Details

sample40.0ms

Algorithm

intervals

Results

15.0ms	254×	body	80	valid
3.0ms	78×	body	80	overflowed
2.0ms	8×	body	640	valid
2.0ms	4×	body	1280	valid
1.0ms	7×	body	160	valid
0.0ms	2×	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

prune4.0ms

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: 0.0b

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

rewrite12.0ms

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)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
73.0ms	(- (log (+ 1.0 (exp x))) (* x y))
78.0ms	(log (+ 1.0 (exp x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (42.0ms)

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

prune147.0ms

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: 0b

Counts

55 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
0.7b	(log (sqrt (+ 1.0 (exp x))))
0.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`log-prod`
12×	`sqrt-prod`
10×	`add-sqr-sqrt` `sqrt-div`
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` `distribute-lft-out`
2×	`associate-+l-` `associate-+r-` `diff-log` `rem-log-exp`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 74

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 (exp x)))
12.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
6.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (+ 1.0 (exp x)))
181.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
129.0ms	(log (sqrt (+ 1.0 (exp x))))
125.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify108.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	279	765
1	942	663
2	3612	627
3	5001	617

prune337.0ms

Filtered

86 candidates to 64 candidates (25.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ (exp x) 1.0)) (* x y))
0.0b	(log (+ (exp x) 1.0))
0.6b	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
16.6b	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`log-prod`
6×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod`
5×	`add-cbrt-cube` `add-log-exp`
4×	`cube-div` `log-div` `associate--l+`
3×	`pow-unpow` `flip3--` `flip--`
2×	`associate--l-` `cube-mult` `cbrt-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 81

Calls

4 calls:

6.0ms	(- (log (+ (exp x) 1.0)) (* x y))
4.0ms	(log (+ (exp x) 1.0))
4.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
4.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

series402.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (log (+ (exp x) 1.0)) (* x y))
81.0ms	(log (+ (exp x) 1.0))
169.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
74.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	362	798
1	1354	753
2	5001	741

prune315.0ms

Filtered

93 candidates to 58 candidates (37.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample947.0ms

Algorithm

intervals

Results

358.0ms	8361×	body	80	valid
91.0ms	2421×	body	80	overflowed
80.0ms	273×	body	640	valid
73.0ms	132×	body	1280	valid
32.0ms	181×	body	320	valid
12.0ms	113×	body	160	valid

Details

sample40.0ms

simplify5.0ms

prune4.0ms

localize7.0ms

rewrite12.0ms

series160.0ms

simplify47.0ms

prune147.0ms

localize10.0ms

rewrite28.0ms

series478.0ms

simplify108.0ms

prune337.0ms

localize11.0ms

rewrite20.0ms

series402.0ms

simplify46.0ms

prune315.0ms

regimes129.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample947.0ms

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