Details

analyze505.0ms

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	232×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	13×	body	80	invalid
0.0ms	6×	body	160	valid

simplify206.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (201.0ms)

Iter	Nodes	Cost
0	4926	13
1	4926	13

prune9.0ms

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

rewrite37.0ms

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

series29.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify26.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5487	1214

prune150.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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:

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

series24.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify33.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4958	804
1	4958	804

prune91.0ms

Filtered

49 candidates to 63 candidates (-28.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.4b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite34.0ms

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)
8.0ms	(* (- y x) 6.0)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
13.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series28.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4988	1087
1	4988	1087

prune112.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y 4.0) (* x (- (* 6.0 z) 3.0)))
0.0b	(- (* 6.0 z) 3.0)
0.1b	(* x (- (* 6.0 z) 3.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

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

series19.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify25.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5031	566

prune59.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	54	9	63

Merged error: 0.0b

Counts

63 → 9

regimes346.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	47	11
1	47	11

end0.0ms

sample631.0ms

Algorithm

intervals

Results

298.0ms	7312×	body	80	valid
40.0ms	248×	body	640	valid
29.0ms	156×	body	1280	valid
27.0ms	588×	body	80	invalid
23.0ms	183×	body	320	valid
8.0ms	101×	body	160	valid

Details

analyze505.0ms

sample21.0ms

simplify206.0ms

prune9.0ms

localize9.0ms

rewrite37.0ms

series29.0ms

simplify26.0ms

prune150.0ms

localize7.0ms

rewrite15.0ms

series24.0ms

simplify33.0ms

prune91.0ms

localize9.0ms

rewrite34.0ms

series28.0ms

simplify50.0ms

prune112.0ms

localize7.0ms

rewrite14.0ms

series19.0ms

simplify25.0ms

prune59.0ms

regimes346.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample631.0ms

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