Details

analyze1.1s

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

prune4.0ms

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: 2.8b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

208×	`*-un-lft-identity`
188×	`times-frac`
125×	`add-sqr-sqrt`
76×	`add-cube-cbrt`
39×	`distribute-lft-out--`
36×	`distribute-lft-out`
23×	`difference-of-squares`
19×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `flip3--` `div-sub` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `associate--r-`

Counts

2 → 154

Calls

2 calls:

35.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series63.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
29.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify67.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	653	1705
1	2404	1657
2	5001	1656

prune253.0ms

Filtered

93 candidates to 160 candidates (-72.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	157	4	161

Merged error: 0b

Counts

161 → 4

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.8b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
14.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series71.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
31.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify59.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	436	882
1	1450	824
2	5001	823

prune111.0ms

Filtered

77 candidates to 123 candidates (-59.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	123	4	127

Merged error: 0b

Counts

127 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b	(/ a (+ (- t z) 1.0))
9.7b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

3 → 95

Calls

3 calls:

3.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
7.0ms	(/ a (+ (- t z) 1.0))
15.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
10.0ms	(/ a (+ (- t z) 1.0))
19.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	408	686
1	1779	630
2	5002	630

prune104.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Merged error: 0b

Counts

108 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
0.0b	(* (- y z) a)
9.5b	(/ (* (- y z) a) (+ (- t z) 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

9.0ms	(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
6.0ms	(* (- y z) a)
11.0ms	(/ (* (- y z) a) (+ (- t z) 1.0))

series189.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
6.0ms	(* (- y z) a)
18.0ms	(/ (* (- y z) a) (+ (- t z) 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	355	455
1	1509	405
2	5002	405

prune66.0ms

Filtered

50 candidates to 74 candidates (-48.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	74	4	78

Merged error: 0b

Counts

78 → 4

regimes514.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

analyze1.0s

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample622.0ms

Algorithm

intervals

Results

328.0ms	7999×	body	80	valid
23.0ms	485×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze1.1s

sample25.0ms

simplify70.0ms

prune4.0ms

localize10.0ms

rewrite58.0ms

series63.0ms

simplify67.0ms

prune253.0ms

localize17.0ms

rewrite31.0ms

series71.0ms

simplify59.0ms

prune111.0ms

localize12.0ms

rewrite29.0ms

series63.0ms

simplify56.0ms

prune104.0ms

localize9.0ms

rewrite28.0ms

series189.0ms

simplify41.0ms

prune66.0ms

regimes514.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.0s

sample622.0ms

Profiling