Details

Time bar (total: 16.0s)

sample65.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify97.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
97.0ms
(/ (- (+ f n)) (- f n))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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
29.0ms
(/ (- (+ f n)) (- f n))

series92.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
92.0ms
(/ (- (+ f n)) (- f n))

simplify3.9s

Counts
144 → 101
Calls
144 calls:
Slowest
312.0ms
(- (- (* f f) (* n n)))
263.0ms
(- (+ (pow f 3) (pow n 3)))
236.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
102.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
83.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune783.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.5b
(expm1 (/ (- (+ f n)) (- f n)))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(log1p (expm1 (/ (- (+ f n)) (- f n))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt times-frac
34×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* add-cbrt-cube add-exp-log
4×log1p-expm1-u
3×expm1-log1p-u pow1 insert-posit16 add-log-exp
2×associate-/r/ distribute-neg-frac associate-/l/
1×neg-sub0 cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ flip3-- div-sub div-exp log1p-expm1 distribute-frac-neg flip-+ div-inv flip-- expm1-udef
Counts
3 → 122
Calls
3 calls:
Slowest
42.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))
1.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))

series375.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
150.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
140.0ms
(expm1 (/ (- (+ f n)) (- f n)))
86.0ms
(/ (- (+ f n)) (- f n))

simplify3.8s

Counts
152 → 131
Calls
152 calls:
Slowest
342.0ms
(- (- (* f f) (* n n)))
286.0ms
(- (+ (pow f 3) (pow n 3)))
192.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
112.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
70.0ms
(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ f n))
0.5b
(cbrt (+ f n))
0.5b
(cbrt (+ f n))
0.5b
(cbrt (- f n))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×cbrt-div add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 69
Calls
4 calls:
Slowest
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))

series733.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
209.0ms
(cbrt (- f n))
205.0ms
(cbrt (+ f n))
171.0ms
(cbrt (+ f n))
148.0ms
(cbrt (+ f n))

simplify2.7s

Counts
37 → 81
Calls
37 calls:
Slowest
577.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
401.0ms
(- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))))
174.0ms
(- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2))))
165.0ms
(- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2))))
151.0ms
(- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2))))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample755.0ms

Algorithm
intervals
Results
626.0ms8000×body80valid