Details

sample103.0ms

Algorithm

intervals

Results

62.0ms	708×	body	80	nan
24.0ms	256×	body	80	valid

simplify49.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
0.0b	(sqrt (- 1 (* x x)))
0.0b	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
26×	`times-frac`
21×	`add-sqr-sqrt`
16×	`distribute-lft-out`
15×	`log-prod`
13×	`add-cube-cbrt`
12×	`div-inv`
11×	`sqrt-prod`
6×	`distribute-rgt-out`
5×	`pow1` `add-log-exp`
4×	`add-exp-log`
3×	`log-div` `add-cbrt-cube` `insert-posit16`
2×	`flip3-+` `sqrt-div` `frac-add` `distribute-rgt1-in` `flip-+` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3--` `pow1/2` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 71

Calls

3 calls:

Slowest

18.0ms	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
16.0ms	(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
4.0ms	(sqrt (- 1 (* x x)))

series443.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

256.0ms	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
119.0ms	(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
68.0ms	(sqrt (- 1 (* x x)))

simplify1.4s

Counts: 80 → 80

prune648.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`sqrt-prod`
16×	`sqrt-div`
10×	`pow1` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
6×	`add-cbrt-cube` `add-exp-log` `div-inv` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`frac-times` `sqrt-pow1` `flip3--` `pow1/2` `insert-posit16` `flip--` `distribute-lft-out` `difference-of-squares` `unswap-sqr`
3×	`distribute-rgt-out` `pow-prod-down`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `times-frac` `sqrt-unprod` `frac-add` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

Slowest

40.0ms	(* (sqrt (+ 1 x)) (sqrt (- 1 x)))
10.0ms	(+ (/ 1 x) (/ (* (sqrt (+ 1 x)) (sqrt (- 1 x))) x))
7.0ms	(sqrt (+ 1 x))
5.0ms	(sqrt (- 1 x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(+ (/ 1 x) (/ (* (sqrt (+ 1 x)) (sqrt (- 1 x))) x))
75.0ms	(* (sqrt (+ 1 x)) (sqrt (- 1 x)))
37.0ms	(sqrt (- 1 x))
24.0ms	(sqrt (+ 1 x))

simplify1.2s

Counts: 110 → 110

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (+ 1 x)) (sqrt (- 1 x)))
0.0b	(* (sqrt (+ 1 x)) (sqrt (- 1 x)))
0.0b	(sqrt (- 1 x))
0.0b	(sqrt (- 1 x))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`sqrt-prod`
30×	`*-un-lft-identity`
28×	`sqrt-div`
18×	`associate-r`
14×	`pow1` `associate-l` `add-cube-cbrt`
8×	`frac-times` `flip3--` `add-cbrt-cube` `add-exp-log` `flip--` `difference-of-squares` `unswap-sqr`
6×	`sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `flip-+`
4×	`associate-l/` `associate-r/` `insert-posit16` `distribute-lft-out--` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out`

Counts

4 → 124

Calls

4 calls:

Slowest

42.0ms	(* (sqrt (+ 1 x)) (sqrt (- 1 x)))
31.0ms	(* (sqrt (+ 1 x)) (sqrt (- 1 x)))
7.0ms	(sqrt (- 1 x))
5.0ms	(sqrt (- 1 x))

series256.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(* (sqrt (+ 1 x)) (sqrt (- 1 x)))
85.0ms	(* (sqrt (+ 1 x)) (sqrt (- 1 x)))
40.0ms	(sqrt (- 1 x))
31.0ms	(sqrt (- 1 x))

simplify1.4s

Counts: 136 → 136

prune1.8s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.2s	24358×	body	80	nan
1.4s	8000×	body	80	valid