Details

sample112.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
10.0ms	262×	body	80	nan

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
3	21
2	19
1	16
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`pow1` `associate-/r/` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

2 → 53

Calls

2 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
47.0ms	(/ (- 1.0 x) (+ 1.0 x))

series67.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
63.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify854.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
2	1051
1	245
0	102

prune269.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

279×	`*-un-lft-identity`
169×	`times-frac`
146×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
59×	`add-cbrt-cube` `add-exp-log`
52×	`associate-r`
49×	`distribute-lft-out`
48×	`swap-sqr`
41×	`distribute-lft-out--`
30×	`pow1`
29×	`difference-of-squares`
27×	`associate-l`
22×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
12×	`associate-/r/`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`flip3-+` `flip-+` `div-inv` `unswap-sqr`
5×	`associate-/l*`
4×	`associate-/r*` `pow-prod-down` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`pow3` `*-commutative` `associate-/l/`
1×	`cbrt-prod` `clear-num` `frac-2neg` `flip3--` `pow1/3` `div-sub` `rem-cbrt-cube` `flip--`

Counts

4 → 266

Calls

4 calls:

17.0ms	(/ (- 1.0 x) (+ 1.0 x))
170.0ms	(* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x)))
91.0ms	(cbrt (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))))
95.0ms	(* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (- 1.0 x) (+ 1.0 x))
92.0ms	(* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x)))
52.0ms	(cbrt (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))))
82.0ms	(* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)))

simplify1.3s

Counts

278 → 278

Iterations

Iter	Nodes
done	5001
1	942
0	260

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

676.0ms	8000×	body	80	valid
510.0ms	8212×	body	80	nan