Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	307×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	6×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	50	12
3	140	12
4	351	12
5	899	12
6	2164	12
7	4758	12
done	5000	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

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))

rewrite113.0ms

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:

14.0ms	(- (/ 2.0 3.0) z)
17.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms	(* (- y x) 6.0)
48.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series165.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
61.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
38.0ms	(* (- y x) 6.0)
43.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.9s

Counts

316 → 316

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	400	7667
1	985	6190
2	4101	5293
done	5000	5263

prune638.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)

rewrite14.0ms

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:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series759.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt x) (cbrt x))
192.0ms	(cbrt x)
183.0ms	(cbrt x)
182.0ms	(cbrt x)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (302.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune272.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series737.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt x)
181.0ms	(cbrt x)
181.0ms	(cbrt x)
188.0ms	(cbrt x)

simplify2.3s

Counts

64 → 64

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	88	244
3	203	232
4	612	232
5	3258	232
done	5001	232

prune244.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.4b	(fma (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))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

12.0ms	(* (- y x) 6.0)
10.0ms	(* (- y x) 6.0)
0.0ms	(fma (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)) (* (- y x) 6.0) x)
3.0ms	(/ 2.0 (cbrt 3.0))

series191.0ms

Counts

4 → 10

Calls

4 calls:

32.0ms	(* (- y x) 6.0)
29.0ms	(* (- y x) 6.0)
130.0ms	(fma (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))

simplify1.4s

Counts

109 → 109

Iterations

Useful iterations: 3 (335.0ms)

Iter	Nodes	Cost
0	146	1130
1	276	1094
2	862	989
3	3074	956
done	5001	956

prune377.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	16	19
done	16	19

end0.0ms

sample554.0ms

Algorithm

intervals

Results

268.0ms	9355×	body	80	valid
31.0ms	279×	body	640	valid
21.0ms	165×	body	1280	valid
16.0ms	212×	body	320	valid
6.0ms	113×	body	160	valid