Details

analyze399.0ms

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

sample22.0ms

Algorithm

intervals

Results

9.0ms	233×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	21×	body	80	invalid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	160	valid

simplify192.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (190.0ms)

Iter	Nodes	Cost
0	4926	13
1	4926	13

prune11.0ms

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 3 expressions with local error:

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))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

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

series26.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5023	947

prune118.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:

11.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
6.0ms	(* z (- x y))
12.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
9.0ms	(* 6.0 (* z (- x y)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
7.0ms	(* z (- x y))
12.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
8.0ms	(* 6.0 (* z (- x y)))

simplify31.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5185	1545

prune128.0ms

Filtered

70 candidates to 99 candidates (-41.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

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

series288.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
95.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
93.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
91.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify30.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5810	2024

prune280.0ms

Filtered

68 candidates to 83 candidates (-22.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (* (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

16.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
3.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
3.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
3.0ms	(cbrt (+ x (* (* (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
91.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
92.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
114.0ms	(cbrt (+ x (* (* (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))))

simplify35.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	6040	1997

prune373.0ms

Filtered

68 candidates to 83 candidates (-22.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

regimes440.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

end0.0ms

sample647.0ms

Algorithm

intervals

Results

306.0ms	7275×	body	80	valid
41.0ms	265×	body	640	valid
33.0ms	142×	body	1280	valid
25.0ms	594×	body	80	invalid
24.0ms	194×	body	320	valid
10.0ms	124×	body	160	valid

Details

analyze399.0ms

sample22.0ms

simplify192.0ms

prune11.0ms

localize9.0ms

rewrite29.0ms

series26.0ms

simplify47.0ms

prune118.0ms

localize12.0ms

rewrite40.0ms

series40.0ms

simplify31.0ms

prune128.0ms

localize14.0ms

rewrite23.0ms

series288.0ms

simplify30.0ms

prune280.0ms

localize23.0ms

rewrite25.0ms

series306.0ms

simplify35.0ms

prune373.0ms

regimes440.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample647.0ms

Profiling