Details

Time bar (total: 1.2m)

sample152.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify73.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
72.0ms
(/ (- (+ f n)) (- f n))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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))

series85.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
85.0ms
(/ (- (+ f n)) (- f n))

simplify3.8s

Counts
144 → 101
Calls
144 calls:
Slowest
376.0ms
(- (- (* f f) (* n n)))
191.0ms
(- (+ (pow f 3) (pow n 3)))
183.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
100.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
74.0ms
(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune781.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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
19.0ms
(/ -1 (/ (- f n) (+ f n)))
19.0ms
(/ (- f n) (+ f n))

series193.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
103.0ms
(/ -1 (/ (- f n) (+ f n)))
90.0ms
(/ (- f n) (+ f n))

simplify15.1s

Counts
249 → 180
Calls
249 calls:
Slowest
567.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
432.0ms
(/ (- (sqrt f) (sqrt n)) (+ f n))
314.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
287.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
277.0ms
(/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
421×*-un-lft-identity
301×add-sqr-sqrt
205×add-cube-cbrt
78×associate-/r*
60×distribute-lft-out
48×distribute-lft-out-- difference-of-squares
27×associate-/r/
19×add-cbrt-cube add-exp-log
15×div-inv
12×flip3-+ flip-+
9×cbrt-undiv div-exp associate-/l*
7×cbrt-div
5×frac-times associate-*l/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*r/
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 395
Calls
4 calls:
Slowest
125.0ms
(cbrt (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))))
26.0ms
(/ -1 (/ (- f n) (+ f n)))
26.0ms
(/ -1 (/ (- f n) (+ f n)))
25.0ms
(/ -1 (/ (- f n) (+ f n)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
176.0ms
(cbrt (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))))
106.0ms
(/ -1 (/ (- f n) (+ f n)))
104.0ms
(/ -1 (/ (- f n) (+ f n)))
96.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify43.4s

Counts
587 → 407
Calls
587 calls:
Slowest
600.0ms
(cbrt (* (* (/ -1 (/ (- f n) (+ f n))) -1) -1))
554.0ms
(cbrt (* (* -1 (/ -1 (/ (- f n) (+ f n)))) -1))
528.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
522.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
507.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))

prune3.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample766.0ms

Algorithm
intervals
Results
606.0ms8000×body80valid