Details

sample36.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify23.0ms

Calls

1 calls:

Slowest

23.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

169×	`*-un-lft-identity`
133×	`associate-/r*`
130×	`frac-add`
126×	`add-sqr-sqrt`
75×	`associate-/l*`
70×	`add-cube-cbrt`
41×	`times-frac`
28×	`difference-of-squares`
25×	`clear-num` `frac-2neg` `distribute-lft-out`
16×	`distribute-lft-out--`
14×	`difference-of-sqr-1`
9×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`add-log-exp`
4×	`pow1` `associate-/r/`
3×	`div-exp` `insert-posit16` `div-inv`
2×	`cbrt-undiv` `flip3-+` `flip-+`
1×	`+-commutative` `rec-exp` `sum-log` `flip3--` `1-exp` `pow-flip` `flip--` `inv-pow`

Calls

3 calls:

Slowest

65.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
18.0ms	(/ x (+ x 1))
16.0ms	(/ 1 (- x 1))

series122.0ms

Calls

3 calls:

Slowest

63.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
35.0ms	(/ x (+ x 1))
24.0ms	(/ 1 (- x 1))

simplify59.7s

Calls

371 calls:

Slowest

929.0ms	(* (- x 1) (- (+ x 1)))
641.0ms	(* (- (sqrt x) 1) (- (+ x 1)))
631.0ms	(* (- (sqrt x) 1) (- (+ x 1)))
613.0ms	(+ (* 1 (cbrt (+ x 1))) (* (/ (- x 1) 1) (/ x (* (cbrt (+ x 1)) (cbrt (+ x 1))))))
607.0ms	(* (/ (- x 1) 1) (- (+ x 1)))

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

14.1b	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
0.3b	(/ 1 (- (* x x) (* 1 1)))
0.0b	(+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (/ x (+ x 1)))
0.0b	(/ x (+ x 1))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

3808×	`add-sqr-sqrt`
3220×	`*-un-lft-identity`
2798×	`associate-/r*`
1970×	`frac-add`
1800×	`difference-of-squares`
1430×	`frac-times`
1203×	`unswap-sqr`
920×	`swap-sqr`
728×	`flip3-+` `flip-+`
715×	`associate-*l/`
696×	`associate-/l*`
645×	`*-commutative`
601×	`add-cube-cbrt`
456×	`distribute-lft-out--`
455×	`associate-l`
404×	`times-frac`
232×	`clear-num` `frac-2neg` `distribute-lft-out`
44×	`associate-r`
22×	`associate-*r/`
19×	`add-exp-log`
13×	`add-cbrt-cube`
7×	`pow1`
6×	`associate-/r/` `add-log-exp`
5×	`+-commutative` `div-exp`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `prod-exp` `insert-posit16` `div-inv`
3×	`cbrt-undiv`
2×	`rec-exp` `flip3--` `1-exp` `cbrt-unprod` `flip--`
1×	`sum-log` `pow-prod-down` `pow-flip` `inv-pow`

Calls

4 calls:

Slowest

625.0ms	(+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (/ x (+ x 1)))
117.0ms	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
56.0ms	(/ 1 (- (* x x) (* 1 1)))
14.0ms	(/ x (+ x 1))

series256.0ms

Calls

4 calls:

Slowest

132.0ms	(+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (/ x (+ x 1)))
47.0ms	(/ 1 (- (* x x) (* 1 1)))
44.0ms	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
33.0ms	(/ x (+ x 1))