Details

sample36.0ms

Algorithm

intervals

Results

13.0ms	282×	body	80	valid
2.0ms	12×	body	320	valid
2.0ms	7×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	2×	body	160	valid

simplify7.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	51	12
3	172	12
4	477	12
5	1152	12
6	2708	12
done	5000	12

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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)

rewrite152.0ms

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:

45.0ms	(- (/ 2.0 3.0) z)
84.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series209.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (/ 2.0 3.0) z)
78.0ms	(* 6.0 (- (/ 2.0 3.0) z))
94.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.7s

Counts

195 → 195

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	257	4364
1	455	3245
2	930	2739
3	3028	2292
done	5000	1959

prune377.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

11.0ms	(* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))
1.0ms	(fma (- y x) (* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))) x)

series450.0ms

Counts

2 → 6

Calls

2 calls:

188.0ms	(* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))
262.0ms	(fma (- y x) (* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))) x)

simplify990.0ms

Counts

38 → 38

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	77	726
1	162	507
2	421	392
3	1471	389
done	5002	386

prune139.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite217.0ms

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:

23.0ms	(- (/ 2.0 3.0) z)
21.0ms	(* (- y x) 6.0)
27.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
124.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series183.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
33.0ms	(* (- y x) 6.0)
76.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
50.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.5s

Counts

316 → 316

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	400	7667
1	922	6190
2	2974	5410
done	5001	4990

prune797.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt` `associate-l`
8×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `*-commutative` `flip--`
2×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out` `fma-udef`

Counts

4 → 88

Calls

4 calls:

22.0ms	(* (- y x) 6.0)
28.0ms	(* (- y x) 6.0)
50.0ms	(* (* (- y x) 6.0) (- z))
0.0ms	(fma (/ 2.0 3.0) (* (- y x) 6.0) x)

series189.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- y x) 6.0)
45.0ms	(* (- y x) 6.0)
38.0ms	(* (* (- y x) 6.0) (- z))
56.0ms	(fma (/ 2.0 3.0) (* (- y x) 6.0) x)

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	116	914
1	280	876
2	1142	770
done	5000	753

prune329.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes242.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify16.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	21	16
2	25	16
3	32	16
done	32	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

634.0ms	9429×	body	80	valid
464.0ms	124×	body	160	valid
126.0ms	261×	body	640	valid
36.0ms	142×	body	1280	valid
30.0ms	198×	body	320	valid