Details

sample39.0ms

Algorithm

intervals

Results

18.0ms	303×	body	80	valid
3.0ms	12×	body	640	valid
2.0ms	6×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	1×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

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))

rewrite146.0ms

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:

21.0ms	(- (/ 2.0 3.0) z)
24.0ms	(* (- y x) 6.0)
11.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
82.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series217.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
51.0ms	(* (- y x) 6.0)
87.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
55.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.4s

Counts

320 → 320

Iterations

Iter	Nodes
done	5012
2	3216
1	1103
0	404

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
0.2b	(fma (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
1.0b	(/ 2.0 (sqrt 3.0))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

1468×	`times-frac`
1063×	`add-sqr-sqrt`
1037×	`*-un-lft-identity`
1033×	`add-cube-cbrt`
816×	`prod-diff`
737×	`sqrt-prod`
410×	`distribute-rgt-in` `distribute-lft-in`
43×	`div-inv`
14×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `associate-l` `difference-of-squares`
6×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`sub-neg` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef`

Counts

4 → 929

Calls

4 calls:

16.0ms	(* (- y x) 6.0)
95.0ms	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
5.0ms	(/ 2.0 (sqrt 3.0))

series806.0ms

Counts

4 → 10

Calls

4 calls:

39.0ms	(* (- y x) 6.0)
186.0ms	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
580.0ms	(fma (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
0.0ms	(/ 2.0 (sqrt 3.0))

simplify2.6s

Counts

939 → 939

Iterations

Iter	Nodes
done	5000
1	2630
0	1256

prune3.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite16.0ms

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:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series934.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt x) (cbrt x))
211.0ms	(cbrt x)
217.0ms	(cbrt x)
251.0ms	(cbrt x)

simplify2.8s

Counts

97 → 97

Iterations

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

prune506.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* 6.0 (- y x))
0.4b	(fma (* 6.0 (- y x)) (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) x)
1.0b	(/ 2.0 (cbrt 3.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`add-cube-cbrt`
18×	`times-frac` `prod-diff`
12×	`cbrt-prod`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1` `associate-r` `associate-l`
6×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`sub-neg` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

4 → 125

Calls

4 calls:

26.0ms	(* (- y x) 6.0)
21.0ms	(* 6.0 (- y x))
0.0ms	(fma (* 6.0 (- y x)) (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) x)
7.0ms	(/ 2.0 (cbrt 3.0))

series255.0ms

Counts

4 → 10

Calls

4 calls:

46.0ms	(* (- y x) 6.0)
51.0ms	(* 6.0 (- y x))
157.0ms	(fma (* 6.0 (- y x)) (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) x)
0.0ms	(/ 2.0 (cbrt 3.0))

simplify2.1s

Counts

135 → 135

Iterations

Iter	Nodes
done	5010
3	2564
2	886
1	438
0	225

prune775.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

768.0ms	9361×	body	80	valid
105.0ms	296×	body	640	valid
47.0ms	147×	body	1280	valid
37.0ms	201×	body	320	valid
14.0ms	122×	body	160	valid