Details

sample61.0ms

Algorithm

intervals

Results

28.0ms	294×	body	80	valid
3.0ms	9×	body	640	valid
3.0ms	6×	body	1280	valid
2.0ms	6×	body	320	valid
1.0ms	3×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.2b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite93.0ms

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:

12.0ms	(- (/ 2.0 3.0) z)
15.0ms	(* (- y x) 6.0)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
47.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series218.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
41.0ms	(* (- y x) 6.0)
93.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
62.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.7s

Counts

320 → 320

Iterations

Iter	Nodes
done	5012
2	3216
1	1103
0	404

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
0.2b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

rewrite510.0ms

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:

19.0ms	(- (/ 2.0 3.0) z)
47.0ms	(* 6.0 (- (/ 2.0 3.0) z))
49.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
33.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
44.0ms	(* 6.0 (- (/ 2.0 3.0) z))
69.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
104.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

simplify2.4s

Counts

566 → 566

Iterations

Iter	Nodes
done	5000
2	4179
1	1574
0	657

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.6b	(fma (- (* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ 2.0 (cbrt 3.0))) z) (* (- y x) 6.0) x)
1.0b	(/ 2.0 (cbrt 3.0))
1.0b	(/ 1 (cbrt 3.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac` `add-cube-cbrt`
24×	`cbrt-prod`
12×	`associate-/r*` `add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`associate-/l*`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-r`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-*l/` `div-inv` `pow-flip`
1×	`rec-exp` `flip3--` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

16.0ms	(* (- y x) 6.0)
0.0ms	(fma (- (* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ 2.0 (cbrt 3.0))) z) (* (- y x) 6.0) x)
4.0ms	(/ 2.0 (cbrt 3.0))
5.0ms	(/ 1 (cbrt 3.0))

series163.0ms

Counts

4 → 8

Calls

4 calls:

37.0ms	(* (- y x) 6.0)
126.0ms	(fma (- (* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ 2.0 (cbrt 3.0))) z) (* (- y x) 6.0) x)
0.0ms	(/ 2.0 (cbrt 3.0))
0.0ms	(/ 1 (cbrt 3.0))

simplify2.1s

Counts

133 → 133

Iterations

Iter	Nodes
done	5002
3	2626
2	841
1	364
0	196

prune853.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* z 6.0))
0.0b	(- (* y (- 4.0 (* z 6.0))) (* 3.0 x))
0.1b	(* y (- 4.0 (* z 6.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

16×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
7×	`add-log-exp`
6×	`sub-neg`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`fma-neg`
3×	`expm1-log1p-u` `flip3--` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`diff-log` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

5.0ms	(- 4.0 (* z 6.0))
14.0ms	(- (* y (- 4.0 (* z 6.0))) (* 3.0 x))
13.0ms	(* y (- 4.0 (* z 6.0)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- 4.0 (* z 6.0))
68.0ms	(- (* y (- 4.0 (* z 6.0))) (* 3.0 x))
76.0ms	(* y (- 4.0 (* z 6.0)))

simplify2.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	3200
2	886
1	301
0	121

prune578.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes360.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	9469×	body	80	valid
171.0ms	267×	body	640	valid
92.0ms	134×	body	1280	valid
57.0ms	197×	body	320	valid
21.0ms	103×	body	160	valid