidates to 89 candidates (67.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	125	7	132
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	130	14	144

Merged error: 0.2b

Counts

144 → 14

localize38.0ms

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)
1.4b	(- (cos x) (cos y))

rewrite29.0ms

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))
9.0ms	(pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3)
4.0ms	(- (cos x) (cos y))

series450.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
75.0ms	(cbrt (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3))
235.0ms	(pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3)
53.0ms	(- (cos x) (cos y))

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

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

prune603.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	100	15	115

Merged error: 0.2b

Counts

115 → 15

localize40.0ms

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)))
0.4b	(log (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))
1.4b	(- (cos x) (cos y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`pow1` `associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt`
8×	`flip3--` `flip--`
7×	`associate-l` `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×	`log-prod` `log-pow` `distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `diff-log` `rem-log-exp` `diff-cos`

Counts

4 → 93

Calls

4 calls:

18.0ms	(* (* (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)))
3.0ms	(log (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))
4.0ms	(- (cos x) (cos y))

series365.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
89.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
88.0ms	(log (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))
51.0ms	(- (cos x) (cos y))

simplify67.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	606	1157
1	2642	1046
2	5001	1046

prune573.0ms

Filtered

105 candidates to 71 candidates (67.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	4	8	12
Picked	0	1	1
Done	1	1	2
Total	107	13	120

Merged error: 0.2b

Counts

120 → 13

regimes224.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	34
1	47	34

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.5s	2812×	body	1280	valid
1.4s	1826×	body	640	valid
379.0ms	728×	body	320	valid
375.0ms	2278×	body	80	valid
129.0ms	356×	body	160	valid