Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	299×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify71.0ms

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 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 186

Calls

3 calls:

9.0ms	(- (/ 2.0 3.0) z)
13.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series111.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- (/ 2.0 3.0) z)
41.0ms	(* 6.0 (- (/ 2.0 3.0) z))
51.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	453	2251
1	1592	1519
2	5002	1387

prune276.0ms

Filtered

195 candidates to 79 candidates (40.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	188	7	195
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	189	8	197

Merged error: 0.0b

Counts

197 → 8

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))

rewrite66.0ms

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:

9.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
20.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series161.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
29.0ms	(* (- y x) 6.0)
65.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
48.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify118.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (23.0ms)

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

prune638.0ms

Filtered

316 candidates to 178 candidates (56.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	311	5	316
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	317	7	324

Merged error: 0.0b

Counts

324 → 7

localize15.0ms

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))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite40.0ms

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:

9.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
13.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series148.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
35.0ms	(* (- y x) 6.0)
38.0ms	(* 6.0 (- (/ 2.0 3.0) z))
56.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (51.0ms)

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

prune451.0ms

Filtered

222 candidates to 99 candidates (44.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	222	7	229

Merged error: 0.0b

Counts

229 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
59.5b	(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

series1.1s

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt z)
182.0ms	(cbrt z)
181.0ms	(cbrt z)
521.0ms	(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

simplify38.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	62	267
1	152	229
2	714	219
3	5001	201

prune254.0ms

Filtered

61 candidates to 53 candidates (86.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

regimes146.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	33	12
2	35	12
3	35	12

end0.0ms

sample555.0ms

Algorithm

intervals

Results

268.0ms	9368×	body	80	valid
33.0ms	270×	body	640	valid
19.0ms	152×	body	1280	valid
18.0ms	203×	body	320	valid
6.0ms	109×	body	160	valid