Details

sample34.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(/ 1 (- x 1))
0.0b	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

189×	`*-un-lft-identity`
149×	`add-sqr-sqrt`
133×	`associate-/r*`
130×	`frac-add`
81×	`add-cube-cbrt`
75×	`associate-/l*`
62×	`times-frac`
34×	`difference-of-squares`
27×	`fma-def`
25×	`clear-num` `frac-2neg` `distribute-lft-out`
19×	`distribute-lft-out--`
17×	`difference-of-sqr-1`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r/`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `pow-flip` `inv-pow`

Counts

3 → 265

Calls

3 calls:

18.0ms	(/ x (+ x 1))
13.0ms	(/ 1 (- x 1))
87.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ x (+ x 1))
24.0ms	(/ 1 (- x 1))
78.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify2.2s

Counts

274 → 274

Iterations

Iter	Nodes
done	5000
2	4038
1	1501
0	450

prune595.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
0.3b	(/ 1 (fma x x -1))
15.9b	(* (/ 1 (fma x x -1)) (+ x 1))

rewrite422.0ms

Algorithm

rewrite-expression-head

Rules

290×	`frac-add`
248×	`*-un-lft-identity`
222×	`associate-/r*`
198×	`frac-times`
192×	`associate-/l*`
176×	`add-sqr-sqrt`
162×	`add-cube-cbrt`
112×	`flip3-+` `flip-+`
99×	`associate-*l/`
64×	`clear-num` `frac-2neg`
47×	`times-frac`
41×	`distribute-lft-out`
30×	`associate-l`
25×	`fma-def`
22×	`associate-*r/`
19×	`add-exp-log`
13×	`add-cbrt-cube`
8×	`associate-r`
7×	`pow1`
6×	`add-log-exp` `unswap-sqr`
5×	`+-commutative` `div-exp` `div-inv`
4×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv`
2×	`rec-exp` `1-exp` `associate-/r/` `*-commutative` `cbrt-unprod`
1×	`sum-log` `pow-prod-down` `pow-flip` `inv-pow`

Counts

4 → 479

Calls

4 calls:

22.0ms	(/ x (+ x 1))
290.0ms	(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
14.0ms	(/ 1 (fma x x -1))
57.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

series265.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ x (+ x 1))
137.0ms	(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
60.0ms	(/ 1 (fma x x -1))
45.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

simplify3.3s

Counts

491 → 491

Iterations

Iter	Nodes
done	5000
1	3853
0	956

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (fma x x -1))
15.9b	(* (/ 1 (fma x x -1)) (+ x 1))
15.9b	(* (/ 1 (fma x x -1)) (+ x 1))
15.9b	(* (/ 1 (fma x x -1)) (+ x 1))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
54×	`frac-times` `add-cube-cbrt`
42×	`times-frac`
39×	`associate-l`
35×	`add-exp-log`
30×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
27×	`associate-*l/`
21×	`add-cbrt-cube`
12×	`associate-r` `prod-exp`
11×	`pow1`
10×	`clear-num` `frac-2neg`
9×	`unswap-sqr`
8×	`div-exp`
6×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*r/` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `distribute-lft-out`
1×	`pow-flip` `inv-pow`

Counts

4 → 247

Calls

4 calls:

5.0ms	(/ 1 (fma x x -1))
32.0ms	(* (/ 1 (fma x x -1)) (+ x 1))
65.0ms	(* (/ 1 (fma x x -1)) (+ x 1))
64.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

series191.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ 1 (fma x x -1))
58.0ms	(* (/ 1 (fma x x -1)) (+ x 1))
40.0ms	(* (/ 1 (fma x x -1)) (+ x 1))
30.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

simplify2.2s

Counts

259 → 259

Iterations

Iter	Nodes
done	5000
2	2084
1	606
0	162

prune981.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample875.0ms

Algorithm

intervals

Results

712.0ms

8000×

body

valid