Details

analyze573.0ms

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

8.0ms	230×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	12×	body	80	invalid
1.0ms	6×	body	320	valid
0.0ms	5×	body	160	valid

simplify191.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (190.0ms)

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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:

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

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

simplify28.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5487	1214

prune151.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize13.0ms

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

8.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
4.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
7.0ms	(* (- y x) (* 6.0 (neg z)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify24.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	4996	1025
1	4996	1025

prune103.0ms

Filtered

45 candidates to 61 candidates (-35.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	60	10	70

Merged error: 0.0b

Counts

70 → 10

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

rewrite29.0ms

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

series28.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (* (- y x) 6.0) (neg z)))
5.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
4.0ms	(* (- y x) 6.0)
7.0ms	(* (* (- y x) 6.0) (neg z))

simplify43.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5008	1225

prune133.0ms

Filtered

65 candidates to 91 candidates (-40.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	91	10	101

Merged error: 0.0b

Counts

101 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
7.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
13.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series27.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
2.0ms	(- (/ 2.0 3.0) z)
4.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4988	1087
1	4988	1087

prune97.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	92	10	102

Merged error: 0.0b

Counts

102 → 10

regimes411.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	321	19
1	321	19

end0.0ms

sample573.0ms

Algorithm

intervals

Results

276.0ms	7273×	body	80	valid
35.0ms	263×	body	640	valid
26.0ms	157×	body	1280	valid
22.0ms	613×	body	80	invalid
20.0ms	185×	body	320	valid
8.0ms	122×	body	160	valid

Details

analyze573.0ms

sample21.0ms

simplify191.0ms

prune10.0ms

localize11.0ms

rewrite36.0ms

series27.0ms

simplify28.0ms

prune151.0ms

localize13.0ms

rewrite20.0ms

series25.0ms

simplify24.0ms

prune103.0ms

localize11.0ms

rewrite29.0ms

series28.0ms

simplify43.0ms

prune133.0ms

localize8.0ms

rewrite33.0ms

series27.0ms

simplify54.0ms

prune97.0ms

regimes411.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample573.0ms

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