Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	275×	body	80	valid
11.0ms	278×	body	80	nan

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	182	7
3	338	7
4	488	7
5	757	7
6	1166	7
7	1729	7
8	2793	7
9	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.4b

Counts

2 → 1

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))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite27.0ms

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×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `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 → 84

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
11.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
13.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	508	558
1	2557	503
2	5001	501

prune160.0ms

Filtered

96 candidates to 64 candidates (33.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	86	10	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	10	97

Merged error: 0.0b

Counts

97 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
11.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
5.0ms	(/ 1.0 (* x 9.0))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
10.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
2.0ms	(/ 1.0 (* x 9.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	530	786
1	2273	716
2	5001	716

prune148.0ms

Filtered

110 candidates to 69 candidates (37.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	109	11	120

Merged error: 0.0b

Counts

120 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (/ 1 x) (/ 1.0 9.0)))
0.2b	(* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0)))
0.5b	(* (/ 1 x) (/ 1.0 9.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
33×	`add-exp-log`
26×	`*-un-lft-identity`
25×	`times-frac`
23×	`add-cbrt-cube`
22×	`add-cube-cbrt` `associate-l`
19×	`associate-r`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1`
12×	`prod-exp`
8×	`div-exp` `cbrt-unprod` `unswap-sqr`
7×	`associate-*r/`
6×	`sub-neg` `associate--l+` `add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `sqrt-prod`
3×	`*-commutative`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `div-inv`
1×	`+-commutative` `frac-times` `flip3-+` `associate-*l/` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

3.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
11.0ms	(* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
10.0ms	(* 3.0 (* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0)))
10.0ms	(* (/ 1 x) (/ 1.0 9.0))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
10.0ms	(* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
13.0ms	(* 3.0 (* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0)))
2.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	754	1082
1	3562	933
2	5002	921

prune198.0ms

Filtered

143 candidates to 95 candidates (33.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	139	4	143
Fresh	3	6	9
Picked	0	1	1
Done	1	0	1
Total	143	11	154

Merged error: 0.0b

Counts

154 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (/ 1.0 9.0) x) y)
0.1b	(* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0))
0.3b	(* (* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0)) (sqrt x))
0.4b	(/ (/ 1.0 9.0) x)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
57×	`*-un-lft-identity`
54×	`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-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r*` `sqrt-prod`
2×	`sub-neg` `flip3--` `associate-l/` `associate--l+` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `associate-/l/` `difference-of-squares` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

17.0ms	(+ (/ (/ 1.0 9.0) x) y)
20.0ms	(* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0))
22.0ms	(* (* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0)) (sqrt x))
6.0ms	(/ (/ 1.0 9.0) x)

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify74.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	694	981
1	3098	906
2	5002	906

prune227.0ms

Filtered

146 candidates to 107 candidates (26.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	147	10	157

Merged error: 0.0b

Counts

157 → 10

regimes197.0ms

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	20	10
1	20	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

351.0ms	8570×	body	80	valid
348.0ms	8663×	body	80	nan

Details

sample46.0ms

simplify114.0ms

prune3.0ms

localize9.0ms

rewrite27.0ms

series23.0ms

simplify61.0ms

prune160.0ms

localize12.0ms

rewrite35.0ms

series29.0ms

simplify59.0ms

prune148.0ms

localize10.0ms

rewrite38.0ms

series29.0ms

simplify87.0ms

prune198.0ms

localize11.0ms

rewrite69.0ms

series23.0ms

simplify74.0ms

prune227.0ms

regimes197.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling