Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	316×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	6
1	51	5
2	172	5
3	481	5
4	1241	5
5	3102	5
6	5001	5

prune6.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

8.0ms	(- (/ 2.0 3.0) z)
9.0ms	(* (- y x) 6.0)
11.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
15.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series155.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
32.0ms	(* (- y x) 6.0)
59.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
46.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify120.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	1016	3937
1	4362	2939
2	5001	2939

prune625.0ms

Filtered

316 candidates to 179 candidates (56.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	308	8	316
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	310	8	318

Merged error: 0.0b

Counts

318 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (* (/ 2.0 3.0) (- y x)) 6.0 x) (* (- z) (* (- y x) 6.0)))
0.2b	(* (- z) (* (- y x) 6.0))
0.3b	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
0.3b	(* (/ 2.0 3.0) (- y x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt`
23×	`associate-l`
18×	`prod-diff`
14×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
6×	`associate-r` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-*r/` `pow-prod-down` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `flip3--` `fma-def` `distribute-rgt-neg-in` `associate-*l/` `flip--`
2×	`frac-times` `sub-neg` `*-commutative` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `neg-mul-1` `associate-+l+` `flip3-+` `div-exp` `unsub-neg` `sum-log` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

3.0ms	(+ (fma (* (/ 2.0 3.0) (- y x)) 6.0 x) (* (- z) (* (- y x) 6.0)))
7.0ms	(* (- z) (* (- y x) 6.0))
1.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
9.0ms	(* (/ 2.0 3.0) (- y x))

series217.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (fma (* (/ 2.0 3.0) (- y x)) 6.0 x) (* (- z) (* (- y x) 6.0)))
44.0ms	(* (- z) (* (- y x) 6.0))
74.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
29.0ms	(* (/ 2.0 3.0) (- y x))

simplify66.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	631	958
1	2551	768
2	5001	753

prune303.0ms

Filtered

133 candidates to 91 candidates (68.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	133	8	141

Merged error: 0.0b

Counts

141 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series727.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
176.0ms	(cbrt x)
173.0ms	(cbrt x)

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune283.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	6	6
Picked	0	1	1
Done	1	0	1
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.4b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

133×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
117×	`add-cube-cbrt` `prod-diff`
92×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`div-inv`
9×	`associate-r`
8×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--` `distribute-lft-out--`
2×	`associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `fma-udef`

Counts

4 → 210

Calls

4 calls:

8.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
17.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series143.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
28.0ms	(* (- y x) 6.0)
42.0ms	(* 6.0 (- (/ 2.0 3.0) z))
51.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	542	2345
1	2034	1603
2	5002	1519

prune404.0ms

Filtered

222 candidates to 99 candidates (44.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	222	8	230

Merged error: 0.0b

Counts

230 → 8

regimes128.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample598.0ms

Algorithm

intervals

Results

302.0ms	9286×	body	80	valid
29.0ms	257×	body	640	valid
23.0ms	162×	body	1280	valid
15.0ms	177×	body	320	valid
6.0ms	103×	body	160	valid