Details

sample36.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify27.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

26.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite78.0ms

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

46.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
18.0ms	(/ 1 (- x 1))
8.0ms	(/ x (+ x 1))

series144.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

93.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
26.0ms	(/ 1 (- x 1))
25.0ms	(/ x (+ x 1))

simplify4.6s

Counts

138 → 145

Calls

138 calls:

Slowest

445.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
342.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
268.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
238.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
226.0ms	(- (+ x (pow x 3)) (pow x 2))

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize52.0ms

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)))

rewrite114.0ms

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

55.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
25.0ms	(/ 1 (- x 1))
17.0ms	(/ 1 (- x 1))
10.0ms	(/ 1 (- x 1))

series148.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
30.0ms	(/ 1 (- x 1))
25.0ms	(/ 1 (- x 1))
15.0ms	(/ 1 (- x 1))

simplify6.9s

Counts

221 → 216

Calls

221 calls:

Slowest

412.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
353.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
309.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
300.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
245.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))

prune2.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (fma x x -1))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (- x 1))
0.0b	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
51×	`times-frac`
36×	`add-cube-cbrt`
17×	`associate-/r*`
16×	`add-exp-log` `difference-of-squares`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`difference-of-sqr-1` `distribute-lft-out--`
7×	`pow1`
6×	`div-exp`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `pow-flip` `inv-pow`
2×	`flip3--` `flip--`
1×	`fma-udef`

Counts

4 → 149

Calls

4 calls:

Slowest

14.0ms	(/ 1 (- x 1))
9.0ms	(/ 1 (- x 1))
4.0ms	(/ 1 (fma x x -1))
0.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
39.0ms	(/ 1 (fma x x -1))
19.0ms	(/ 1 (- x 1))
15.0ms	(/ 1 (- x 1))

simplify5.8s

Counts

153 → 161

Calls

153 calls:

Slowest

386.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
353.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
344.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
285.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
260.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune2.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample755.0ms

Algorithm

intervals

Results

642.0ms

8000×

body

valid