Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify202.0ms

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	104	7
5	134	7
6	154	7
7	171	7
8	173	7
done	173	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite76.0ms

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-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
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:

74.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify3.5s

Counts

45 → 45

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	64	532
1	195	462
2	790	416
3	3636	380
done	5000	380

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

16.0ms	(+ (* (+ a b) a) (* (+ a b) b))
41.0ms	(* (+ a b) b)

series73.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (+ a b) a) (* (+ a b) b))
42.0ms	(* (+ a b) b)

simplify1.5s

Counts

48 → 48

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	92	679
1	280	558
2	1096	496
done	5000	470

prune117.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
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:

20.0ms

(* b (fma a 2 b))

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(* b (fma a 2 b))

simplify5.1s

Counts

25 → 25

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	41	220
1	82	214
2	198	184
3	577	184
4	3207	184
done	5001	184

prune65.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample627.0ms

Algorithm

intervals

Results

219.0ms	8000×	body	80	valid
196.0ms	8000×	pre	80	true