Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	14
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite171.0ms

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:

22.0ms	(/ x (+ x 1))
23.0ms	(/ 1 (- x 1))
117.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ x (+ x 1))
24.0ms	(/ 1 (- x 1))
106.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.5s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1356
1	401
0	176

prune483.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite388.0ms

Algorithm

rewrite-expression-head

Rules

351×	`add-sqr-sqrt`
345×	`add-exp-log`
343×	`*-un-lft-identity`
327×	`times-frac`
168×	`prod-exp`
155×	`add-cube-cbrt`
134×	`div-exp`
106×	`swap-sqr`
99×	`associate-r`
81×	`pow1` `add-cbrt-cube`
73×	`associate-l`
66×	`difference-of-squares`
65×	`rec-exp` `1-exp`
39×	`difference-of-sqr-1` `distribute-lft-out--`
37×	`pow-prod-up` `pow-flip` `inv-pow`
30×	`cbrt-unprod`
26×	`associate-/r/`
25×	`cbrt-undiv` `unswap-sqr`
18×	`distribute-lft-out`
17×	`div-inv`
14×	`pow-prod-down`
13×	`pow-sqr`
9×	`frac-times` `pow-plus` `flip3--` `associate-*l/` `flip--`
6×	`associate-*r/`
5×	`pow2` `un-div-inv`
4×	`expm1-log1p-u` `flip3-+` `*-commutative` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow3`

Counts

4 → 550

Calls

4 calls:

55.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
144.0ms	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
68.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
82.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
26.0ms	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
20.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
28.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify2.4s

Counts

562 → 562

Iterations

Iter	Nodes
done	5001
2	3641
1	1396
0	460

prune1.8s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite484.0ms

Algorithm

rewrite-expression-head

Rules

923×	`times-frac`
876×	`add-sqr-sqrt`
751×	`*-un-lft-identity`
324×	`add-cube-cbrt`
240×	`associate-l`
236×	`difference-of-squares`
130×	`add-exp-log`
121×	`difference-of-sqr-1` `distribute-lft-out--`
72×	`associate-r`
65×	`swap-sqr`
60×	`div-exp`
54×	`add-cbrt-cube`
52×	`associate-/r/`
40×	`prod-exp`
39×	`pow1`
32×	`div-inv`
28×	`unswap-sqr`
27×	`associate-/l*`
22×	`flip3--` `flip--`
20×	`cbrt-undiv`
18×	`rec-exp` `1-exp` `distribute-lft-out`
14×	`cbrt-unprod`
13×	`pow-flip` `inv-pow`
10×	`pow-prod-up`
7×	`associate-/r*`
6×	`pow-div`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `flip3-+` `pow-sqr` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`frac-times` `associate-l/` `associate-r/` `*-commutative`
2×	`pow2` `pow-plus` `un-div-inv`
1×	`clear-num` `frac-2neg` `pow3` `associate-/l/`

Counts

4 → 774

Calls

4 calls:

68.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
45.0ms	(/ (/ 1 (- x 1)) (- x 1))
241.0ms	(* (/ (/ 1 (- x 1)) (- x 1)) (/ 1 (- x 1)))
63.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
22.0ms	(/ (/ 1 (- x 1)) (- x 1))
30.0ms	(* (/ (/ 1 (- x 1)) (- x 1)) (/ 1 (- x 1)))
27.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify2.4s

Counts

786 → 786

Iterations

Iter	Nodes
done	5002
1	2612
0	735

prune2.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	15

end0.0ms

sample933.0ms

Algorithm

intervals

Results

805.0ms

8000×

body

valid