Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	301×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	9×	body	640	valid
1.0ms	9×	body	320	valid
0.0ms	1×	body	160	valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

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:

43.0ms	(- (/ 2.0 3.0) z)
99.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series155.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (/ 2.0 3.0) z)
47.0ms	(* 6.0 (- (/ 2.0 3.0) z))
85.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.5s

Counts

195 → 195

Iterations

Useful iterations: done (2.4s)

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

prune303.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))
0.0b	(* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))
0.1b	(fma (- y x) (* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`fma-udef`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

0.0ms	(fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))
13.0ms	(* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))
0.0ms	(fma (- y x) (* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))) x)

series445.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))
119.0ms	(* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))
213.0ms	(fma (- y x) (* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))) x)

simplify998.0ms

Counts

51 → 51

Iterations

Useful iterations: done (996.0ms)

Iter	Nodes	Cost
0	81	897
1	166	612
2	425	466
3	1476	463
done	5000	460

prune165.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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

rewrite218.0ms

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:

25.0ms	(- (/ 2.0 3.0) z)
30.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
25.0ms	(* (- y x) 6.0)
116.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series217.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 2.0 3.0) z)
98.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
41.0ms	(* (- y x) 6.0)
50.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.3s

Counts

316 → 316

Iterations

Useful iterations: done (2.3s)

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

prune763.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

18.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series936.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (cbrt x) (cbrt x))
228.0ms	(cbrt x)
214.0ms	(cbrt x)
220.0ms	(cbrt x)

simplify4.8s

Counts

93 → 93

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune434.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes258.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	18
1	14	18
done	14	18

end0.0ms

sample1.4s

Algorithm

intervals

Results

659.0ms	9504×	body	80	valid
71.0ms	203×	body	320	valid
53.0ms	251×	body	640	valid
50.0ms	104×	body	160	valid
33.0ms	128×	body	1280	valid