Details

sample36.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	14
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
62×	`times-frac`
35×	`add-cube-cbrt`
27×	`fma-def`
14×	`difference-of-squares`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log` `distribute-lft-out--`
7×	`add-cbrt-cube` `difference-of-sqr-1`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `frac-add` `pow-flip` `inv-pow`

Counts

3 → 136

Calls

3 calls:

15.0ms	(/ x (+ x 1))
17.0ms	(/ 1 (- x 1))
71.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ x (+ x 1))
14.0ms	(/ 1 (- x 1))
69.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.6s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1356
1	401
0	176

prune389.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

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))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
7×	`pow1` `associate-/r*`
6×	`flip3-+` `flip-+` `associate-/l*` `add-log-exp`
5×	`div-exp` `frac-add` `distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `associate-r` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `rec-exp` `associate-+l+` `clear-num` `frac-2neg` `distribute-lft-in` `1-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 137

Calls

4 calls:

8.0ms	(/ x (+ x 1))
29.0ms	(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
7.0ms	(/ 1 (fma x x -1))
18.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

series288.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ x (+ x 1))
156.0ms	(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
61.0ms	(/ 1 (fma x x -1))
41.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

simplify2.2s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	2434
1	736
0	231

prune574.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

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))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

5.0ms	(/ 1 (fma x x -1))
24.0ms	(* (/ 1 (fma x x -1)) (+ x 1))
37.0ms	(* (/ 1 (fma x x -1)) (+ x 1))
31.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

series146.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ 1 (fma x x -1))
34.0ms	(* (/ 1 (fma x x -1)) (+ x 1))
34.0ms	(* (/ 1 (fma x x -1)) (+ x 1))
36.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

simplify3.4s

Counts

181 → 181

Iterations

Iter	Nodes
done	5000
3	4657
2	1461
1	420
0	133

prune806.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.1s

8000×

body

valid