Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	291×	body	80	valid
3.0ms	14×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune7.0ms

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)

rewrite35.0ms

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:

12.0ms	(- (/ 2.0 3.0) z)
12.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series108.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(- (/ 2.0 3.0) z)
40.0ms	(* 6.0 (- (/ 2.0 3.0) z))
49.0ms	(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

prune230.0ms

Filtered

195 candidates to 79 candidates (40.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	189	6	195
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	190	7	197

Merged error: 0.0b

Counts

197 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.1b	(fma (- y x) (- 4.0 (* 6.0 z)) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 30

Calls

2 calls:

3.0ms	(- 4.0 (* 6.0 z))
1.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- 4.0 (* 6.0 z))
51.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify128.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	144	177
1	378	156
2	1444	155
3	4973	139
4	5001	139

prune75.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize9.0ms

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:

12.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
17.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series162.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
31.0ms	(* (- y x) 6.0)
66.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
43.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify125.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (28.0ms)

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

prune561.0ms

Filtered

316 candidates to 179 candidates (56.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	311	5	316
Fresh	3	2	5
Picked	1	0	1
Done	1	0	1
Total	316	7	323

Merged error: 0.0b

Counts

323 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) (- z))
0.2b	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
0.4b	(* (/ 2.0 3.0) (- y x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
19×	`associate-l`
18×	`associate-r` `prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
7×	`associate-*l/`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative` `unswap-sqr`
2×	`frac-times` `sub-neg` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `neg-mul-1` `div-exp` `distribute-rgt-neg-out` `fma-udef` `div-inv`

Counts

4 → 126

Calls

4 calls:

6.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) (- z))
1.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
10.0ms	(* (/ 2.0 3.0) (- y x))

series139.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- y x) 6.0)
30.0ms	(* (* (- y x) 6.0) (- z))
46.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
32.0ms	(* (/ 2.0 3.0) (- y x))

simplify68.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	611	851
1	2906	662
2	5003	649

prune240.0ms

Filtered

138 candidates to 90 candidates (65.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	138	7	145

Merged error: 0.0b

Counts

145 → 7

regimes126.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	9
1	24	9
2	31	9
3	31	9

end0.0ms

sample669.0ms

Algorithm

intervals

Results

360.0ms	9486×	body	80	valid
36.0ms	268×	body	640	valid
27.0ms	160×	body	1280	valid
20.0ms	201×	body	320	valid
7.0ms	106×	body	160	valid