Details

sample57.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify87.0ms

Calls

1 calls:

Slowest

86.0ms

(/ (- (+ f n)) (- f n))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
58×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out` `associate-/l*`
6×	`neg-mul-1`
5×	`associate-/r*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `distribute-neg-frac` `associate-/l/`
1×	`neg-sub0` `expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `distribute-frac-neg` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Calls

1 calls:

Slowest

34.0ms

(/ (- (+ f n)) (- f n))

series103.0ms

Calls

1 calls:

Slowest

103.0ms

(/ (- (+ f n)) (- f n))

simplify3.8s

Calls

144 calls:

Slowest

300.0ms	(- (- (* f f) (* n n)))
238.0ms	(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
193.0ms	(- (+ (pow f 3) (pow n 3)))
120.0ms	(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
71.0ms	(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune766.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
0.0b	(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
0.0b	(/ (+ n f) (- f n))
0.0b	(/ (+ n f) (- f n))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

6314×	`frac-times`
5040×	`*-un-lft-identity`
3550×	`associate-/r*`
3419×	`cbrt-div`
3405×	`distribute-neg-frac`
3205×	`add-sqr-sqrt`
2872×	`associate-/l*`
1600×	`add-cube-cbrt`
1420×	`associate-/l/`
855×	`distribute-lft-out`
818×	`distribute-lft-out--`
782×	`difference-of-squares`
726×	`clear-num`
710×	`frac-2neg` `flip3-+` `flip-+`
451×	`associate-*r/`
445×	`times-frac`
300×	`associate-r`
255×	`cbrt-prod`
238×	`associate-*l/`
144×	`swap-sqr`
109×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
104×	`associate-l`
48×	`un-div-inv`
30×	`associate-/r/`
20×	`add-cbrt-cube` `add-exp-log`
15×	`flip3--` `div-inv` `flip--`
14×	`unswap-sqr`
11×	`pow1`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `neg-mul-1` `pow-plus` `pow1/3` `pow-prod-down` `pow-sqr` `pow-prod-up`

Calls

4 calls:

Slowest

593.0ms	(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
126.0ms	(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
25.0ms	(/ (+ n f) (- f n))
22.0ms	(/ (+ n f) (- f n))

series670.0ms

Calls

4 calls:

Slowest

380.0ms	(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
114.0ms	(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
90.0ms	(/ (+ n f) (- f n))
86.0ms	(/ (+ n f) (- f n))