Details

sample30.0ms

Algorithm

intervals

Results

11.0ms	293×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	8×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune10.0ms

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)

rewrite140.0ms

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:

33.0ms	(- (/ 2.0 3.0) z)
92.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series143.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (/ 2.0 3.0) z)
53.0ms	(* 6.0 (- (/ 2.0 3.0) z))
68.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify1.1s

Counts

195 → 195

Iterations

Useful iterations: done (1.1s)

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

prune438.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite260.0ms

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:

36.0ms	(- (/ 2.0 3.0) z)
36.0ms	(* (- y x) 6.0)
40.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
119.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series220.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
44.0ms	(* (- y x) 6.0)
92.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
62.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify777.0ms

Counts

316 → 316

Iterations

Useful iterations: done (763.0ms)

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

prune968.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`associate-l`
17×	`add-cube-cbrt`
16×	`pow1`
14×	`associate-r`
11×	`associate-*l/`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac` `add-log-exp`
7×	`pow-prod-down`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in` `sum-log` `*-commutative` `distribute-rgt-neg-out`
2×	`cbrt-undiv` `frac-times` `associate-+r-` `associate-*r/` `div-exp`
1×	`+-commutative` `neg-mul-1` `associate-+r+` `flip3-+` `unsub-neg` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

25.0ms	(* (- y x) 6.0)
104.0ms	(+ x (+ (* (/ 2.0 3.0) (* (- y x) 6.0)) (* (* (- y x) 6.0) (- z))))
62.0ms	(* (* (- y x) 6.0) (- z))
62.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series220.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- y x) 6.0)
95.0ms	(+ x (+ (* (/ 2.0 3.0) (* (- y x) 6.0)) (* (* (- y x) 6.0) (- z))))
48.0ms	(* (* (- y x) 6.0) (- z))
42.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify2.4s

Counts

126 → 126

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	201	1623
1	590	1532
2	3147	1327
done	5000	1323

prune370.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

16.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (cbrt x) (cbrt x))
245.0ms	(cbrt x)
269.0ms	(cbrt x)
278.0ms	(cbrt x)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune316.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	12	12
done	12	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

636.0ms	9423×	body	80	valid
86.0ms	272×	body	640	valid
76.0ms	152×	body	1280	valid
28.0ms	190×	body	320	valid
9.0ms	93×	body	160	valid