Details

sample52.0ms

Algorithm

intervals

Results

21.0ms	310×	body	80	valid
2.0ms	7×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	3×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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)

rewrite115.0ms

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:

26.0ms	(- (/ 2.0 3.0) z)
77.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series145.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (/ 2.0 3.0) z)
53.0ms	(* 6.0 (- (/ 2.0 3.0) z))
64.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify1.0s

Counts

195 → 195

Iterations

Useful iterations: done (1.0s)

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

prune367.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify1.8s

Counts

13 → 13

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	29	184
1	57	181
2	135	158
3	429	154
4	2354	154
done	5000	154

prune47.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize298.0ms

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))

rewrite241.0ms

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:

28.0ms	(- (/ 2.0 3.0) z)
24.0ms	(* (- y x) 6.0)
39.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
119.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series236.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ 2.0 3.0) z)
40.0ms	(* (- y x) 6.0)
100.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
71.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify849.0ms

Counts

316 → 316

Iterations

Useful iterations: done (832.0ms)

Iter	Nodes	Cost
0	400	7667
1	1106	6229
done	5001	5461

prune912.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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 (* (fma 2.0 (/ 1 3.0) (- z)) (- y x)) 6.0 x)
0.3b	(* (fma 2.0 (/ 1 3.0) (- z)) (- y x))

rewrite84.0ms

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:

0.0ms	(fma 2.0 (/ 1 3.0) (- z))
44.0ms	(* (- y x) 6.0)
0.0ms	(fma (* (fma 2.0 (/ 1 3.0) (- z)) (- y x)) 6.0 x)
34.0ms	(* (fma 2.0 (/ 1 3.0) (- z)) (- y x))

series245.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(fma 2.0 (/ 1 3.0) (- z))
44.0ms	(* (- y x) 6.0)
89.0ms	(fma (* (fma 2.0 (/ 1 3.0) (- z)) (- y x)) 6.0 x)
59.0ms	(* (fma 2.0 (/ 1 3.0) (- z)) (- y x))

simplify1.2s

Counts

102 → 102

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	170	1720
1	358	1544
2	1691	1154
done	5000	1126

prune303.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

539.0ms	9433×	body	80	valid
78.0ms	265×	body	640	valid
51.0ms	141×	body	1280	valid
22.0ms	189×	body	320	valid
9.0ms	112×	body	160	valid