Details

analyze388.0ms

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

sample28.0ms

Algorithm

intervals

Results

10.0ms	235×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	17×	body	80	invalid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify195.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (193.0ms)

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

rewrite32.0ms

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:

7.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
13.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series30.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4988	1087
1	4988	1087

prune143.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize11.0ms

Local error

Found 4 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)
0.0b	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
0.2b	(* (* (- y x) 6.0) (neg z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

8.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (* (- y x) 6.0) (neg z)))
6.0ms	(* (- y x) 6.0)
4.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
8.0ms	(* (* (- y x) 6.0) (neg z))

series29.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (* (- y x) 6.0) (neg z)))
4.0ms	(* (- y x) 6.0)
5.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
8.0ms	(* (* (- y x) 6.0) (neg z))

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5008	1225

prune125.0ms

Filtered

64 candidates to 91 candidates (-42.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

12.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
6.0ms	(* z (- x y))
11.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
8.0ms	(* 6.0 (* z (- x y)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
7.0ms	(* z (- x y))
13.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
10.0ms	(* 6.0 (* z (- x y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5185	1545

prune123.0ms

Filtered

70 candidates to 99 candidates (-41.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

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

rewrite38.0ms

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:

7.0ms	(- (/ 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))
15.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
12.0ms	(+ 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

prune104.0ms

Filtered

69 candidates to 98 candidates (-42.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

regimes311.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	321	19
1	321	19

end0.0ms

sample537.0ms

Algorithm

intervals

Results

262.0ms	7340×	body	80	valid
28.0ms	216×	body	640	valid
23.0ms	142×	body	1280	valid
21.0ms	605×	body	80	invalid
19.0ms	180×	body	320	valid
8.0ms	122×	body	160	valid

Details

analyze388.0ms

sample28.0ms

simplify195.0ms

prune10.0ms

localize8.0ms

rewrite32.0ms

series30.0ms

simplify47.0ms

prune143.0ms

localize11.0ms

rewrite27.0ms

series29.0ms

simplify44.0ms

prune125.0ms

localize11.0ms

rewrite39.0ms

series43.0ms

simplify30.0ms

prune123.0ms

localize8.0ms

rewrite38.0ms

series27.0ms

simplify25.0ms

prune104.0ms

regimes311.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample537.0ms

Profiling