Details

sample24.0ms

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

simplify73.0ms

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))

rewrite163.0ms

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:

23.0ms	(- (/ 2.0 3.0) z)
24.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
22.0ms	(* (- y x) 6.0)
74.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series172.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
65.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
36.0ms	(* (- y x) 6.0)
47.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify108.0ms

Counts

316 → 316

Iterations

Useful iterations: 1 (23.0ms)

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

prune677.0ms

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

21.0ms	(* (- y x) 6.0)
36.0ms	(* (- z) (* (- y x) 6.0))
0.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
31.0ms	(* (/ 2.0 3.0) (- y x))

series165.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
52.0ms	(* (- z) (* (- y x) 6.0))
48.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
35.0ms	(* (/ 2.0 3.0) (- y x))

simplify69.0ms

Counts

138 → 138

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	592	853
1	2730	663
2	5001	650
done	5001	650

prune325.0ms

Pruning

7 alts after pruning (6 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	(* 6.0 (- (/ 2.0 3.0) z))
0.4b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

133×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
117×	`add-cube-cbrt` `prod-diff`
92×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`div-inv`
9×	`associate-r`
8×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--` `distribute-lft-out--`
2×	`associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `fma-udef`

Counts

4 → 210

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
23.0ms	(* (- y x) 6.0)
56.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series166.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (/ 2.0 3.0) z)
34.0ms	(* (- y x) 6.0)
39.0ms	(* 6.0 (- (/ 2.0 3.0) z))
59.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify68.0ms

Counts

222 → 222

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	542	2345
1	2034	1603
2	5002	1519
done	5002	1519

prune425.0ms

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)

rewrite16.0ms

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)

series739.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt x) (cbrt x))
178.0ms	(cbrt x)
183.0ms	(cbrt x)
181.0ms	(cbrt x)

simplify85.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (80.0ms)

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

prune271.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes195.0ms

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

sample623.0ms

Algorithm

intervals

Results

262.0ms	9423×	body	80	valid
28.0ms	268×	body	640	valid
18.0ms	146×	body	1280	valid
13.0ms	183×	body	320	valid
6.0ms	112×	body	160	valid