Details

sample34.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
11.0ms	256×	body	80	valid

simplify122.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	167
7	167
6	153
5	131
4	105
3	65
2	27
1	11
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-l/` `associate-r/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 43

Calls

1 calls:

33.0ms

(* (+ a b) (+ a b))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* (+ a b) (+ a b))

simplify941.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	2001
3	2001
2	835
1	232
0	65

prune273.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* 2 b) a (fma a a (* b b)))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 11

Calls

1 calls:

0.0ms

(fma (* 2 b) a (fma a a (* b b)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma (* 2 b) a (fma a a (* b b)))

simplify786.0ms

Counts

14 → 14

Iterations

Iter	Nodes
done	2003
5	2003
4	545
3	167
2	86
1	44
0	24

prune113.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma b 2 a) a (* b b))
0.3b	(* (* (fma (fma b 2 a) a (* b b)) (fma (fma b 2 a) a (* b b))) (fma (fma b 2 a) a (* b b)))
0.5b	(* (fma (fma b 2 a) a (* b b)) (fma (fma b 2 a) a (* b b)))
0.5b	(cbrt (* (* (fma (fma b 2 a) a (* b b)) (fma (fma b 2 a) a (* b b))) (fma (fma b 2 a) a (* b b))))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`fma-udef`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma (fma b 2 a) a (* b b))
23.0ms	(* (* (fma (fma b 2 a) a (* b b)) (fma (fma b 2 a) a (* b b))) (fma (fma b 2 a) a (* b b)))
6.0ms	(* (fma (fma b 2 a) a (* b b)) (fma (fma b 2 a) a (* b b)))
322.0ms	(cbrt (* (* (fma (fma b 2 a) a (* b b)) (fma (fma b 2 a) a (* b b))) (fma (fma b 2 a) a (* b b))))

series290.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma (fma b 2 a) a (* b b))
135.0ms	(* (* (fma (fma b 2 a) a (* b b)) (fma (fma b 2 a) a (* b b))) (fma (fma b 2 a) a (* b b)))
85.0ms	(* (fma (fma b 2 a) a (* b b)) (fma (fma b 2 a) a (* b b)))
33.0ms	(cbrt (* (* (fma (fma b 2 a) a (* b b)) (fma (fma b 2 a) a (* b b))) (fma (fma b 2 a) a (* b b))))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	2005
3	2005
2	847
1	291
0	116

prune887.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample794.0ms

Algorithm

intervals

Results

333.0ms	8000×	pre	80	true
318.0ms	8000×	body	80	valid