Details

sample80.0ms

Algorithm

intervals

Results

23.0ms	316×	body	80	valid
3.0ms	12×	body	640	valid
2.0ms	5×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	51	12
3	172	12
4	586	12
5	2042	12
done	5001	12

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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)

rewrite211.0ms

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:

51.0ms	(- (/ 2.0 3.0) z)
140.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series268.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (/ 2.0 3.0) z)
92.0ms	(* 6.0 (- (/ 2.0 3.0) z))
126.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify1.6s

Counts

195 → 195

Iterations

Useful iterations: done (1.6s)

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

prune875.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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)

rewrite14.0ms

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:

12.0ms	(- 4.0 (* 6.0 z))
1.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

series209.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(- 4.0 (* 6.0 z))
112.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify2.1s

Counts

36 → 36

Iterations

Useful iterations: done (2.1s)

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

prune292.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite347.0ms

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:

44.0ms	(- (/ 2.0 3.0) z)
58.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
53.0ms	(* (- y x) 6.0)
156.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series364.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (/ 2.0 3.0) z)
144.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
67.0ms	(* (- y x) 6.0)
99.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.2s

Counts

316 → 316

Iterations

Useful iterations: done (1.2s)

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

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (/ 1 3.0) (- z))
0.0b	(* (- y x) 6.0)
0.2b	(* (fma 2.0 (/ 1 3.0) (- z)) (- y x))
0.2b	(fma (* (fma 2.0 (/ 1 3.0) (- z)) (- y x)) 6.0 x)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

1.0ms	(fma 2.0 (/ 1 3.0) (- z))
43.0ms	(* (- y x) 6.0)
58.0ms	(* (fma 2.0 (/ 1 3.0) (- z)) (- y x))
1.0ms	(fma (* (fma 2.0 (/ 1 3.0) (- z)) (- y x)) 6.0 x)

series357.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(fma 2.0 (/ 1 3.0) (- z))
70.0ms	(* (- y x) 6.0)
87.0ms	(* (fma 2.0 (/ 1 3.0) (- z)) (- y x))
129.0ms	(fma (* (fma 2.0 (/ 1 3.0) (- z)) (- y x)) 6.0 x)

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	170	1720
1	358	1544
2	1685	1154
done	5000	1126

prune697.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes473.0ms

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

sample2.1s

Algorithm

intervals

Results

1.4s	9444×	body	80	valid
108.0ms	276×	body	640	valid
46.0ms	150×	body	1280	valid
38.0ms	189×	body	320	valid
15.0ms	120×	body	160	valid