Details

sample33.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
41×	`times-frac`
40×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`difference-of-squares`
7×	`add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`pow1` `difference-of-sqr-1` `associate-/r/`
3×	`div-exp` `insert-posit16` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `rec-exp` `sum-log` `flip3--` `1-exp` `frac-add` `pow-flip` `flip--` `inv-pow`

Counts

3 → 103

Calls

3 calls:

Slowest

57.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
17.0ms	(/ 1 (- x 1))
8.0ms	(/ x (+ x 1))

series124.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

67.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
36.0ms	(/ x (+ x 1))
22.0ms	(/ 1 (- x 1))

simplify3.7s

Counts

113 → 112

Calls

113 calls:

Slowest

296.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
294.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
250.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
241.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
239.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune858.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
88×	`add-sqr-sqrt`
71×	`times-frac`
40×	`add-cube-cbrt`
24×	`difference-of-squares`
21×	`associate-/r*`
16×	`add-exp-log`
14×	`distribute-lft-out--`
12×	`difference-of-sqr-1`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`distribute-lft-out`
7×	`pow1`
6×	`div-exp` `associate-/r/` `add-log-exp`
4×	`insert-posit16` `div-inv`
3×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `pow-flip` `flip--` `inv-pow`
1×	`+-commutative` `sum-log` `flip3-+` `frac-add` `flip-+`

Counts

4 → 169

Calls

4 calls:

Slowest

58.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
9.0ms	(/ 1 (- x 1))
9.0ms	(/ 1 (- x 1))
9.0ms	(/ 1 (- x 1))

series152.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
24.0ms	(/ 1 (- x 1))
19.0ms	(/ 1 (- x 1))
15.0ms	(/ 1 (- x 1))

simplify5.6s

Counts

196 → 181

Calls

196 calls:

Slowest

338.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
285.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
253.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
253.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
233.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune1.8s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

14.1b	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
0.4b	(/ 1 (- (* x x) (* 1 1)))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (- x 1))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
68×	`times-frac`
46×	`add-cube-cbrt`
25×	`add-exp-log`
23×	`difference-of-squares`
18×	`associate-/r` `associate-l*`
15×	`add-cbrt-cube`
9×	`pow1` `associate-/l*`
8×	`difference-of-sqr-1` `div-exp` `associate-/r/` `distribute-lft-out--`
4×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `associate-r` `prod-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-flip` `inv-pow` `unswap-sqr`
2×	`frac-times` `flip3-+` `associate-*r/` `cbrt-unprod` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out`

Counts

4 → 186

Calls

4 calls:

Slowest

56.0ms	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
25.0ms	(/ 1 (- (* x x) (* 1 1)))
18.0ms	(/ 1 (- x 1))
17.0ms	(/ 1 (- x 1))

series117.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

38.0ms	(/ 1 (- (* x x) (* 1 1)))
38.0ms	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
25.0ms	(/ 1 (- x 1))
15.0ms	(/ 1 (- x 1))

simplify12.4s

Counts

204 → 198

Calls

204 calls:

Slowest

1.2s	(* (* (* (/ 1 (- (* x x) (* 1 1))) (/ 1 (- (* x x) (* 1 1)))) (/ 1 (- (* x x) (* 1 1)))) (* (* (+ x 1) (+ x 1)) (+ x 1)))
937.0ms	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
483.0ms	(/ (* (* 1 1) 1) (* (* (- (* x x) (* 1 1)) (- (* x x) (* 1 1))) (- (* x x) (* 1 1))))
412.0ms	(/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* x x) (* 1 1))))
410.0ms	(* (- (* x x) (* 1 1)) (- x 1))

prune2.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample952.0ms

Algorithm

intervals

Results

826.0ms

8000×

body

valid