Details

sample31.0ms

Algorithm

intervals

Results

14.0ms	241×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify361.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	299
6	299
5	297
4	260
3	147
2	53
1	20
0	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2 y (fma 3 x z))
0.1b	(fma 3 x z)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma 2 y (fma 3 x z))
0.0ms	(fma 3 x z)

series69.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(fma 2 y (fma 3 x z))
40.0ms	(fma 3 x z)

simplify2.9s

Counts

28 → 28

Iterations

Iter	Nodes
done	5004
4	2065
3	402
2	106
1	45
0	32

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ x y) y) x)
0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
38×	`distribute-lft-out`
37×	`add-log-exp`
24×	`sum-log`
16×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

3 → 78

Calls

3 calls:

22.0ms	(+ (+ x y) y)
144.0ms	(+ (+ (+ x y) y) x)
2.0s	(+ (+ (+ (+ (+ x y) y) x) z) x)

series107.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (+ x y) y)
37.0ms	(+ (+ (+ x y) y) x)
40.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5005
2	1056
1	255
0	97

prune327.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))

rewrite22.0ms

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:

16.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))
2.0ms	(cbrt (fma 3 x z))

series979.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
248.0ms	(cbrt (fma 3 x z))
216.0ms	(cbrt (fma 3 x z))
252.0ms	(cbrt (fma 3 x z))

simplify2.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
4	4828
3	1490
2	554
1	227
0	103

prune603.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))

series1.0s

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt (fma 3 x z))
230.0ms	(cbrt (fma 3 x z))
284.0ms	(cbrt (fma 3 x z))
266.0ms	(cbrt (fma 3 x z))

simplify2.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
5	4294
4	1522
3	557
2	216
1	98
0	49

prune516.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample852.0ms

Algorithm

intervals

Results

555.0ms	7449×	body	80	valid
44.0ms	175×	body	1280	valid
31.0ms	158×	body	640	valid
18.0ms	118×	body	320	valid
12.0ms	38×	body	2560	valid
6.0ms	70×	body	160	valid