Details

sample87.0ms

Algorithm

intervals

Results

51.0ms	30×	body	640	valid
17.0ms	57×	body	1280	valid
9.0ms	142×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify46.0ms

Calls

1 calls:

Slowest

46.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize14.0ms

Local error

Found 3 expressions with local error:

2.2b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b	(/ (+ x 1) (- x 1))
0.0b	(/ x (+ x 1))

rewrite709.0ms

Algorithm

rewrite-expression-head

Rules

244×	`*-un-lft-identity`
160×	`frac-sub`
149×	`add-sqr-sqrt`
145×	`associate-/r*`
95×	`associate-/l*`
77×	`add-cube-cbrt`
60×	`times-frac`
46×	`distribute-lft-out`
34×	`difference-of-squares`
28×	`clear-num` `frac-2neg` `distribute-lft-out--`
22×	`associate-/l/`
15×	`difference-of-sqr-1`
12×	`flip3-+` `flip-+`
7×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `flip3--` `div-exp` `div-inv` `flip--`
1×	`sub-neg` `diff-log`

Calls

3 calls:

Slowest

667.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
25.0ms	(/ (+ x 1) (- x 1))
12.0ms	(/ x (+ x 1))

series143.0ms

Calls

3 calls:

Slowest

89.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
28.0ms	(/ (+ x 1) (- x 1))
26.0ms	(/ x (+ x 1))

simplify1.4m

Calls

460 calls:

Slowest

930.0ms	(* (+ x 1) (- (- x 1)))
742.0ms	(* (- (+ x 1)) (- x 1))
732.0ms	(* (- (+ x 1)) (- x 1))
676.0ms	(- (* (- x) (- x 1)) (* (- (+ x 1)) (+ x 1)))
644.0ms	(* (- (+ x 1)) (/ (- x 1) (+ x 1)))

prune2.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (* x (/ (- x 1) (+ x 1))) (* (+ x 1) 1))
0.0b	(/ (- (* x (/ (- x 1) (+ x 1))) (* (+ x 1) 1)) (* (+ x 1) (/ (- x 1) (+ x 1))))
0.0b	(* (+ x 1) (/ (- x 1) (+ x 1)))
0.0b	(/ (- x 1) (+ x 1))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

2322×	`add-sqr-sqrt`
1998×	`*-un-lft-identity`
1707×	`times-frac`
748×	`associate-r`
629×	`difference-of-squares`
608×	`unswap-sqr`
485×	`distribute-lft-out--`
464×	`associate-l`
390×	`add-cube-cbrt`
288×	`distribute-lft-out`
116×	`*-commutative`
109×	`associate-/l*`
103×	`difference-of-sqr-1`
99×	`associate-/r/`
96×	`associate-*r/`
95×	`flip3-+` `flip-+`
89×	`associate-/r*`
80×	`associate-*l/`
76×	`frac-sub`
64×	`frac-times`
62×	`associate-/l/`
24×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
18×	`clear-num` `un-div-inv`
13×	`flip3--` `flip--`
12×	`frac-2neg`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
2×	`div-sub`
1×	`sub-neg` `diff-log` `pow-prod-down`

Calls

4 calls:

Slowest

688.0ms	(/ (- (* x (/ (- x 1) (+ x 1))) (* (+ x 1) 1)) (* (+ x 1) (/ (- x 1) (+ x 1))))
385.0ms	(- (* x (/ (- x 1) (+ x 1))) (* (+ x 1) 1))
67.0ms	(* (+ x 1) (/ (- x 1) (+ x 1)))
36.0ms	(/ (- x 1) (+ x 1))

series342.0ms

Calls

4 calls:

Slowest

152.0ms	(/ (- (* x (/ (- x 1) (+ x 1))) (* (+ x 1) 1)) (* (+ x 1) (/ (- x 1) (+ x 1))))
110.0ms	(- (* x (/ (- x 1) (+ x 1))) (* (+ x 1) 1))
43.0ms	(* (+ x 1) (/ (- x 1) (+ x 1)))
37.0ms	(/ (- x 1) (+ x 1))