Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	273×	body	80	valid
9.0ms	279×	body	80	nan

simplify125.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	190	7
3	412	7
4	644	7
5	1083	7
6	1628	7
7	2273	7
8	3723	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: 0.5b

Counts

2 → 1

localize11.0ms

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))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
52×	`add-cube-cbrt`
36×	`times-frac`
34×	`associate-l`
30×	`associate-r`
24×	`prod-diff`
16×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
13×	`unswap-sqr`
12×	`associate-/r*`
11×	`pow1`
9×	`sqrt-prod`
8×	`distribute-lft-out`
7×	`*-commutative`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `associate--l+` `log1p-expm1-u`
3×	`+-commutative` `fma-def` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `distribute-lft-out--`
1×	`flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 183

Calls

4 calls:

12.0ms	(+ y (/ 1.0 (* x 9.0)))
7.0ms	(/ 1.0 (* x 9.0))
25.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))

series157.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 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))
40.0ms	(* 3.0 (sqrt x))

simplify112.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	781	1576
1	3921	1323
2	5003	1317

prune305.0ms

Filtered

195 candidates to 123 candidates (63.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	183	12	195
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	184	12	196

Merged error: 0.0b

Counts

196 → 12

localize10.0ms

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)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
105×	`add-sqr-sqrt`
80×	`distribute-rgt-in` `distribute-lft-in`
79×	`add-cube-cbrt`
72×	`prod-diff`
39×	`associate-r`
36×	`times-frac`
24×	`associate-l`
21×	`distribute-lft-out`
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×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `distribute-lft-out--`
3×	`fma-def` `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 → 248

Calls

4 calls:

12.0ms	(+ y (/ 1.0 (* x 9.0)))
20.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms	(/ 1.0 (* x 9.0))
27.0ms	(* (sqrt x) (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
31.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))
71.0ms	(* (sqrt x) (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify122.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	858	2765
1	4255	2116
2	5001	2113

prune325.0ms

Filtered

260 candidates to 130 candidates (50.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	257	3	260
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	260	12	272

Merged error: 0.0b

Counts

272 → 12

localize13.0ms

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)))

rewrite237.0ms

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×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `sqrt-unprod` `clear-num`

Counts

4 → 1634

Calls

4 calls:

5.0ms	(* 3.0 (sqrt x))
6.0ms	(* (sqrt x) (sqrt 9.0))
6.0ms	(* (sqrt x) (sqrt 9.0))
59.0ms	(/ (/ 1.0 (* (sqrt x) (sqrt 9.0))) (* (sqrt x) (sqrt 9.0)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 3.0 (sqrt x))
74.0ms	(* (sqrt x) (sqrt 9.0))
75.0ms	(* (sqrt x) (sqrt 9.0))
136.0ms	(/ (/ 1.0 (* (sqrt x) (sqrt 9.0))) (* (sqrt x) (sqrt 9.0)))

simplify323.0ms

Algorithm

egg-herbie

Counts

1646 → 1646

Iterations

Useful iterations: 1 (82.0ms)

Iter	Nodes	Cost
0	4197	27343
1	5001	26423

prune2.3s

Filtered

1646 candidates to 592 candidates (36.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1644	2	1646
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	1646	12	1658

Merged error: 0.0b

Counts

1658 → 12

localize12.0ms

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
83×	`add-cube-cbrt`
80×	`distribute-rgt-in` `distribute-lft-in`
72×	`prod-diff`
49×	`associate-r`
44×	`associate-l`
40×	`unswap-sqr`
36×	`times-frac`
23×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
21×	`distribute-lft-out`
18×	`pow1`
12×	`associate--l+` `associate-/r*`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`*-commutative`
7×	`+-commutative`
6×	`sub-neg` `associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
3×	`fma-def` `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 → 281

Calls

4 calls:

12.0ms	(+ y (/ 1.0 (* x 9.0)))
7.0ms	(/ 1.0 (* x 9.0))
20.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
37.0ms	(* (* 3.0 (sqrt 1)) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ 1.0 (* x 9.0)))
16.0ms	(/ 1.0 (* x 9.0))
61.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
65.0ms	(* (* 3.0 (sqrt 1)) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1135	3655
1	5001	2987

prune371.0ms

Filtered

293 candidates to 145 candidates (49.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	293	12	305

Merged error: 0.0b

Counts

305 → 12

regimes127.0ms

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

sample820.0ms

Algorithm

intervals

Results

277.0ms	8548×	body	80	valid
267.0ms	8451×	body	80	nan