Details

sample70.0ms

Algorithm

intervals

Results

40.0ms	101×	body	10240	exit
10.0ms	257×	body	80	valid
4.0ms	14×	body	640	valid
4.0ms	7×	body	1280	valid
1.0ms	9×	body	160	valid
0.0ms	3×	body	320	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune2.0ms

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: 1.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
1.0b	(log (+ 1.0 (exp x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

3.0ms	(+ 1.0 (exp x))
5.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
59.0ms	(- (log (+ 1.0 (exp x))) (* x y))
63.0ms	(log (+ 1.0 (exp x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297

prune122.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Merged error: 0.7b

Counts

55 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
1.6b	(log (sqrt (+ 1.0 (exp x))))
1.6b	(log (sqrt (+ 1.0 (exp x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod` `*-un-lft-identity`
9×	`add-log-exp`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-div` `sqrt-div` `sqrt-prod`
6×	`add-exp-log` `log-pow`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `add-cbrt-cube`
3×	`distribute-lft-out`
2×	`associate-+l-` `associate-+r-` `sqrt-pow1` `pow1/2` `diff-log` `rem-log-exp` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 70

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
12.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series364.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
152.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
102.0ms	(log (sqrt (+ 1.0 (exp x))))
102.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify93.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	272	721
1	917	619
2	3302	584
3	5002	576

prune238.0ms

Filtered

82 candidates to 61 candidates (74.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	81	5	86

Merged error: 0.7b

Counts

86 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
8.3b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`log-prod` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `log-div` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate--l+` `sum-log` `flip-+`
2×	`associate--l-` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

5.0ms	(* 1/2 (pow x 2))
7.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
8.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
6.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 1/2 (pow x 2))
22.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
71.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
55.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	371	575
1	1439	529
2	5001	520

prune201.0ms

Filtered

83 candidates to 61 candidates (73.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	84	4	88

Merged error: 0.7b

Counts

88 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y))
0.7b	(log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))
1.6b	(log (sqrt (+ 1.0 (exp x))))
8.0b	(sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`log-prod`
11×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `sqrt-div` `sqrt-prod`
9×	`pow1` `add-cube-cbrt`
8×	`log-div`
7×	`add-log-exp`
6×	`add-exp-log` `log-pow`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `add-cbrt-cube`
3×	`sqrt-pow1` `pow1/2`
2×	`associate-+l-` `associate-+r-` `diff-log` `rem-log-exp`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `associate--l+` `sum-log` `flip--` `distribute-lft-out`

Counts

4 → 72

Calls

4 calls:

11.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y))
7.0ms	(log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
6.0ms	(sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series681.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y))
168.0ms	(log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))
105.0ms	(log (sqrt (+ 1.0 (exp x))))
70.0ms	(sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	508	1007
1	1920	908
2	5002	901

prune347.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	84	4	88

Merged error: 0.7b

Counts

88 → 4

regimes48.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

992.0ms	2410×	body	10240	exit
322.0ms	8289×	body	80	valid
78.0ms	290×	body	640	valid
67.0ms	128×	body	1280	valid
29.0ms	182×	body	320	valid
8.0ms	87×	body	160	valid