Details

sample39.0ms

Algorithm

intervals

Results

28.0ms

256×

body

valid

simplify23.0ms

Counts

1 → 1

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

localize26.0ms

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))

rewrite69.0ms

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

33.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
25.0ms	(/ 1 (- x 1))
9.0ms	(/ x (+ x 1))

series127.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

68.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
38.0ms	(/ x (+ x 1))
21.0ms	(/ 1 (- x 1))

simplify3.4s

Counts

113 → 112

Calls

113 calls:

Slowest

316.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
247.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
196.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
191.0ms	(- (+ x (pow x 3)) (pow x 2))
180.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))

prune758.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

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)))

rewrite93.0ms

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

41.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
17.0ms	(/ 1 (- x 1))
16.0ms	(/ 1 (- x 1))
16.0ms	(/ 1 (- x 1))

series135.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

76.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
25.0ms	(/ 1 (- x 1))
20.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (- x 1))

simplify5.6s

Counts

196 → 181

Calls

196 calls:

Slowest

309.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
265.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
258.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
254.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
254.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))

prune2.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

3.0b	(log (exp (/ 1 (- x 1))))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (- x 1))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
84×	`times-frac`
52×	`add-cube-cbrt`
30×	`difference-of-squares`
28×	`log-pow`
27×	`exp-prod`
21×	`associate-/r*`
16×	`add-exp-log`
15×	`difference-of-sqr-1` `distribute-lft-out--`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`pow1` `associate-/r/`
6×	`div-exp`
4×	`flip3--` `insert-posit16` `div-inv` `flip--` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `log-prod` `clear-num` `frac-2neg` `1-exp` `pow-flip` `inv-pow`
1×	`rem-log-exp`

Counts

4 → 190

Calls

4 calls:

Slowest

32.0ms	(log (exp (/ 1 (- x 1))))
17.0ms	(/ 1 (- x 1))
17.0ms	(/ 1 (- x 1))
17.0ms	(/ 1 (- x 1))

series84.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

27.0ms	(/ 1 (- x 1))
25.0ms	(/ 1 (- x 1))
18.0ms	(log (exp (/ 1 (- x 1))))
15.0ms	(/ 1 (- x 1))

simplify5.9s

Counts

213 → 202

Calls

213 calls:

Slowest

288.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
273.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
254.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
243.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
242.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune2.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample882.0ms

Algorithm

intervals

Results

742.0ms

8000×

body

valid