Details

analyze401.0ms

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

8.0ms	226×	body	80	valid
2.0ms	14×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	16×	body	80	invalid
1.0ms	7×	body	320	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

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

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)))

rewrite41.0ms

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)))

series28.0ms

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)))

simplify26.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5487	1214

prune153.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

localize11.0ms

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)))

rewrite21.0ms

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))))
8.0ms	(* (- y x) (* 6.0 (neg z)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (+ 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))))
10.0ms	(* (- 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

prune96.0ms

Filtered

43 candidates to 61 candidates (-41.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	62	9	71

Merged error: 0.0b

Counts

71 → 9

localize8.0ms

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))

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:

7.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
14.0ms	(* (* (- 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)
13.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4988	1087
1	4988	1087

prune147.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

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

series569.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
93.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
92.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
290.0ms	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

simplify40.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5094	2901

prune294.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

regimes433.0ms

Accuracy

0% (0.1b 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

sample569.0ms

Algorithm

intervals

Results

270.0ms	7252×	body	80	valid
39.0ms	281×	body	640	valid
28.0ms	161×	body	1280	valid
23.0ms	590×	body	80	invalid
19.0ms	180×	body	320	valid
9.0ms	126×	body	160	valid

Details

analyze401.0ms

sample22.0ms

simplify192.0ms

prune9.0ms

localize8.0ms

rewrite41.0ms

series28.0ms

simplify26.0ms

prune153.0ms

localize11.0ms

rewrite21.0ms

series28.0ms

simplify24.0ms

prune96.0ms

localize8.0ms

rewrite33.0ms

series28.0ms

simplify49.0ms

prune147.0ms

localize14.0ms

rewrite19.0ms

series569.0ms

simplify40.0ms

prune294.0ms

regimes433.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample569.0ms

Profiling