Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

22.0ms	(/ 1.0 (- x 1.0))
26.0ms	(/ x (+ x 1.0))
89.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ 1.0 (- x 1.0))
62.0ms	(/ x (+ x 1.0))
189.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify2.1s

Counts

96 → 96

Iterations

Useful iterations: 3 (881.0ms)

Iter	Nodes	Cost
0	169	1135
1	378	1064
2	927	998
3	1984	996
done	5000	996

prune260.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
0.1b	(pow (/ x (+ x 1.0)) 3)
0.2b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
0.2b	(pow (/ 1.0 (- x 1.0)) 3)

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
142×	`times-frac`
140×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod`
31×	`distribute-lft-out--`
27×	`swap-sqr`
22×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
21×	`associate-r` `associate-l`
16×	`associate-/r/`
13×	`pow1`
8×	`div-inv` `distribute-lft-out`
7×	`flip3--` `flip--`
6×	`cbrt-undiv` `pow-unpow` `div-exp` `add-log-exp`
4×	`pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `flip3-+` `unpow3` `flip-+` `sqr-pow`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub`

Counts

4 → 237

Calls

4 calls:

90.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
23.0ms	(pow (/ x (+ x 1.0)) 3)
70.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
28.0ms	(pow (/ 1.0 (- x 1.0)) 3)

series289.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
66.0ms	(pow (/ x (+ x 1.0)) 3)
47.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
72.0ms	(pow (/ 1.0 (- x 1.0)) 3)

simplify3.0s

Counts

249 → 249

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	346	4106
1	1103	3602
2	4604	3115
done	5001	3115

prune759.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	19	45
done	19	45

end0.0ms

sample419.0ms

Algorithm

intervals

Results

247.0ms

8000×

body

valid