Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
38×	`times-frac`
35×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `fma-def`
9×	`distribute-lft-out--`
7×	`distribute-lft-out` `difference-of-squares`
5×	`associate-/r*`
4×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `frac-add` `clear-num` `sum-log` `flip-+`

Counts

2 → 79

Calls

2 calls:

6.0ms	(/ 1.0 (- x 1.0))
48.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1.0 (- x 1.0))
121.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify634.0ms

Counts

85 → 85

Iterations

Useful iterations: done (632.0ms)

Iter	Nodes	Cost
0	125	805
1	307	753
2	1067	713
done	5000	709

prune160.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ (- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))) (- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
0.0b	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

310×	`*-un-lft-identity`
263×	`times-frac`
224×	`add-sqr-sqrt`
108×	`add-cube-cbrt`
57×	`distribute-lft-out--`
51×	`swap-sqr`
49×	`difference-of-squares`
39×	`associate-r` `associate-l`
32×	`add-exp-log` `add-cbrt-cube`
28×	`distribute-lft-out`
21×	`associate-/r/`
18×	`pow1`
17×	`associate-/r*`
11×	`associate-/l/`
10×	`cbrt-undiv` `div-exp` `frac-sub` `div-inv`
8×	`frac-times` `associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
7×	`flip3--` `flip--` `associate-/l*`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `frac-2neg` `pow-plus` `pow-prod-down` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`div-sub`

Counts

4 → 321

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
101.0ms	(/ (- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))) (- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
31.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
35.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (- x 1.0))
296.0ms	(/ (- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))) (- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
46.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
38.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify467.0ms

Counts

333 → 333

Iterations

Useful iterations: done (455.0ms)

Iter	Nodes	Cost
0	443	8757
1	1357	7904
done	5000	7282

prune632.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	12	35
done	12	35

end0.0ms

sample268.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid