Details

sample42.0ms

Algorithm

intervals

Results

31.0ms

256×

body

valid

simplify9.0ms

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

localize19.0ms

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)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
41×	`times-frac`
40×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`difference-of-squares`
7×	`add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`pow1` `difference-of-sqr-1` `associate-/r/`
3×	`div-exp` `insert-posit16` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `rec-exp` `sum-log` `flip3--` `1-exp` `frac-add` `pow-flip` `flip--` `inv-pow`

Counts

3 → 103

Calls

3 calls:

15.0ms	(/ x (+ x 1))
21.0ms	(/ 1 (- x 1))
47.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ x (+ x 1))
21.0ms	(/ 1 (- x 1))
78.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.2s

Counts

112 → 112

Iterations

Iter	Nodes
done	5003
2	1276
1	386
0	170

prune325.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
38×	`add-sqr-sqrt` `times-frac`
31×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-l`
13×	`add-cbrt-cube`
8×	`associate-/r*` `flip3-+` `flip-+`
7×	`pow1` `difference-of-sqr--1`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp` `frac-add` `distribute-lft-out`
4×	`frac-times` `associate-r` `prod-exp` `associate-*r/` `insert-posit16`
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/` `cbrt-unprod`
1×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 139

Calls

4 calls:

11.0ms	(/ x (+ x 1))
26.0ms	(+ (* (/ 1 (+ (* x x) -1)) (+ x 1)) (/ x (+ x 1)))
22.0ms	(/ 1 (+ (* x x) -1))
75.0ms	(* (/ 1 (+ (* x x) -1)) (+ x 1))

series210.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ x (+ x 1))
112.0ms	(+ (* (/ 1 (+ (* x x) -1)) (+ x 1)) (/ x (+ x 1)))
32.0ms	(/ 1 (+ (* x x) -1))
29.0ms	(* (/ 1 (+ (* x x) -1)) (+ x 1))

simplify2.0s

Counts

151 → 151

Iterations

Iter	Nodes
done	5036
2	3007
1	832
0	245

prune435.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
54×	`times-frac` `associate-l`
49×	`*-un-lft-identity`
40×	`add-cube-cbrt`
35×	`add-exp-log`
21×	`add-cbrt-cube`
13×	`difference-of-sqr--1`
12×	`associate-r` `prod-exp`
11×	`pow1`
10×	`flip3-+` `flip-+`
9×	`unswap-sqr`
8×	`div-exp` `associate-/r/`
6×	`frac-times` `associate-*r/` `cbrt-unprod`
4×	`cbrt-undiv` `rec-exp` `associate-/r*` `1-exp` `insert-posit16` `div-inv` `add-log-exp`
3×	`distribute-rgt-in` `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 → 182

Calls

4 calls:

13.0ms	(/ 1 (+ (* x x) -1))
38.0ms	(* (/ 1 (+ (* x x) -1)) (+ x 1))
44.0ms	(* (/ 1 (+ (* x x) -1)) (+ x 1))
38.0ms	(* (/ 1 (+ (* x x) -1)) (+ x 1))

series124.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1 (+ (* x x) -1))
31.0ms	(* (/ 1 (+ (* x x) -1)) (+ x 1))
34.0ms	(* (/ 1 (+ (* x x) -1)) (+ x 1))
27.0ms	(* (/ 1 (+ (* x x) -1)) (+ x 1))

simplify1.3s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	1818
1	537
0	152

prune907.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample703.0ms

Algorithm

intervals

Results

586.0ms

8000×

body

valid