Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	307×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	3×	body	160	valid

simplify2.8s

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	586	12
5	2042	12
done	5001	12

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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)

rewrite127.0ms

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:

28.0ms	(- (/ 2.0 3.0) z)
86.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series159.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (/ 2.0 3.0) z)
48.0ms	(* 6.0 (- (/ 2.0 3.0) z))
82.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify964.0ms

Counts

195 → 195

Iterations

Useful iterations: done (954.0ms)

Iter	Nodes	Cost
0	257	4364
1	563	3284
2	1720	2739
done	5000	2487

prune362.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite7.0ms

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:

6.0ms	(- 4.0 (* 6.0 z))
0.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

series120.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- 4.0 (* 6.0 z))
69.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify1.3s

Counts

36 → 36

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	64	389
1	145	380
2	469	335
3	2152	327
done	5002	309

prune117.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite316.0ms

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:

41.0ms	(- (/ 2.0 3.0) z)
53.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
43.0ms	(* (- y x) 6.0)
155.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series213.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ 2.0 3.0) z)
97.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms	(* (- y x) 6.0)
53.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify812.0ms

Counts

316 → 316

Iterations

Useful iterations: done (795.0ms)

Iter	Nodes	Cost
0	400	7667
1	1108	6229
done	5000	5461

prune966.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
18×	`prod-diff`
13×	`fma-def`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`times-frac`
8×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`sub-neg` `distribute-rgt-neg-in` `associate-r/` `pow-prod-down` `prod-exp` `sum-log` `-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `associate-+r-` `unsub-neg` `neg-log` `fma-udef` `div-inv`

Counts

4 → 120

Calls

4 calls:

24.0ms	(+ (/ 2.0 3.0) (- z))
24.0ms	(* (- y x) 6.0)
0.0ms	(fma (* (+ (/ 2.0 3.0) (- z)) (- y x)) 6.0 x)
97.0ms	(* (+ (/ 2.0 3.0) (- z)) (- y x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (/ 2.0 3.0) (- z))
44.0ms	(* (- y x) 6.0)
75.0ms	(fma (* (+ (/ 2.0 3.0) (- z)) (- y x)) 6.0 x)
60.0ms	(* (+ (/ 2.0 3.0) (- z)) (- y x))

simplify1.8s

Counts

132 → 132

Iterations

Useful iterations: 2 (501.0ms)

Iter	Nodes	Cost
0	201	1913
1	601	1602
2	3701	1400
done	5001	1400

prune524.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	10	10
done	10	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

925.0ms	9519×	body	80	valid
61.0ms	174×	body	320	valid
45.0ms	254×	body	640	valid
33.0ms	146×	body	1280	valid
11.0ms	119×	body	160	valid