Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	317×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify72.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	6
1	51	5
2	172	5
3	481	5
4	1241	5
5	3102	5
6	5001	5
done	5001	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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))

rewrite159.0ms

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:

20.0ms	(- (/ 2.0 3.0) z)
23.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
21.0ms	(* (- y x) 6.0)
73.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series158.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
61.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
34.0ms	(* (- y x) 6.0)
44.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify120.0ms

Counts

316 → 316

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	1016	3937
1	4362	2939
2	5001	2939
done	5001	2939

prune675.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) (- z))
0.2b	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
0.4b	(* (/ 2.0 3.0) (- y x))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
19×	`associate-l`
18×	`associate-r` `prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
7×	`associate-*l/`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative` `unswap-sqr`
2×	`frac-times` `sub-neg` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `neg-mul-1` `div-exp` `distribute-rgt-neg-out` `fma-udef` `div-inv`

Counts

4 → 126

Calls

4 calls:

20.0ms	(* (- y x) 6.0)
37.0ms	(* (* (- y x) 6.0) (- z))
0.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
29.0ms	(* (/ 2.0 3.0) (- y x))

series144.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- y x) 6.0)
33.0ms	(* (* (- y x) 6.0) (- z))
44.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
34.0ms	(* (/ 2.0 3.0) (- y x))

simplify65.0ms

Counts

138 → 138

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	611	851
1	2906	662
2	5003	649
done	5003	649

prune295.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.4b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite87.0ms

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:

21.0ms	(- (/ 2.0 3.0) z)
55.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series116.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (/ 2.0 3.0) z)
38.0ms	(* 6.0 (- (/ 2.0 3.0) z))
58.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify60.0ms

Counts

195 → 195

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	453	2251
1	1592	1519
2	5002	1387
done	5002	1387

prune275.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series773.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt x) (cbrt x))
189.0ms	(cbrt x)
188.0ms	(cbrt x)
188.0ms	(cbrt x)

simplify91.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune437.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	9
1	24	9
2	31	9
3	31	9
done	31	9

end0.0ms

sample599.0ms

Algorithm

intervals

Results

256.0ms	9423×	body	80	valid
26.0ms	268×	body	640	valid
21.0ms	146×	body	1280	valid
16.0ms	183×	body	320	valid
5.0ms	112×	body	160	valid