Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
10.0ms	256×	pre	80	true

simplify116.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

28.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify954.0ms

Counts

46 → 46

Iterations

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

prune131.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a a) a)
0.3b	(* (fma b (- b a) (* a a)) (- a b))
0.4b	(* (fma (* b b) b (* (* a a) a)) (- (* a a) (* b b)))
0.4b	(/ (* (fma (* b b) b (* (* a a) a)) (- (* a a) (* b b))) (* (fma b (- b a) (* a a)) (- a b)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`prod-diff`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `flip3--` `div-exp` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`pow2` `associate-/r/` `pow-sqr` `difference-of-squares` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `pow3` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 136

Calls

4 calls:

20.0ms	(* (* a a) a)
23.0ms	(* (fma b (- b a) (* a a)) (- a b))
32.0ms	(* (fma (* b b) b (* (* a a) a)) (- (* a a) (* b b)))
42.0ms	(/ (* (fma (* b b) b (* (* a a) a)) (- (* a a) (* b b))) (* (fma b (- b a) (* a a)) (- a b)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* a a) a)
76.0ms	(* (fma b (- b a) (* a a)) (- a b))
137.0ms	(* (fma (* b b) b (* (* a a) a)) (- (* a a) (* b b)))
115.0ms	(/ (* (fma (* b b) b (* (* a a) a)) (- (* a a) (* b b))) (* (fma b (- b a) (* a a)) (- a b)))

simplify1.0s

Counts

148 → 148

Iterations

Iter	Nodes
done	2004
2	2004
1	652
0	240

prune582.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify1.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	2000
5	2000
4	963
3	250
2	74
1	32
0	21

prune73.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample824.0ms

Algorithm

intervals

Results

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