Details

analyze413.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	236×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	3×	body	1280	valid
0.0ms	14×	body	80	invalid
0.0ms	1×	body	160	valid

simplify238.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (235.0ms)

Iter	Nodes	Cost
0	4926	13
1	4926	13

prune10.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

10.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
13.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
3.0ms	(* 6.0 (- (/ 2.0 3.0) z))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify25.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5487	1214

prune163.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.0b	(- 4.0 (* 6.0 z))
0.1b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`flip3--` `*-un-lft-identity` `flip--` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-l` `add-cbrt-cube`
4×	`frac-times`
3×	`associate-r`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 54

Calls

3 calls:

4.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
3.0ms	(- 4.0 (* 6.0 z))
8.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
3.0ms	(- 4.0 (* 6.0 z))
9.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify34.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4958	804
1	4958	804

prune99.0ms

Filtered

49 candidates to 63 candidates (-28.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
0.0b	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
0.2b	(* (- y x) (* 6.0 (neg z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*l/`
10×	`flip3--` `frac-add` `flip--` `add-log-exp`
8×	`pow1` `add-exp-log` `-un-lft-identity` `associate-r/` `add-cbrt-cube`
6×	`add-sqr-sqrt` `distribute-rgt-neg-out`
5×	`associate-l`
4×	`frac-times` `add-cube-cbrt` `sum-log`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `unsub-neg` `flip-+` `distribute-lft-out`
1×	`associate-+r-` `associate-+r+` `associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 61

Calls

3 calls:

11.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
12.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
10.0ms	(* (- y x) (* 6.0 (neg z)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
13.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
8.0ms	(* (- y x) (* 6.0 (neg z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5041	1170

prune102.0ms

Filtered

55 candidates to 70 candidates (-27.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

9.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
14.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series29.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
13.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
10.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4988	1087
1	4988	1087

prune101.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

regimes369.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	11
1	47	11

end0.0ms

sample556.0ms

Algorithm

intervals

Results

280.0ms	7369×	body	80	valid
31.0ms	235×	body	640	valid
21.0ms	127×	body	1280	valid
21.0ms	588×	body	80	invalid
17.0ms	165×	body	320	valid
7.0ms	104×	body	160	valid

Details

analyze413.0ms

sample21.0ms

simplify238.0ms

prune10.0ms

localize8.0ms

rewrite40.0ms

series27.0ms

simplify25.0ms

prune163.0ms

localize7.0ms

rewrite16.0ms

series25.0ms

simplify34.0ms

prune99.0ms

localize12.0ms

rewrite35.0ms

series34.0ms

simplify41.0ms

prune102.0ms

localize9.0ms

rewrite36.0ms

series29.0ms

simplify49.0ms

prune101.0ms

regimes369.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample556.0ms

Profiling