Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	271×	body	80	valid
9.0ms	292×	body	80	nan

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (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: 0.5b

Counts

2 → 1

localize10.0ms

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	(* 3.0 (sqrt x))

rewrite34.0ms

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

series155.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ 1.0 (* x 9.0)))
17.0ms	(/ 1.0 (* x 9.0))
69.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
41.0ms	(* 3.0 (sqrt x))

simplify66.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (54.0ms)

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

prune240.0ms

Filtered

96 candidates to 62 candidates (64.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	84	12	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

localize10.0ms

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	(* 3.0 (sqrt x))

rewrite52.0ms

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:

13.0ms	(+ y (/ (/ 1.0 x) 9.0))
6.0ms	(/ (/ 1.0 x) 9.0)
20.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
5.0ms	(* 3.0 (sqrt x))

series159.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ (/ 1.0 x) 9.0))
18.0ms	(/ (/ 1.0 x) 9.0)
70.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
41.0ms	(* 3.0 (sqrt x))

simplify85.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (20.0ms)

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

prune344.0ms

Filtered

145 candidates to 105 candidates (72.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	147	10	157

Merged error: 0.0b

Counts

157 → 10

localize10.0ms

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

rewrite73.0ms

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:

13.0ms	(+ y (/ (/ 1.0 x) 9.0))
7.0ms	(/ (/ 1.0 x) 9.0)
21.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
25.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ (/ 1.0 x) 9.0))
17.0ms	(/ (/ 1.0 x) 9.0)
63.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
73.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (19.0ms)

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

prune354.0ms

Filtered

159 candidates to 110 candidates (69.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	158	11	169

Merged error: 0.0b

Counts

169 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (sqrt x))
0.3b	(/ 1.0 (sqrt x))
0.3b	(* (/ 1 (sqrt x)) (/ (/ 1.0 (sqrt x)) 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

215×	`times-frac`
189×	`add-sqr-sqrt`
120×	`*-un-lft-identity`
112×	`add-cube-cbrt`
77×	`sqrt-prod`
76×	`associate-r`
51×	`add-exp-log`
31×	`add-cbrt-cube`
25×	`associate-l`
22×	`unswap-sqr`
21×	`div-exp`
13×	`prod-exp`
12×	`associate-/r*`
11×	`cbrt-undiv`
10×	`pow1`
7×	`cbrt-unprod` `div-inv`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow-flip`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l/` `inv-pow`

Counts

4 → 248

Calls

4 calls:

5.0ms	(/ 1 (sqrt x))
5.0ms	(/ 1.0 (sqrt x))
44.0ms	(* (/ 1 (sqrt x)) (/ (/ 1.0 (sqrt x)) 9.0))
5.0ms	(* 3.0 (sqrt x))

series149.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1 (sqrt x))
44.0ms	(/ 1.0 (sqrt x))
29.0ms	(* (/ 1 (sqrt x)) (/ (/ 1.0 (sqrt x)) 9.0))
47.0ms	(* 3.0 (sqrt x))

simplify53.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1052	2008
1	5001	1729

prune488.0ms

Filtered

260 candidates to 156 candidates (60.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	260	11	271

Merged error: 0.0b

Counts

271 → 11

regimes132.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample817.0ms

Algorithm

intervals

Results

277.0ms	8564×	body	80	valid
262.0ms	8323×	body	80	nan