Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	214×	body	80	valid
2.0ms	17×	body	1280	valid
2.0ms	22×	body	640	valid
1.0ms	19×	body	320	valid
0.0ms	11×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	29	8
3	75	8
4	205	8
5	514	8
6	1110	8
7	2183	8
8	3789	8
done	5000	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.5b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `frac-times` `sub-neg` `add-cbrt-cube` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `associate-r/` `associate-l/` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 92

Calls

2 calls:

20.0ms	(* (- 1.0 x) (- 1.0 y))
7.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series54.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) (- 1.0 y))
26.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify736.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	171	1609
1	397	1337
2	1596	1109
done	5000	1109

prune200.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (fma x y 1.0) (* 1.0 y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `associate--l+` `add-cbrt-cube` `flip--` `fma-udef` `log1p-expm1-u`

Counts

1 → 21

Calls

1 calls:

3.0ms

(- (fma x y 1.0) (* 1.0 y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(- (fma x y 1.0) (* 1.0 y))

simplify778.0ms

Counts

24 → 24

Iterations

Useful iterations: done (777.0ms)

Iter	Nodes	Cost
0	45	300
1	106	291
2	363	260
3	1622	232
done	5000	229

prune61.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

12.0ms

(* y (- x 1.0))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* y (- x 1.0))

simplify2.2s

Counts

49 → 49

Iterations

Useful iterations: 3 (428.0ms)

Iter	Nodes	Cost
0	102	721
1	194	548
2	703	420
3	2778	360
done	5001	360

prune67.0ms

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	7
1	8	7
done	8	7

end0.0ms

sample443.0ms

Algorithm

intervals

Results

142.0ms	6977×	body	80	valid
57.0ms	818×	body	640	valid
40.0ms	427×	body	1280	valid
30.0ms	576×	body	320	valid
14.0ms	314×	body	160	valid