Details

sample40.0ms

Algorithm

intervals

Results

15.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify6.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4327
8	1259
7	477
6	204
5	93
4	40
3	29
2	19
1	12
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+r-` `sum-log` `flip3-+` `add-cbrt-cube` `div-sub` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

19.0ms

(+ x (/ (- x y) 2.0))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(+ x (/ (- x y) 2.0))

simplify2.7s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
4	4313
3	869
2	269
1	98
0	36

prune200.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x 2.0) x)
0.0b	(- (+ (/ x 2.0) x) (/ y 2.0))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
52×	`prod-diff`
51×	`add-cube-cbrt`
46×	`times-frac`
16×	`distribute-lft-out`
13×	`fma-def`
9×	`add-log-exp`
5×	`div-inv`
4×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `sum-log` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `flip-+` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

2 → 105

Calls

2 calls:

30.0ms	(+ (/ x 2.0) x)
190.0ms	(- (+ (/ x 2.0) x) (/ y 2.0))

series103.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (/ x 2.0) x)
66.0ms	(- (+ (/ x 2.0) x) (/ y 2.0))

simplify2.0s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1881
1	478
0	186

prune369.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1.5 x (* (- 0.5) y))

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 1.5 x (* (- 0.5) y))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(fma 1.5 x (* (- 0.5) y))

simplify2.0s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	829
3	188
2	50
1	26
0	19

prune72.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify7.0ms

Iterations

Iter	Nodes
done	15
3	15
2	14
1	10
0	7

end0.0ms

sample773.0ms

Algorithm

intervals

Results

366.0ms	7322×	body	80	valid
36.0ms	235×	body	1280	valid
25.0ms	123×	body	2560	valid
20.0ms	160×	body	640	valid
11.0ms	111×	body	320	valid
4.0ms	50×	body	160	valid