Details

sample43.0ms

Algorithm

intervals

Results

32.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 84

Calls

2 calls:

9.0ms	(/ x (+ x 1))
61.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ x (+ x 1))
68.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify953.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2029
3	2029
2	1058
1	285
0	108

prune573.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite287.0ms

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-l`
81×	`add-cbrt-cube`
76×	`pow1`
73×	`associate-r`
66×	`difference-of-squares`
65×	`rec-exp` `1-exp`
39×	`difference-of-sqr-1` `distribute-lft-out--`
37×	`pow-flip` `inv-pow`
36×	`pow-prod-up`
30×	`cbrt-unprod`
26×	`associate-/r/`
25×	`cbrt-undiv` `unswap-sqr`
18×	`distribute-lft-out`
17×	`div-inv`
14×	`pow-prod-down`
12×	`pow-sqr`
9×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`associate-*l/`
4×	`pow2` `expm1-log1p-u` `flip3-+` `pow-plus` `un-div-inv` `*-commutative` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cube-unmult`

Counts

4 → 545

Calls

4 calls:

45.0ms	(* (/ x (+ 1 x)) (/ x (+ 1 x)))
106.0ms	(* (/ 1 (- x 1)) (* (/ 1 (- x 1)) (/ 1 (- x 1))))
64.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
60.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (/ x (+ 1 x)) (/ x (+ 1 x)))
25.0ms	(* (/ 1 (- x 1)) (* (/ 1 (- x 1)) (/ 1 (- x 1))))
27.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
35.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify1.2s

Counts

557 → 557

Iterations

Iter	Nodes
done	2001
2	2001
1	1395
0	470

prune5.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

334×	`add-sqr-sqrt`
330×	`*-un-lft-identity`
311×	`times-frac`
154×	`add-exp-log`
146×	`add-cube-cbrt`
106×	`swap-sqr`
72×	`associate-r` `associate-l`
69×	`div-exp`
64×	`difference-of-squares`
58×	`add-cbrt-cube`
53×	`pow1`
52×	`prod-exp`
38×	`difference-of-sqr-1` `distribute-lft-out--`
26×	`associate-/r/`
24×	`rec-exp` `1-exp`
22×	`pow-flip` `inv-pow` `unswap-sqr`
21×	`cbrt-undiv`
18×	`distribute-lft-out`
17×	`div-inv`
16×	`cbrt-unprod`
15×	`pow-prod-up`
9×	`flip3--` `pow-sqr` `flip--`
7×	`associate-/r*` `pow-prod-down`
6×	`pow-div`
4×	`expm1-log1p-u` `frac-times` `flip3-+` `associate-l/` `associate-r/` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`pow2` `pow-plus` `un-div-inv` `*-commutative`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 457

Calls

4 calls:

28.0ms	(* (/ x (+ 1 x)) (/ x (+ 1 x)))
29.0ms	(/ (* (/ 1 (- x 1)) (/ 1 (- x 1))) (- x 1))
62.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
61.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (/ x (+ 1 x)) (/ x (+ 1 x)))
50.0ms	(/ (* (/ 1 (- x 1)) (/ 1 (- x 1))) (- x 1))
31.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
36.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify1.1s

Counts

469 → 469

Iterations

Iter	Nodes
done	2004
2	2004
1	1369
0	400

prune5.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample868.0ms

Algorithm

intervals

Results

703.0ms

8000×

body

valid