Details

Time bar (total: 2.9m)

sample84.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify53.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
52.0ms
(/ (- (+ f n)) (- f n))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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
Counts
1 → 98
Calls
1 calls:
Slowest
21.0ms
(/ (- (+ f n)) (- f n))

series130.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
130.0ms
(/ (- (+ f n)) (- f n))

simplify3.7s

Counts
144 → 101
Calls
144 calls:
Slowest
339.0ms
(- (- (* f f) (* n n)))
228.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
223.0ms
(- (+ (pow f 3) (pow n 3)))
99.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
82.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune770.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 174
Calls
2 calls:
Slowest
30.0ms
(/ (- f n) (+ f n))
14.0ms
(/ -1 (/ (- f n) (+ f n)))

series193.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
104.0ms
(/ (- f n) (+ f n))
89.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify13.8s

Counts
249 → 180
Calls
249 calls:
Slowest
540.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
323.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
308.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
289.0ms
(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
284.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
10×add-cbrt-cube add-exp-log
9×associate-/l*
6×add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×cbrt-undiv clear-num frac-2neg div-exp
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log
Counts
4 → 535
Calls
4 calls:
Slowest
84.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
73.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
15.0ms
(/ n (+ f n))
10.0ms
(/ f (+ f n))

series369.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
135.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
116.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
76.0ms
(/ n (+ f n))
42.0ms
(/ f (+ f n))

simplify2.4m

Counts
903 → 547
Calls
903 calls:
Slowest
786.0ms
(fma (- (/ (cbrt n) (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))
670.0ms
(fma (- (/ (cbrt n) (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))
669.0ms
(fma (- (+ (* f f) (- (* n n) (* f n)))) (/ n (+ (pow f 3) (pow n 3))) (* (+ (* f f) (- (* n n) (* f n))) (/ n (+ (pow f 3) (pow n 3)))))
637.0ms
(fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ n (cbrt (+ f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))))
610.0ms
(fma (/ 1 1) (/ f (+ f n)) (- (* (/ n (cbrt (+ f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))))

prune4.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample775.0ms

Algorithm
intervals
Results
623.0ms8000×body80valid