Details

sample73.0ms

Algorithm

intervals

Results

42.0ms	91×	body	5120	exit
13.0ms	273×	body	80	valid
2.0ms	4×	body	1280	valid
2.0ms	7×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	2×	body	160	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: 0.5b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.7b	(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))
6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
58.0ms	(- (log (+ 1.0 (exp x))) (* x y))
57.0ms	(log (+ 1.0 (exp x)))

simplify46.0ms

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

prune106.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Merged error: 0.2b

Counts

55 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite17.0ms

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:

3.0ms	(+ 1.0 (exp x))
3.0ms	(+ 1.0 (exp x))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ 1.0 (exp x))
7.0ms	(+ 1.0 (exp x))
103.0ms	(log (sqrt (+ 1.0 (exp x))))
98.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	155	476
1	390	434
2	1073	422
3	5002	414

prune179.0ms

Filtered

76 candidates to 54 candidates (71.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0.2b

Counts

78 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt (+ 1.0 (exp x))))
0.9b	(log (sqrt (sqrt (+ 1.0 (exp x)))))
0.9b	(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite32.0ms

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:

7.0ms	(sqrt (sqrt (+ 1.0 (exp x))))
9.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
9.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))

series602.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(sqrt (sqrt (+ 1.0 (exp x))))
188.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
195.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
99.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify113.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	263	835
1	798	780
2	3061	769
3	5001	744

prune315.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	104	2	106

Merged error: 0.2b

Counts

106 → 2

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))
6.6b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite30.0ms

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:

6.0ms	(* 1/2 (pow x 2))
9.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
7.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
6.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 1/2 (pow x 2))
75.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
16.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
53.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (38.0ms)

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

prune164.0ms

Filtered

83 candidates to 61 candidates (73.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	3	85

Merged error: 0.2b

Counts

85 → 3

regimes35.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	2452×	body	5120	exit
400.0ms	8381×	body	80	valid
83.0ms	258×	body	640	valid
81.0ms	149×	body	1280	valid
34.0ms	182×	body	320	valid
13.0ms	119×	body	160	valid