Details

Time bar (total: 4.9m)

sample116.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify66.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
65.0ms
(/ (- (+ f n)) (- f n))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize429.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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
22.0ms
(/ (- (+ f n)) (- f n))

series102.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
102.0ms
(/ (- (+ f n)) (- f n))

simplify3.6s

Counts
144 → 101
Calls
144 calls:
Slowest
308.0ms
(- (- (* f f) (* n n)))
204.0ms
(- (+ (pow f 3) (pow n 3)))
183.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
120.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
71.0ms
(/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))

prune802.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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
38.0ms
(/ (- f n) (+ f n))
17.0ms
(/ -1 (/ (- f n) (+ f n)))

series191.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
103.0ms
(/ -1 (/ (- f n) (+ f n)))
87.0ms
(/ (- f n) (+ f n))

simplify13.3s

Counts
249 → 180
Calls
249 calls:
Slowest
524.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
285.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
275.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
273.0ms
(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
265.0ms
(/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
44×div-inv
31×add-exp-log
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube div-exp
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 524
Calls
3 calls:
Slowest
27.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))
17.0ms
(/ 1 (+ f n))
15.0ms
(/ -1 (- f n))

series192.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
96.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))
51.0ms
(/ 1 (+ f n))
46.0ms
(/ -1 (- f n))

simplify1.9m

Counts
892 → 533
Calls
892 calls:
Slowest
662.0ms
(/ (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ 1 (+ f n)))
647.0ms
(/ -1 (/ 1 (- (* f f) (* n n))))
609.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (- (* f f) (* n n))))
603.0ms
(/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
572.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ f n))))

prune4.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

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
60.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
50.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
16.0ms
(/ n (+ f n))
16.0ms
(/ f (+ f n))

series383.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
127.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
121.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
74.0ms
(/ n (+ f n))
61.0ms
(/ f (+ f n))

simplify2.4m

Counts
903 → 547
Calls
903 calls:
Slowest
753.0ms
(fma (- (/ (cbrt n) (cbrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))))
730.0ms
(fma (- (/ (cbrt n) (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))
730.0ms
(fma (- (/ (cbrt n) (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))
569.0ms
(fma (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (- (* (/ n (cbrt (+ f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))))
560.0ms
(fma 1 (/ f (+ f n)) (- (* (/ n (cbrt (+ f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))))

prune4.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample794.0ms

Algorithm
intervals
Results
663.0ms8000×body80valid