Details

sample199.0ms

Algorithm

intervals

Results

111.0ms	99×	body	1280	valid
37.0ms	51×	body	640	valid
15.0ms	70×	body	80	valid
9.0ms	19×	body	320	valid
6.0ms	17×	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

prune9.0ms

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

localize33.0ms

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))
1.9b	(- (cos x) (cos y))

rewrite42.0ms

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)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series285.0ms

Counts

4 → 10

Calls

4 calls:

137.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
90.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
57.0ms	(- (cos x) (cos y))

simplify68.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

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

prune516.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Merged error: 0.3b

Counts

105 → 8

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))
2.9b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))
4.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series279.0ms

Counts

4 → 10

Calls

4 calls:

89.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
57.0ms	(- (cos x) (cos y))
133.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	422	818
1	1443	744
2	5001	743

prune502.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	87	10	97

Merged error: 0.3b

Counts

97 → 10

localize40.0ms

Local error

Found 4 expressions with local error:

1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))
3.4b	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
3.4b	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod`
15×	`sqrt-prod`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`log-pow` `add-log-exp`
8×	`pow1` `add-cube-cbrt` `exp-sum`
6×	`add-exp-log` `sub-neg` `sqrt-pow1`
4×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`exp-prod` `flip3--` `exp-to-pow` `pow1/2` `diff-log` `rem-log-exp` `flip--` `distribute-lft-out--`
1×	`diff-cos`

Counts

4 → 76

Calls

4 calls:

4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))
5.0ms	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
5.0ms	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

series726.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(- 3.0 (sqrt 5.0))
49.0ms	(- (cos x) (cos y))
275.0ms	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
401.0ms	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

simplify69.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	301	1231
1	752	1131
2	2250	1127
3	5001	1123

prune507.0ms

Filtered

86 candidates to 56 candidates (65.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Merged error: 0.3b

Counts

96 → 10

localize40.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))
2.9b	(log (exp (* (* (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (cbrt (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-log-exp`
7×	`log-prod`
6×	`cbrt-prod` `add-cube-cbrt`
5×	`pow1` `difference-of-squares`
4×	`add-exp-log` `sub-neg` `exp-sum` `add-cbrt-cube`
3×	`flip3--` `log-pow` `flip--` `distribute-lft-out--`
2×	`distribute-rgt-in` `cbrt-div` `distribute-lft-in` `diff-log`
1×	`exp-prod` `exp-to-pow` `times-frac` `pow1/3` `rem-log-exp` `sqrt-prod` `diff-cos`

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))
4.0ms	(log (exp (* (* (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (cbrt (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))))

series330.0ms

Counts

4 → 10

Calls

4 calls:

144.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
50.0ms	(- (cos x) (cos y))
136.0ms	(log (exp (* (* (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (cbrt (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))))

simplify114.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	414	1092
1	1101	856
2	3904	795
3	5001	793

prune458.0ms

Filtered

74 candidates to 56 candidates (75.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	72	12	84

Merged error: 0.2b

Counts

84 → 12

regimes228.0ms

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	55	56
1	55	56

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.3s	2771×	body	1280	valid
1.4s	1817×	body	640	valid
427.0ms	786×	body	320	valid
374.0ms	2272×	body	80	valid
130.0ms	354×	body	160	valid