Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	297×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	50	12
3	140	12
4	351	12
5	899	12
6	2164	12
7	4758	12
done	5000	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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))

rewrite101.0ms

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:

13.0ms	(- (/ 2.0 3.0) z)
13.0ms	(* (- y x) 6.0)
16.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
40.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series158.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
30.0ms	(* (- y x) 6.0)
60.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
49.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.8s

Counts

316 → 316

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	400	7667
1	985	6190
2	4101	5293
done	5000	5263

prune601.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
0.0b	(* (- (/ 2.0 3.0) z) 6.0)
0.1b	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
49×	`add-cube-cbrt`
39×	`prod-diff`
38×	`times-frac`
13×	`fma-neg`
11×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
10×	`associate-*l/`
8×	`flip3--` `flip--` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

13.0ms	(- (/ 2.0 3.0) z)
8.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
34.0ms	(* (- (/ 2.0 3.0) z) 6.0)
47.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series167.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
64.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
37.0ms	(* (- (/ 2.0 3.0) z) 6.0)
46.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify711.0ms

Counts

152 → 152

Iterations

Useful iterations: done (706.0ms)

Iter	Nodes	Cost
0	230	2494
1	575	2061
2	2096	1748
done	5000	1742

prune299.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite9.0ms

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:

5.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series733.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt x) (cbrt x))
181.0ms	(cbrt x)
174.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: 3 (287.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune259.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 228

Calls

4 calls:

13.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
44.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
43.0ms	(* (- y x) (- (/ 2.0 3.0) z))

series160.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
61.0ms	(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
42.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
38.0ms	(* (- y x) (- (/ 2.0 3.0) z))

simplify1.1s

Counts

240 → 240

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	328	5571
1	707	4393
2	2913	3691
done	5000	3673

prune348.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
done	15	13

end0.0ms

sample572.0ms

Algorithm

intervals

Results

278.0ms	9377×	body	80	valid
29.0ms	274×	body	640	valid
21.0ms	141×	body	1280	valid
17.0ms	220×	body	320	valid
7.0ms	123×	body	160	valid