Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	273×	body	80	valid
8.0ms	279×	body	80	nan

simplify113.0ms

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

prune5.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(/ 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

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

Counts

4 → 148

Calls

4 calls:

12.0ms	(+ y (/ 1.0 (* x 9.0)))
7.0ms	(/ 1.0 (* x 9.0))
24.0ms	(* (* 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:

27.0ms	(+ y (/ 1.0 (* x 9.0)))
16.0ms	(/ 1.0 (* x 9.0))
67.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
44.0ms	(* 3.0 (sqrt x))

simplify84.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	642	994
1	3093	931
2	5001	929

prune265.0ms

Filtered

160 candidates to 110 candidates (68.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	148	12	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	12	161

Merged error: 0.0b

Counts

161 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 165

Calls

4 calls:

12.0ms	(+ y (/ 1.0 (* x 9.0)))
18.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(/ 1.0 (* x 9.0))
28.0ms	(* (sqrt x) (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ 1.0 (* x 9.0)))
30.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))
69.0ms	(* (sqrt x) (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	650	1181
1	3178	1109
2	5002	1109

prune275.0ms

Filtered

177 candidates to 113 candidates (63.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	177	12	189

Merged error: 0.0b

Counts

189 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.3b	(* (sqrt x) (sqrt 9.0))
0.3b	(* (sqrt x) (sqrt 9.0))
0.4b	(/ (/ 1.0 (* (sqrt x) (sqrt 9.0))) (* (sqrt x) (sqrt 9.0)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

2793×	`times-frac`
2275×	`add-sqr-sqrt`
1374×	`sqrt-prod`
1175×	`add-cube-cbrt` `*-un-lft-identity`
828×	`associate-r`
825×	`associate-l`
550×	`unswap-sqr`
138×	`*-commutative`
70×	`associate-/l*`
42×	`associate-/r*`
31×	`add-exp-log` `add-cbrt-cube`
27×	`associate-/l/`
23×	`div-inv`
14×	`pow1`
10×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
4×	`sqrt-pow1` `pow1/2` `add-log-exp`
2×	`frac-2neg` `sqrt-unprod` `clear-num`

Counts

4 → 1626

Calls

4 calls:

5.0ms	(* 3.0 (sqrt x))
6.0ms	(* (sqrt x) (sqrt 9.0))
6.0ms	(* (sqrt x) (sqrt 9.0))
58.0ms	(/ (/ 1.0 (* (sqrt x) (sqrt 9.0))) (* (sqrt x) (sqrt 9.0)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 3.0 (sqrt x))
69.0ms	(* (sqrt x) (sqrt 9.0))
73.0ms	(* (sqrt x) (sqrt 9.0))
130.0ms	(/ (/ 1.0 (* (sqrt x) (sqrt 9.0))) (* (sqrt x) (sqrt 9.0)))

simplify318.0ms

Algorithm

egg-herbie

Counts

1638 → 1638

Iterations

Useful iterations: 1 (73.0ms)

Iter	Nodes	Cost
0	4181	27303
1	5001	26383

prune2.0s

Filtered

1638 candidates to 584 candidates (35.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1636	2	1638
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	1638	12	1650

Merged error: 0.0b

Counts

1650 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 153

Calls

4 calls:

15.0ms	(+ y (/ 1.0 (* x 9.0)))
7.0ms	(/ 1.0 (* x 9.0))
19.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
24.0ms	(* (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)) 3.0)

series180.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ 1.0 (* x 9.0)))
20.0ms	(/ 1.0 (* x 9.0))
62.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
72.0ms	(* (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)) 3.0)

simplify78.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	579	1113
1	2668	1037
2	5001	1037

prune254.0ms

Filtered

165 candidates to 114 candidates (69.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	3	6	9
Picked	0	1	1
Done	0	2	2
Total	165	12	177

Merged error: 0.0b

Counts

177 → 12

regimes128.0ms

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	16	7
1	16	7

end0.0ms

sample805.0ms

Algorithm

intervals

Results

264.0ms	8548×	body	80	valid
256.0ms	8451×	body	80	nan