Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	290×	body	80	nan
8.0ms	276×	body	80	valid

simplify104.0ms

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

prune2.0ms

Filtered

1 candidates to 0 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: 0.4b

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))
0.4b	(/ 1.0 (* x 9.0))

rewrite26.0ms

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:

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

series137.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ y (/ 1.0 (* x 9.0)))
60.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
38.0ms	(* 3.0 (sqrt x))
15.0ms	(/ 1.0 (* x 9.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	456	548
1	2172	486
2	5002	484

prune191.0ms

Filtered

96 candidates to 62 candidates (64.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

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	(/ (/ 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` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r*`
2×	`sub-neg` `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 → 133

Calls

4 calls:

14.0ms	(+ y (/ (/ 1.0 x) 9.0))
18.0ms	(* (* 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))

series136.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ y (/ (/ 1.0 x) 9.0))
61.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
15.0ms	(/ (/ 1.0 x) 9.0)
35.0ms	(* 3.0 (sqrt x))

simplify75.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	679	914
1	2985	846
2	5001	846

prune314.0ms

Filtered

145 candidates to 105 candidates (72.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	138	7	145
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Merged error: 0.0b

Counts

156 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
70×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
53×	`add-cube-cbrt`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `associate-/l*`
8×	`sqrt-prod`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative` `difference-of-squares`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 142

Calls

4 calls:

21.0ms	(* (* 3.0 (sqrt x)) (- (/ (/ 1.0 x) 9.0) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))

series159.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (* 3.0 (sqrt x)) (- (/ (/ 1.0 x) 9.0) 1.0))
15.0ms	(/ (/ 1.0 x) 9.0)
39.0ms	(* 3.0 (sqrt x))
35.0ms	(* 3.0 (sqrt x))

simplify86.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	602	921
1	2733	842
2	5002	842

prune350.0ms

Filtered

154 candidates to 111 candidates (72.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	155	10	165

Merged error: 0.0b

Counts

165 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

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

Counts

4 → 147

Calls

4 calls:

11.0ms	(+ y (/ (/ 1.0 x) 9.0))
6.0ms	(/ (/ 1.0 x) 9.0)
23.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
18.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

series165.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ y (/ (/ 1.0 x) 9.0))
15.0ms	(/ (/ 1.0 x) 9.0)
65.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
61.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	649	1136
1	2707	1056
2	5001	1056

prune318.0ms

Filtered

159 candidates to 110 candidates (69.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	157	12	169

Merged error: 0.0b

Counts

169 → 12

regimes88.0ms

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	15	7
1	15	7

end0.0ms

sample801.0ms

Algorithm

intervals

Results

266.0ms	8643×	body	80	nan
263.0ms	8500×	body	80	valid