Details

sample20.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
20×	`times-frac`
12×	`distribute-lft-out`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `div-inv` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `frac-add`

Counts

2 → 53

Calls

2 calls:

8.0ms	(/ x (+ x 1))
64.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ x (+ x 1))
90.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify792.0ms

Counts

59 → 59

Iterations

Iter	Nodes
3	2750
2	758
1	254
0	104

prune422.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

1109×	`times-frac`
1027×	`add-sqr-sqrt`
839×	`*-un-lft-identity`
360×	`add-cube-cbrt`
310×	`difference-of-squares`
213×	`associate-r`
155×	`difference-of-sqr-1` `distribute-lft-out--`
128×	`add-exp-log`
76×	`add-cbrt-cube`
59×	`div-exp`
56×	`associate-/r/`
54×	`associate-/l*`
39×	`pow1`
38×	`prod-exp`
32×	`div-inv`
28×	`cbrt-undiv` `associate-l`
27×	`flip3--` `flip--`
24×	`cbrt-unprod`
17×	`unswap-sqr`
14×	`associate-/r*`
11×	`rec-exp` `1-exp`
10×	`pow-prod-up`
8×	`pow-div`
6×	`frac-times` `pow-plus` `associate-*l/` `pow-flip` `inv-pow`
4×	`pow-prod-down` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`pow2` `clear-num` `frac-2neg` `pow-sqr` `*-commutative` `associate-/l/`
1×	`flip3-+` `cube-unmult` `pow3` `flip-+`

Counts

4 → 839

Calls

4 calls:

18.0ms	(/ (/ 1 (- x 1)) (- x 1))
17.0ms	(/ (/ 1 (- x 1)) (- x 1))
60.0ms	(* (/ 1 (- x 1)) (/ (/ 1 (- x 1)) (- x 1)))
79.0ms	(* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (/ 1 (- x 1)) (- x 1))
19.0ms	(/ (/ 1 (- x 1)) (- x 1))
32.0ms	(* (/ 1 (- x 1)) (/ (/ 1 (- x 1)) (- x 1)))
36.0ms	(* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1)))

simplify23.9s

Counts

851 → 851

Iterations

Iter	Nodes
2	4886
1	1988
0	614

prune10.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
2	21
1	21
0	15

end0.0ms

sample834.0ms

Algorithm

intervals

Results

701.0ms

8000×

body

valid