Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	265×	body	80	valid
0.0hr	6×	body	1280	valid
0.0hr	10×	body	640	valid
0.0hr	68×	body	80	overflowed
0.0hr	6×	body	320	valid
0.0hr	6×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

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

prune0.0hr

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.8b

Counts

2 → 1

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.8b	(log (+ 1.0 (exp x)))

rewrite0.0hr

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:

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

series0.0hr

Counts

3 → 9

Calls

3 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (0.0hr)

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

prune0.0hr

Filtered

54 candidates to 40 candidates (25.9%)

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: 0.4b

Counts

55 → 3

localize0.0hr

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.5b	(log (sqrt (+ 1.0 (exp x))))
1.5b	(log (sqrt (+ 1.0 (exp x))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`+-commutative` `sqrt-pow1` `pow1/2` `rem-log-exp` `sum-log`

Counts

4 → 64

Calls

4 calls:

0.0hr	(+ 1.0 (exp x))
0.0hr	(+ 1.0 (exp x))
0.0hr	(log (sqrt (+ 1.0 (exp x))))
0.0hr	(log (sqrt (+ 1.0 (exp x))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(+ 1.0 (exp x))
0.0hr	(+ 1.0 (exp x))
0.0hr	(log (sqrt (+ 1.0 (exp x))))
0.0hr	(log (sqrt (+ 1.0 (exp x))))

simplify0.0hr

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	155	476
1	390	432
2	1073	422
3	5002	414

prune0.0hr

Filtered

76 candidates to 54 candidates (28.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	76	3	79

Merged error: 0.4b

Counts

79 → 3

localize0.0hr

Local error

Found 4 expressions with local error:

0.5b	(sqrt (sqrt (+ 1.0 (exp x))))
1.0b	(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.0b	(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.5b	(log (sqrt (+ 1.0 (exp x))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-prod`
27×	`log-prod`
22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`pow1` `add-cube-cbrt` `sqrt-div`
13×	`sqrt-pow1` `log-pow`
7×	`add-exp-log` `pow1/2`
6×	`log-div`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp`
2×	`rem-sqrt-square`

Counts

4 → 92

Calls

4 calls:

0.0hr	(sqrt (sqrt (+ 1.0 (exp x))))
0.0hr	(log (sqrt (sqrt (+ 1.0 (exp x)))))
0.0hr	(log (sqrt (sqrt (+ 1.0 (exp x)))))
0.0hr	(log (sqrt (+ 1.0 (exp x))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(sqrt (sqrt (+ 1.0 (exp x))))
0.0hr	(log (sqrt (sqrt (+ 1.0 (exp x)))))
0.0hr	(log (sqrt (sqrt (+ 1.0 (exp x)))))
0.0hr	(log (sqrt (+ 1.0 (exp x))))

simplify0.0hr

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	263	835
1	798	779
2	3061	769
3	5001	744

prune0.0hr

Filtered

104 candidates to 70 candidates (32.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0.4b

Counts

107 → 3

localize0.0hr

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))
6.1b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite0.0hr

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:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

Filtered

83 candidates to 61 candidates (26.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	83	3	86

Merged error: 0.4b

Counts

86 → 3

regimes0.0hr

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	8412×	body	80	valid
0.0hr	2422×	body	80	overflowed
0.0hr	262×	body	640	valid
0.0hr	138×	body	1280	valid
0.0hr	208×	body	320	valid
0.0hr	115×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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