Details

analyze47.0ms

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%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

sample34.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4819	14
1	4819	14

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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series21.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

simplify28.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5384	938

prune157.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	83	11	94
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ 1.0 x) 9.0))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
57×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
12×	`associate-r`
11×	`pow1`
6×	`add-log-exp`
5×	`div-inv`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

12.0ms	(+ y (/ (/ 1.0 x) 9.0))
19.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series24.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ (/ 1.0 x) 9.0))
14.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
2.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))

simplify34.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5548	1567

prune238.0ms

Filtered

108 candidates to 143 candidates (-32.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	142	13	155

Merged error: 0.0b

Counts

155 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
0.2b	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-l` `add-log-exp`
6×	`associate-r/` `associate-r*`
5×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `sqrt-prod` `distribute-lft-out`
3×	`flip3-+` `times-frac` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
14.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
4.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
9.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
2.0ms	(/ 1.0 (* x 9.0))
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

simplify27.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5778	1241

prune146.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	101	13	114

Merged error: 0.0b

Counts

114 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (sqrt (/ 1.0 x)) (/ (sqrt (/ 1.0 x)) 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ (sqrt (/ 1.0 x)) 9.0)
0.3b	(* (sqrt (/ 1.0 x)) (/ (sqrt (/ 1.0 x)) 9.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

184×	`times-frac`
152×	`add-sqr-sqrt`
122×	`sqrt-prod`
108×	`*-un-lft-identity`
106×	`add-cube-cbrt`
63×	`associate-r`
20×	`associate-l`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
14×	`unswap-sqr`
13×	`pow1`
10×	`div-inv`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`sqrt-div` `associate-r/` `associate-/r` `*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `associate--l+`
1×	`frac-times` `flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 224

Calls

4 calls:

9.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (sqrt (/ 1.0 x)) (/ (sqrt (/ 1.0 x)) 9.0))) 1.0))
6.0ms	(* 3.0 (sqrt x))
7.0ms	(/ (sqrt (/ 1.0 x)) 9.0)
25.0ms	(* (sqrt (/ 1.0 x)) (/ (sqrt (/ 1.0 x)) 9.0))

series33.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (sqrt (/ 1.0 x)) (/ (sqrt (/ 1.0 x)) 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
5.0ms	(/ (sqrt (/ 1.0 x)) 9.0)
7.0ms	(* (sqrt (/ 1.0 x)) (/ (sqrt (/ 1.0 x)) 9.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4965	2908
1	4965	2908

prune464.0ms

Filtered

180 candidates to 236 candidates (-31.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	236	13	249

Merged error: 0.0b

Counts

249 → 13

regimes151.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms

sample840.0ms

Algorithm

intervals

Results

300.0ms

8000×

body

valid

Details

analyze47.0ms

sample34.0ms

simplify146.0ms

prune9.0ms

localize9.0ms

rewrite28.0ms

series21.0ms

simplify28.0ms

prune157.0ms

localize10.0ms

rewrite47.0ms

series24.0ms

simplify34.0ms

prune238.0ms

localize10.0ms

rewrite43.0ms

series27.0ms

simplify27.0ms

prune146.0ms

localize12.0ms

rewrite59.0ms

series33.0ms

simplify63.0ms

prune464.0ms

regimes151.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample840.0ms

Profiling