Details

sample31.0ms

Algorithm

intervals

Results

15.0ms	284×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	5×	body	1280	valid
0.0ms	4×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1977
4	582
3	172
2	51
1	21
0	12

prune15.0ms

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))

rewrite189.0ms

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:

26.0ms	(- (/ 2.0 3.0) z)
19.0ms	(* (- y x) 6.0)
25.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
91.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series197.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
39.0ms	(* (- y x) 6.0)
77.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
60.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify976.0ms

Counts

316 → 316

Iterations

Iter	Nodes
done	5001
1	1107
0	400

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite284.0ms

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:

24.0ms	(- (/ 2.0 3.0) z)
72.0ms	(* 6.0 (- (/ 2.0 3.0) z))
51.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
92.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
60.0ms	(* 6.0 (- (/ 2.0 3.0) z))
83.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
64.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.3s

Counts

562 → 562

Iterations

Iter	Nodes
done	5000
1	1643
0	653

prune2.9s

Pruning

7 alts after pruning (7 fresh and 0 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)

rewrite15.0ms

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:

10.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt x) (cbrt x))
254.0ms	(cbrt x)
257.0ms	(cbrt x)
229.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune527.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
18×	`prod-diff`
13×	`fma-def`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
7×	`add-log-exp`
5×	`pow1` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `flip3-+` `flip-+` `distribute-lft-out`
3×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--`
2×	`sum-log` `sub-neg` `distribute-rgt-neg-in` `associate-l/` `associate-r/`
1×	`neg-sub0` `+-commutative` `associate-+r-` `unsub-neg` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

17.0ms	(+ (/ 2.0 3.0) (- z))
98.0ms	(* (+ (/ 2.0 3.0) (- z)) (- y x))
0.0ms	(fma 6.0 (* (+ (/ 2.0 3.0) (- z)) (- y x)) x)

series114.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (/ 2.0 3.0) (- z))
37.0ms	(* (+ (/ 2.0 3.0) (- z)) (- y x))
56.0ms	(fma 6.0 (* (+ (/ 2.0 3.0) (- z)) (- y x)) x)

simplify2.0s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	3262
1	523
0	170

prune771.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes342.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	9377×	body	80	valid
59.0ms	276×	body	640	valid
34.0ms	138×	body	1280	valid
31.0ms	203×	body	320	valid
13.0ms	122×	body	160	valid