Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `flip--`
1×	`+-commutative` `sum-log` `frac-add`

Counts

3 → 114

Calls

3 calls:

14.0ms	(/ x (+ x 1.0))
98.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
15.0ms	(/ 1.0 (- x 1.0))

series217.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ x (+ x 1.0))
136.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
45.0ms	(/ 1.0 (- x 1.0))

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1736
1	431
0	175

prune534.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.0b	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.0b	(/ 1.0 (- x 1.0))
0.1b	(/ 1 (/ (+ x 1.0) x))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

142×	`times-frac`
139×	`*-un-lft-identity`
95×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
24×	`associate-/r*`
21×	`fma-def`
20×	`distribute-lft-out`
19×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp` `div-inv`
8×	`distribute-lft-out--`
7×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv` `associate-/r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `flip3-+` `flip3--` `1-exp` `flip-+` `flip--` `associate-/l/`
1×	`+-commutative` `sum-log` `frac-add` `pow-flip` `inv-pow`

Counts

4 → 203

Calls

4 calls:

17.0ms	(/ (+ x 1.0) x)
125.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
15.0ms	(/ 1.0 (- x 1.0))
23.0ms	(/ 1 (/ (+ x 1.0) x))

series343.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (+ x 1.0) x)
168.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
49.0ms	(/ 1.0 (- x 1.0))
47.0ms	(/ 1 (/ (+ x 1.0) x))

simplify1.8s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
2	3879
1	721
0	276

prune846.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.1b	(/ 1 (/ (+ x 1.0) x))
0.6b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.5b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

121×	`times-frac`
97×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
22×	`add-exp-log`
20×	`associate-/r*`
18×	`associate-l`
16×	`add-cbrt-cube`
13×	`distribute-lft-out`
9×	`div-exp`
7×	`pow1` `div-inv` `difference-of-squares`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `flip3-+` `frac-add` `associate-/r/` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `associate-*r/` `log1p-expm1-u`
2×	`distribute-rgt-in` `rec-exp` `associate-+l+` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `1-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 192

Calls

4 calls:

38.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ 1 (/ (+ x 1.0) x)))
19.0ms	(/ 1 (/ (+ x 1.0) x))
18.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
56.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series407.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ 1 (/ (+ x 1.0) x)))
38.0ms	(/ 1 (/ (+ x 1.0) x))
57.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
53.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify1.3s

Counts

204 → 204

Iterations

Iter	Nodes
done	5000
1	1134
0	345

prune775.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample549.0ms

Algorithm

intervals

Results

404.0ms

8000×

body

valid