Details

sample30.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify24.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

24.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
62×	`times-frac`
35×	`add-cube-cbrt`
27×	`fma-def`
14×	`difference-of-squares`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log` `distribute-lft-out--`
7×	`add-cbrt-cube` `difference-of-sqr-1`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `frac-add` `pow-flip` `inv-pow`

Counts

3 → 136

Calls

3 calls:

Slowest

59.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
17.0ms	(/ 1 (- x 1))
8.0ms	(/ x (+ x 1))

series119.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

73.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
25.0ms	(/ x (+ x 1))
22.0ms	(/ 1 (- x 1))

simplify4.5s

Counts

138 → 145

Calls

138 calls:

Slowest

406.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
334.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
320.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
232.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))
226.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

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)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
111×	`add-sqr-sqrt`
92×	`times-frac`
51×	`add-cube-cbrt`
30×	`difference-of-squares`
27×	`fma-def`
21×	`associate-/r*`
17×	`distribute-lft-out--`
16×	`add-exp-log`
15×	`difference-of-sqr-1`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`associate-/r/` `distribute-lft-out`
7×	`pow1`
6×	`div-exp` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-flip` `inv-pow`
1×	`+-commutative` `sum-log` `flip3-+` `frac-add` `flip-+`

Counts

4 → 204

Calls

4 calls:

Slowest

51.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
10.0ms	(/ 1 (- x 1))
9.0ms	(/ 1 (- x 1))
8.0ms	(/ 1 (- x 1))

series167.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
32.0ms	(/ 1 (- x 1))
25.0ms	(/ 1 (- x 1))
24.0ms	(/ 1 (- x 1))

simplify6.8s

Counts

221 → 216

Calls

221 calls:

Slowest

389.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
368.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
365.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
323.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
248.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune2.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize53.0ms

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))

rewrite63.0ms

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×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `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 → 198

Calls

4 calls:

Slowest

17.0ms	(/ 1 (- x 1))
16.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (- x 1))
13.0ms	(log (exp (/ 1 (- x 1))))

series82.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

24.0ms	(/ 1 (- x 1))
23.0ms	(/ 1 (- x 1))
20.0ms	(log (exp (/ 1 (- x 1))))
15.0ms	(/ 1 (- x 1))

simplify6.1s

Counts

213 → 210

Calls

213 calls:

Slowest

329.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
327.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
320.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
229.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
222.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune2.8s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample887.0ms

Algorithm

intervals

Results

751.0ms

8000×

body

valid