Details

sample146.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 30.273438%

Guaranteed chance to sample good point: 98.573179%

Results

11.0ms	234×	body	80	valid
3.0ms	10×	body	640	valid
2.0ms	4×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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

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))
0.5b	(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)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ 1.0 (exp x))
9.0ms	(- (log (+ 1.0 (exp x))) (* x y))
13.0ms	(log (+ 1.0 (exp x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (43.0ms)

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

prune77.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Merged error: 0.2b

Counts

55 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
7.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
20.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
13.0ms	(log (sqrt (+ 1.0 (exp x))))
15.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	227	617
1	620	580
2	1867	562
3	5002	554

prune153.0ms

Filtered

62 candidates to 85 candidates (-37.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	85	3	88

Merged error: 0.2b

Counts

88 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
5.1b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite27.0ms

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

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 1/2 (pow x 2))
9.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
2.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
4.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

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

prune137.0ms

Filtered

61 candidates to 83 candidates (-36.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	83	3	86

Merged error: 0.2b

Counts

86 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.7b	(log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))
1.2b	(log (sqrt (+ 1.0 (exp x))))
5.0b	(sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

7.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
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)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
7.0ms	(log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))
15.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	399	731
1	1543	657
2	5001	642

prune178.0ms

Filtered

60 candidates to 79 candidates (-31.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	78	4	82

Merged error: 0.2b

Counts

82 → 4

regimes152.0ms

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	10	5
1	10	5

end0.0ms

sample929.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 30.273438%

Guaranteed chance to sample good point: 98.573179%

Results

371.0ms	7341×	body	80	valid
79.0ms	247×	body	640	valid
73.0ms	125×	body	1280	valid
36.0ms	183×	body	320	valid
12.0ms	104×	body	160	valid
2.0ms	27×	body	80	invalid
0.0ms	9×	body	80	overflowed

Details

sample146.0ms

simplify4.0ms

prune3.0ms

localize7.0ms

rewrite13.0ms

series24.0ms

simplify47.0ms

prune77.0ms

localize10.0ms

rewrite20.0ms

series51.0ms

simplify54.0ms

prune153.0ms

localize11.0ms

rewrite27.0ms

series19.0ms

simplify46.0ms

prune137.0ms

localize18.0ms

rewrite25.0ms

series29.0ms

simplify49.0ms

prune178.0ms

regimes152.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample929.0ms

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