Details

sample54.0ms

Algorithm

intervals

Results

28.0ms	323×	body	80	valid
2.0ms	5×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	160	valid
1.0ms	3×	body	320	valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	51	12
3	172	12
4	477	12
5	1152	12
6	2708	12
done	5000	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
118×	`*-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`
6×	`associate-r`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 186

Calls

3 calls:

51.0ms	(- (/ 2.0 3.0) z)
90.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series187.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (/ 2.0 3.0) z)
58.0ms	(* 6.0 (- (/ 2.0 3.0) z))
97.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.6s

Counts

195 → 195

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	257	4364
1	455	3245
2	930	2739
3	3028	2292
done	5000	1959

prune300.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))
0.0b	(* (- y x) 6.0)
0.7b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite197.0ms

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

Counts

4 → 304

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
27.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
24.0ms	(* (- y x) 6.0)
95.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series191.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
74.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
35.0ms	(* (- y x) 6.0)
61.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.5s

Counts

316 → 316

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	400	7667
1	922	6190
2	2975	5410
done	5002	4990

prune766.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
78×	`*-un-lft-identity` `prod-diff`
76×	`add-cube-cbrt`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`associate-*l/`
6×	`flip3--` `associate-r` `flip--` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative` `distribute-lft-out--`

Counts

4 → 152

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
108.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series808.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt x)
252.0ms	(cbrt x)
257.0ms	(cbrt x)
56.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.3s

Counts

164 → 164

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	287	4052
1	704	3280
2	2160	2899
done	5000	2718

prune380.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.7b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
79×	`add-cube-cbrt`
78×	`prod-diff`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
27×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`flip3--` `associate-r` `flip--` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative` `distribute-lft-out--`

Counts

4 → 161

Calls

4 calls:

1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
88.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series1.1s

Counts

4 → 12

Calls

4 calls:

354.0ms	(cbrt (cbrt x))
368.0ms	(cbrt (cbrt x))
379.0ms	(cbrt (cbrt x))
47.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.2s

Counts

173 → 173

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	297	4187
1	718	3412
2	2177	3031
done	5001	2850

prune549.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	37
1	28	37
done	28	37

end0.0ms

sample1.2s

Algorithm

intervals

Results

589.0ms	9294×	body	80	valid
92.0ms	209×	body	320	valid
82.0ms	276×	body	640	valid
36.0ms	160×	body	1280	valid
12.0ms	129×	body	160	valid