Details

sample40.0ms

Algorithm

intervals

Results

14.0ms	256×	pre	80	true
13.0ms	256×	body	80	valid

simplify130.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	149
7	149
6	145
5	129
4	105
3	65
2	27
1	11
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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:

29.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify1.6s

Counts

46 → 46

Iterations

Iter	Nodes
3	4091
2	883
1	226
0	65

prune342.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-l`
7×	`pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
6×	`associate-r`
5×	`add-log-exp`
4×	`frac-add`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def`

Counts

3 → 68

Calls

3 calls:

13.0ms	(+ (* (+ a b) a) (* (+ a b) b))
30.0ms	(* (+ a b) a)
30.0ms	(* (+ a b) b)

series116.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* (+ a b) a) (* (+ a b) b))
32.0ms	(* (+ a b) a)
40.0ms	(* (+ a b) b)

simplify3.9s

Counts

77 → 77

Iterations

Iter	Nodes
3	6137
2	1234
1	329
0	115

prune587.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

0.0ms	(fma (+ a b) a (* (+ a b) b))
30.0ms	(* (+ a b) b)

series90.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma (+ a b) a (* (+ a b) b))
32.0ms	(* (+ a b) b)

simplify5.2s

Counts

41 → 41

Iterations

Iter	Nodes
4	7162
3	1552
2	450
1	142
0	62

prune271.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b	(* b (+ b (* a 2)))

rewrite15.0ms

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×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

14.0ms

(* b (+ b (* a 2)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* b (+ b (* a 2)))

simplify7.1s

Counts

28 → 28

Iterations

Iter	Nodes
4	9693
3	1901
2	469
1	146
0	50

prune214.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample920.0ms

Algorithm

intervals

Results

364.0ms	8000×	pre	80	true
352.0ms	8000×	body	80	valid