Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify12.0ms

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

localize18.0ms

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)))

rewrite103.0ms

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:

16.0ms	(/ x (+ x 1))
18.0ms	(/ 1 (- x 1))
62.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ x (+ x 1))
16.0ms	(/ 1 (- x 1))
79.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.4s

Counts

145 → 145

Iterations

Iter	Nodes
done	2020
3	2020
2	1356
1	401
0	176

prune472.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite407.0ms

Algorithm

rewrite-expression-head

Rules

365×	`*-un-lft-identity`
167×	`times-frac`
100×	`distribute-lft-out`
81×	`fma-def`
79×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
35×	`distribute-lft-out--`
27×	`swap-sqr`
18×	`difference-of-squares`
14×	`div-inv`
11×	`pow1` `flip3-+` `frac-add` `flip-+`
10×	`add-log-exp`
9×	`frac-times` `difference-of-sqr-1` `associate-r` `associate-l`
6×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`+-commutative` `sum-log` `flip3--` `associate-l/` `associate-r/` `flip--`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 225

Calls

4 calls:

230.0ms	(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
62.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
41.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
69.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
101.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
82.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
68.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.2s

Counts

237 → 237

Iterations

Iter	Nodes
done	2018
3	2018
2	1733
1	414
0	112

prune728.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample931.0ms

Algorithm

intervals

Results

778.0ms

8000×

body

valid