Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify274.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	27	7
3	65	7
4	147	7
5	243	7
6	273	7
7	290	7
8	292	7
done	292	7

prune5.0ms

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))

rewrite59.0ms

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` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

56.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify1.4s

Counts

45 → 45

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	64	532
1	232	465
2	1740	416
done	5000	406

prune132.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify442.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	22	165
1	42	165
2	131	138
3	571	135
done	5000	135

prune57.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def`

Counts

3 → 72

Calls

3 calls:

22.0ms	(+ (* a (+ b a)) (* b (+ a b)))
33.0ms	(* a (+ b a))
23.0ms	(* b (+ a b))

series99.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* a (+ b a)) (* b (+ a b)))
32.0ms	(* a (+ b a))
30.0ms	(* b (+ a b))

simplify3.0s

Counts

81 → 81

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	128	928
1	448	839
2	2852	781
done	5000	778

prune277.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

6.0ms

(* b (fma a 2 b))

series45.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* b (fma a 2 b))

simplify1.9s

Counts

25 → 25

Iterations

Useful iterations: 3 (856.0ms)

Iter	Nodes	Cost
0	41	220
1	90	217
2	374	189
3	2623	184
done	5000	184

prune73.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
done	7	9

end0.0ms

sample645.0ms

Algorithm

intervals

Results

201.0ms	8000×	body	80	valid
158.0ms	8000×	pre	80	true