Details

analyze814.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample29.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	93×	body	80	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5189	11

prune14.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.5b	(* (* z 3.0) y)
7.2b	(/ t (* (* z 3.0) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 75

Calls

4 calls:

5.0ms	(- x (/ y (* z 3.0)))
4.0ms	(/ y (* z 3.0))
4.0ms	(* (* z 3.0) y)
5.0ms	(/ t (* (* z 3.0) y))

series19.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
3.0ms	(* (* z 3.0) y)
6.0ms	(/ t (* (* z 3.0) y))

simplify38.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5096	669

prune135.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	78	9	87
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	79	10	89

Merged error: 0.0b

Counts

89 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ t (* z 3.0))
0.2b	(/ y (* z 3.0))
5.3b	(/ (/ t (* z 3.0)) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp`
7×	`div-inv`
6×	`add-log-exp`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

5.0ms	(- x (/ y (* z 3.0)))
4.0ms	(/ t (* z 3.0))
4.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series21.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ t (* z 3.0))
3.0ms	(/ y (* z 3.0))
8.0ms	(/ (/ t (* z 3.0)) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4970	1033
1	4970	1033

prune152.0ms

Filtered

84 candidates to 115 candidates (-36.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	115	10	125

Merged error: 0b

Counts

125 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(* (/ 1 z) (/ t 3.0))
5.3b	(/ (* (/ 1 z) (/ t 3.0)) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-exp-log`
41×	`add-sqr-sqrt`
39×	`add-cbrt-cube`
31×	`times-frac`
27×	`div-exp`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
17×	`prod-exp`
15×	`cbrt-undiv`
13×	`associate-r` `associate-l`
9×	`cbrt-unprod`
6×	`pow1` `add-log-exp` `unswap-sqr`
4×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l`
3×	`associate-/l/`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 124

Calls

4 calls:

5.0ms	(- x (/ y (* z 3.0)))
4.0ms	(/ y (* z 3.0))
9.0ms	(* (/ 1 z) (/ t 3.0))
8.0ms	(/ (* (/ 1 z) (/ t 3.0)) y)

series19.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
3.0ms	(* (/ 1 z) (/ t 3.0))
6.0ms	(/ (* (/ 1 z) (/ t 3.0)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4969	1057
1	4969	1057

prune156.0ms

Filtered

86 candidates to 136 candidates (-58.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	136	10	146

Merged error: 0b

Counts

146 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (* (/ t z) (/ 0.3333333333333333 y)))
0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
5.4b	(* (/ t z) (/ 0.3333333333333333 y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-exp-log` `add-cbrt-cube`
20×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`add-log-exp`
6×	`pow1` `cbrt-undiv` `div-exp` `frac-add`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `flip--` `unswap-sqr`
3×	`frac-times` `associate-r/` `associate-l/` `div-inv` `associate-/l*`
2×	`sub-neg` `diff-log` `sum-log`
1×	`+-commutative` `associate-+l-` `associate-+l+` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

8.0ms	(+ (- x (/ y (* z 3.0))) (* (/ t z) (/ 0.3333333333333333 y)))
5.0ms	(- x (/ y (* z 3.0)))
4.0ms	(/ y (* z 3.0))
9.0ms	(* (/ t z) (/ 0.3333333333333333 y))

series33.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (* (/ t z) (/ 0.3333333333333333 y)))
7.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
6.0ms	(* (/ t z) (/ 0.3333333333333333 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5019	1398

prune123.0ms

Filtered

85 candidates to 116 candidates (-36.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	116	10	126

Merged error: 0b

Counts

126 → 10

regimes399.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample804.0ms

Algorithm

intervals

Results

367.0ms	8000×	body	80	valid
140.0ms	3017×	body	80	invalid

Details

analyze814.0ms

sample29.0ms

simplify67.0ms

prune14.0ms

localize9.0ms

rewrite21.0ms

series19.0ms

simplify38.0ms

prune135.0ms

localize9.0ms

rewrite21.0ms

series21.0ms

simplify54.0ms

prune152.0ms

localize11.0ms

rewrite30.0ms

series19.0ms

simplify70.0ms

prune156.0ms

localize10.0ms

rewrite29.0ms

series33.0ms

simplify43.0ms

prune123.0ms

regimes399.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample804.0ms

Profiling