Details

sample54.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify153.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

153.0ms

(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize40.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))
0.1b	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
0.0b	(/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))
0.0b	(+ (+ 1.0 (+ beta alpha)) 2)

rewrite931.0ms

Algorithm

rewrite-expression-head

Rules

4332×	`*-un-lft-identity`
2696×	`times-frac`
2173×	`distribute-lft-out`
778×	`add-sqr-sqrt` `add-cube-cbrt`
166×	`associate-/l*`
102×	`associate-/r/`
53×	`flip3-+` `flip-+`
51×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
13×	`add-log-exp`
10×	`cbrt-undiv` `div-exp`
6×	`sum-log`
4×	`pow1` `insert-posit16` `associate-/l/`
3×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+l+`

Counts

4 → 1221

Calls

4 calls:

Slowest

347.0ms	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
223.0ms	(/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))
187.0ms	(/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))
65.0ms	(+ (+ 1.0 (+ beta alpha)) 2)

series538.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

200.0ms	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
178.0ms	(/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))
140.0ms	(/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))
18.0ms	(+ (+ 1.0 (+ beta alpha)) 2)

simplify8.2m

Counts

2203 → 1233

Calls

2203 calls:

Slowest

1.1s	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
1.1s	(/ (/ (sqrt (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
1.0s	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
997.0ms	(/ (/ (- 2 (+ beta alpha)) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
992.0ms	(+ (pow (+ 1.0 (+ beta alpha)) 3) (pow 2 3))

prune13.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.4b

localize33.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))
0.1b	(* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (/ 1 (+ (+ 1.0 (+ beta alpha)) 2)))
0.0b	(/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))
0.0b	(/ 1 (+ (+ 1.0 (+ beta alpha)) 2))

rewrite972.0ms

Algorithm

rewrite-expression-head

Rules

898×	`*-un-lft-identity`
551×	`times-frac`
409×	`distribute-lft-out`
230×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
136×	`associate-l`
54×	`add-exp-log`
34×	`add-cbrt-cube`
33×	`associate-/l*`
32×	`associate-/r/`
24×	`div-exp` `associate-r`
17×	`flip3-+` `flip-+`
16×	`associate-/r*` `div-inv`
14×	`cbrt-undiv`
12×	`prod-exp`
9×	`unswap-sqr`
7×	`pow1`
6×	`cbrt-unprod`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 472

Calls

4 calls:

Slowest

466.0ms	(* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (/ 1 (+ (+ 1.0 (+ beta alpha)) 2)))
223.0ms	(/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))
189.0ms	(/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))
83.0ms	(/ 1 (+ (+ 1.0 (+ beta alpha)) 2))

series561.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

201.0ms	(* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (/ 1 (+ (+ 1.0 (+ beta alpha)) 2)))
198.0ms	(/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))
115.0ms	(/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))
47.0ms	(/ 1 (+ (+ 1.0 (+ beta alpha)) 2))