Details

analyze810.0ms

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

sample31.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
4.0ms	98×	body	80	invalid

simplify290.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (284.0ms)

Iter	Nodes	Cost
0	2416	11
1	2416	11

prune12.0ms

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))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.3b	(/ y (* z 3.0))
7.0b	(/ t (* (* z 3.0) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

10.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(* (* z 3.0) y)
4.0ms	(/ y (* z 3.0))
5.0ms	(/ t (* (* z 3.0) y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4998	914
1	4998	914

prune149.0ms

Filtered

62 candidates to 92 candidates (-48.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Merged error: 0b

Counts

94 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.3b	(/ y (* z 3.0))
0.3b	(/ t (* z 3.0))
4.2b	(/ (/ t (* z 3.0)) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

15.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms	(/ y (* z 3.0))
4.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series28.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms	(/ y (* z 3.0))
3.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5218	1306

prune163.0ms

Filtered

89 candidates to 120 candidates (-34.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	121	6	127

Merged error: 0b

Counts

127 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (/ 3.0 t))
0.3b	(/ y (* z 3.0))
0.7b	(/ 1 (* y (* z (/ 3.0 t))))
4.0b	(* y (* z (/ 3.0 t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
37×	`add-cbrt-cube`
23×	`prod-exp`
22×	`add-sqr-sqrt`
17×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
16×	`times-frac`
15×	`div-exp`
14×	`associate-r`
13×	`cbrt-unprod`
9×	`cbrt-undiv`
7×	`pow-prod-down`
6×	`associate-l` `associate-/l*`
5×	`associate-*r/`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow-flip` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `unswap-sqr`
1×	`associate-/r/` `inv-pow`

Counts

4 → 112

Calls

4 calls:

6.0ms	(* z (/ 3.0 t))
4.0ms	(/ y (* z 3.0))
8.0ms	(/ 1 (* y (* z (/ 3.0 t))))
6.0ms	(* y (* z (/ 3.0 t)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* z (/ 3.0 t))
3.0ms	(/ y (* z 3.0))
6.0ms	(/ 1 (* y (* z (/ 3.0 t))))
6.0ms	(* y (* z (/ 3.0 t)))

simplify68.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5008	875

prune133.0ms

Filtered

70 candidates to 124 candidates (-77.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Merged error: 0b

Counts

130 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.2b	(/ (/ y z) 3.0)
7.0b	(/ t (* (* z 3.0) y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`*-un-lft-identity`
49×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
9×	`pow1` `add-log-exp`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
4×	`associate-/r*`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `frac-add` `clear-num` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 129

Calls

4 calls:

21.0ms	(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
4.0ms	(* (* z 3.0) y)
6.0ms	(/ (/ y z) 3.0)
6.0ms	(/ t (* (* z 3.0) y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
3.0ms	(* (* z 3.0) y)
3.0ms	(/ (/ y z) 3.0)
6.0ms	(/ t (* (* z 3.0) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4986	1593
1	4986	1593

prune177.0ms

Filtered

105 candidates to 141 candidates (-34.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	141	6	147

Merged error: 0b

Counts

147 → 6

regimes336.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	17
1	73	17

end0.0ms

sample849.0ms

Algorithm

intervals

Results

385.0ms	8000×	body	80	valid
141.0ms	3046×	body	80	invalid

Details

analyze810.0ms

sample31.0ms

simplify290.0ms

prune12.0ms

localize9.0ms

rewrite26.0ms

series29.0ms

simplify46.0ms

prune149.0ms

localize9.0ms

rewrite32.0ms

series28.0ms

simplify36.0ms

prune163.0ms

localize11.0ms

rewrite28.0ms

series18.0ms

simplify68.0ms

prune133.0ms

localize10.0ms

rewrite42.0ms

series29.0ms

simplify50.0ms

prune177.0ms

regimes336.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample849.0ms

Profiling