Details

sample35.0ms

Algorithm

intervals

Results

13.0ms	284×	body	80	valid
2.0ms	10×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	5×	body	1280	valid
0.0ms	4×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3251
5	1293
4	501
3	166
2	50
1	21
0	12

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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))

rewrite214.0ms

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-cbrt-cube` `add-exp-log`
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` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

36.0ms	(- (/ 2.0 3.0) z)
36.0ms	(* (- y x) 6.0)
38.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
69.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series262.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ 2.0 3.0) z)
53.0ms	(* (- y x) 6.0)
93.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
85.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.7s

Counts

316 → 316

Iterations

Iter	Nodes
done	5008
2	3227
1	1103
0	400

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

429×	`prod-diff`
403×	`add-sqr-sqrt`
395×	`*-un-lft-identity`
389×	`add-cube-cbrt`
369×	`distribute-rgt-in` `distribute-lft-in`
308×	`times-frac`
164×	`associate-+r+`
34×	`div-inv`
13×	`fma-neg`
11×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
10×	`associate-*r/`
8×	`flip3--` `associate-l` `flip--` `add-log-exp`
7×	`associate-r`
5×	`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-l/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 550

Calls

4 calls:

32.0ms	(- (/ 2.0 3.0) z)
69.0ms	(* 6.0 (- (/ 2.0 3.0) z))
58.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
106.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
41.0ms	(* 6.0 (- (/ 2.0 3.0) z))
70.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
66.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify2.5s

Counts

562 → 562

Iterations

Iter	Nodes
done	5000
2	4450
1	1601
0	653

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

14.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (cbrt x) (cbrt x))
281.0ms	(cbrt x)
205.0ms	(cbrt x)
260.0ms	(cbrt x)

simplify3.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4108
3	1072
2	382
1	140
0	65

prune590.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 218

Calls

4 calls:

32.0ms	(- (/ 2.0 3.0) z)
32.0ms	(* (- y x) 6.0)
119.0ms	(* (- y x) (- (/ 2.0 3.0) z))
1.0ms	(fma (* (- y x) (- (/ 2.0 3.0) z)) 6.0 x)

series211.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
48.0ms	(* (- y x) 6.0)
64.0ms	(* (- y x) (- (/ 2.0 3.0) z))
76.0ms	(fma (* (- y x) (- (/ 2.0 3.0) z)) 6.0 x)

simplify2.1s

Counts

230 → 230

Iterations

Iter	Nodes
done	5002
2	2229
1	721
0	313

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes321.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

948.0ms	9377×	body	80	valid
135.0ms	276×	body	640	valid
69.0ms	138×	body	1280	valid
30.0ms	203×	body	320	valid
12.0ms	122×	body	160	valid