Details

sample66.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify117.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

116.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `distribute-frac-neg` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 96

Calls

1 calls:

Slowest

29.0ms

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

series88.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

88.0ms

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

simplify3.3s

Counts

144 → 99

Calls

144 calls:

Slowest

200.0ms	(- (+ (pow f 3) (pow n 3)))
181.0ms	(- (- (* f f) (* n n)))
159.0ms	(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
101.0ms	(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
72.0ms	(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune765.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- f n) (+ f n))
0.0b	(/ -1 (/ (- f n) (+ f n)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 170

Calls

2 calls:

Slowest

36.0ms	(/ (- f n) (+ f n))
23.0ms	(/ -1 (/ (- f n) (+ f n)))

series211.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

121.0ms	(/ -1 (/ (- f n) (+ f n)))
90.0ms	(/ (- f n) (+ f n))

simplify13.3s

Counts

249 → 176

Calls

249 calls:

Slowest

546.0ms	(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
321.0ms	(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
306.0ms	(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
293.0ms	(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
251.0ms	(/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ f (+ f n)) (/ n (+ f n)))
0.0b	(/ f (+ f n))
0.0b	(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
0.0b	(/ n (+ f n))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

190×	`*-un-lft-identity`
155×	`times-frac`
114×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
35×	`distribute-lft-out--`
28×	`associate-/r/` `distribute-lft-out`
25×	`associate-/r*`
20×	`difference-of-squares`
15×	`distribute-rgt-out--`
13×	`div-inv`
12×	`flip3-+` `flip-+`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1` `insert-posit16`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`flip3--` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 185

Calls

4 calls:

Slowest

55.0ms	(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
45.0ms	(- (/ f (+ f n)) (/ n (+ f n)))
19.0ms	(/ f (+ f n))
15.0ms	(/ n (+ f n))

series375.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(- (/ f (+ f n)) (/ n (+ f n)))
115.0ms	(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
68.0ms	(/ n (+ f n))
66.0ms	(/ f (+ f n))

simplify9.3s

Counts

239 → 197

Calls

239 calls:

Slowest

527.0ms	(- (* f (+ f n)) (* (+ f n) n))
395.0ms	(/ 1 (/ 1 (sqrt (+ f n))))
354.0ms	(/ (* (* n n) n) (* (* (+ f n) (+ f n)) (+ f n)))
348.0ms	(/ -1 (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))))
343.0ms	(- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch1.0ms

end0.0ms

sample696.0ms

Algorithm

intervals

Results

548.0ms

8000×

body

valid