Details

sample36.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify33.0ms

Counts: 1 → 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	(/ x (+ x 1))
0.0b	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

rewrite113.0ms

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

58.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
36.0ms	(/ 1 (- x 1))
16.0ms	(/ x (+ x 1))

series163.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

96.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
43.0ms	(/ x (+ x 1))
24.0ms	(/ 1 (- x 1))

simplify449.0ms

Counts: 148 → 112

prune823.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

13.8b	(* (/ 1 (- (* x x) 1)) (+ x 1))
0.4b	(/ 1 (- (* x x) 1))
0.0b	(/ x (+ x 1))
0.0b	(- (* x x) 1)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
50×	`add-sqr-sqrt` `times-frac`
35×	`add-cube-cbrt`
24×	`associate-l`
19×	`add-exp-log`
16×	`difference-of-squares`
13×	`add-cbrt-cube`
10×	`associate-/r*`
8×	`difference-of-sqr-1`
7×	`pow1`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp` `distribute-lft-out`
4×	`associate-r` `prod-exp` `insert-posit16`
3×	`cbrt-undiv` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--` `unswap-sqr`
2×	`frac-times` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*r/` `cbrt-unprod`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 150

Calls

4 calls:

Slowest

40.0ms	(* (/ 1 (- (* x x) 1)) (+ x 1))
26.0ms	(/ 1 (- (* x x) 1))
9.0ms	(/ x (+ x 1))
7.0ms	(- (* x x) 1)

series141.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(- (* x x) 1)
30.0ms	(/ 1 (- (* x x) 1))
29.0ms	(* (/ 1 (- (* x x) 1)) (+ x 1))
22.0ms	(/ x (+ x 1))

simplify845.0ms

Counts: 204 → 162

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

14.3b	(/ (+ x 1) (+ (* x x) -1))
3.1b	(log (exp (/ (+ x 1) (+ (* x x) -1))))
0.0b	(/ x (+ x 1))
0.0b	(+ (* x x) -1)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
44×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`log-pow`
22×	`exp-prod`
13×	`distribute-lft-out`
10×	`difference-of-sqr--1`
8×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3-+` `flip-+`
4×	`insert-posit16`
3×	`log-prod` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-/l/`
1×	`+-commutative` `sum-log` `rem-log-exp`

Counts

4 → 123

Calls

4 calls:

Slowest

41.0ms	(log (exp (/ (+ x 1) (+ (* x x) -1))))
20.0ms	(/ (+ x 1) (+ (* x x) -1))
15.0ms	(/ x (+ x 1))
12.0ms	(+ (* x x) -1)

series181.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(+ (* x x) -1)
43.0ms	(/ (+ x 1) (+ (* x x) -1))
40.0ms	(/ x (+ x 1))
31.0ms	(log (exp (/ (+ x 1) (+ (* x x) -1))))

simplify423.0ms

Counts: 169 → 135

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample806.0ms

Algorithm

intervals

Results

698.0ms

8000×

body

valid