Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	293×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	160	valid

simplify75.0ms

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

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

rewrite39.0ms

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:

13.0ms	(- (/ 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)

series116.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (/ 2.0 3.0) z)
42.0ms	(* 6.0 (- (/ 2.0 3.0) z))
53.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	448	2251
1	1558	1519
2	5002	1387

prune202.0ms

Filtered

195 candidates to 79 candidates (40.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	190	5	195
Fresh	0	1	1
Picked	0	1	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))
0.2b	(fma (- y x) (- 4.0 (* 6.0 z)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
10×	`associate-l`
9×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`fma-neg` `*-commutative`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 67

Calls

2 calls:

8.0ms	(- 4.0 (* 6.0 z))
1.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

series94.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- 4.0 (* 6.0 z))
58.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify155.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	333	724
1	981	466
2	4932	450
3	5001	450

prune94.0ms

Filtered

73 candidates to 34 candidates (46.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 323

Calls

4 calls:

6.0ms	(* (- y x) 6.0)
10.0ms	(- (/ 2.0 3.0) z)
31.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
22.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series169.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
20.0ms	(- (/ 2.0 3.0) z)
67.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
51.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify127.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1034	4059
1	4427	3057
2	5001	3057

prune552.0ms

Filtered

335 candidates to 192 candidates (57.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	332	3	335
Fresh	2	2	4
Picked	1	0	1
Done	1	1	2
Total	336	6	342

Merged error: 0.0b

Counts

342 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-l`
23×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
6×	`associate-*l/`
5×	`add-log-exp` `unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `distribute-lft-out`
3×	`expm1-log1p-u` `fma-def` `*-commutative` `log1p-expm1-u` `distribute-lft-out--`
2×	`distribute-rgt-in` `associate-+r+` `flip3--` `distribute-lft-in` `flip--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 85

Calls

3 calls:

6.0ms	(* (- y x) 6.0)
12.0ms	(+ x (* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))))
10.0ms	(* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))

series449.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (- y x) 6.0)
253.0ms	(+ x (* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))))
165.0ms	(* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	356	852
1	1649	730
2	5003	682

prune176.0ms

Filtered

94 candidates to 69 candidates (73.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

regimes106.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample551.0ms

Algorithm

intervals

Results

276.0ms	9420×	body	80	valid
31.0ms	289×	body	640	valid
20.0ms	132×	body	1280	valid
14.0ms	178×	body	320	valid
6.0ms	107×	body	160	valid