Details

sample45.0ms

Algorithm

intervals

Results

23.0ms	292×	body	80	valid
3.0ms	8×	body	640	valid
3.0ms	7×	body	1280	valid
1.0ms	4×	body	320	valid
1.0ms	5×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

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))

rewrite480.0ms

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` `insert-posit16` `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 → 308

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
30.0ms	(* (- y x) 6.0)
16.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
398.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series267.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (/ 2.0 3.0) z)
44.0ms	(* (- y x) 6.0)
121.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
61.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.8s

Counts

320 → 320

Iterations

Iter	Nodes
done	5012
2	3216
1	1103
0	404

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))))
0.1b	(* 6.0 (- (/ 2.0 3.0) z))
0.2b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite158.0ms

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` `insert-posit16` `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 → 554

Calls

4 calls:

12.0ms	(- (/ 2.0 3.0) z)
28.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
28.0ms	(* 6.0 (- (/ 2.0 3.0) z))
65.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ 2.0 3.0) z)
123.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
57.0ms	(* 6.0 (- (/ 2.0 3.0) z))
77.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify3.0s

Counts

566 → 566

Iterations

Iter	Nodes
done	5000
2	4680
1	1626
0	657

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
120×	`*-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`
7×	`flip3--` `flip--`
6×	`associate-r`
5×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-log-exp` `difference-of-squares`
4×	`frac-times`
3×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`associate-l/` `associate-r/`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 197

Calls

3 calls:

26.0ms	(- (/ 2.0 3.0) z)
75.0ms	(* (- y x) (- (/ 2.0 3.0) z))
1.0ms	(fma 6.0 (* (- y x) (- (/ 2.0 3.0) z)) x)

series148.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (/ 2.0 3.0) z)
60.0ms	(* (- y x) (- (/ 2.0 3.0) z))
63.0ms	(fma 6.0 (* (- y x) (- (/ 2.0 3.0) z)) x)

simplify2.1s

Counts

206 → 206

Iterations

Iter	Nodes
done	5003
2	2006
1	662
0	287

prune985.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

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)

rewrite30.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (cbrt x) (cbrt x))
238.0ms	(cbrt x)
318.0ms	(cbrt x)
332.0ms	(cbrt x)

simplify3.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5003
4	4334
3	1106
2	364
1	141
0	67

prune494.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes304.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s	9295×	body	80	valid
140.0ms	253×	body	640	valid
99.0ms	167×	body	1280	valid
58.0ms	209×	body	320	valid
21.0ms	119×	body	160	valid