Details

Time bar (total: 2.3m)

sample292.0ms

Algorithm
intervals
Results
35.0ms256×body80valid

simplify55.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
54.0ms
(/ (- (+ f n)) (- f n))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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
40.0ms
(/ (- (+ f n)) (- f n))

series121.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
121.0ms
(/ (- (+ f n)) (- f n))

simplify4.0s

Counts
144 → 101
Calls
144 calls:
Slowest
324.0ms
(- (- (* f f) (* n n)))
250.0ms
(- (+ (pow f 3) (pow n 3)))
225.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
97.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
76.0ms
(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune787.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
120×times-frac
111×add-sqr-sqrt
66×exp-prod
61×add-cube-cbrt
44×distribute-lft-neg-in distribute-rgt-neg-in
25×distribute-lft-out-- difference-of-squares
22×distribute-lft-out
12×associate-/l*
11×neg-mul-1
5×associate-/r*
4×add-cbrt-cube add-exp-log associate-/r/
3×add-log-exp
2×neg-sub0 expm1-log1p-u pow1 flip3-- div-sub distribute-frac-neg insert-posit16 log1p-expm1-u div-inv flip-- distribute-neg-frac associate-/l/
1×exp-neg cbrt-undiv clear-num frac-2neg flip3-+ exp-diff div-exp flip-+ rem-exp-log
Counts
2 → 177
Calls
2 calls:
Slowest
48.0ms
(/ (- (+ f n)) (- f n))
39.0ms
(exp (/ (- (+ f n)) (- f n)))

series266.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
147.0ms
(exp (/ (- (+ f n)) (- f n)))
118.0ms
(/ (- (+ f n)) (- f n))

simplify6.6s

Counts
215 → 183
Calls
215 calls:
Slowest
277.0ms
(exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
263.0ms
(- (- (* f f) (* n n)))
251.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
233.0ms
(- (+ (pow f 3) (pow n 3)))
232.0ms
(exp (/ (- (+ f n)) (- (* f f) (* n n))))

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
156×*-un-lft-identity
120×times-frac
112×add-sqr-sqrt
66×pow-unpow
62×add-cube-cbrt
44×distribute-lft-neg-in distribute-rgt-neg-in
25×distribute-lft-out-- difference-of-squares
22×distribute-lft-out
12×associate-/l*
11×neg-mul-1
5×associate-/r* add-exp-log
4×add-cbrt-cube associate-/r/
3×pow1 unpow-prod-down
2×neg-sub0 expm1-log1p-u flip3-- div-sub pow-exp distribute-frac-neg insert-posit16 log1p-expm1-u div-inv flip-- distribute-neg-frac add-log-exp associate-/l/
1×pow-to-exp cbrt-undiv e-exp-1 pow-neg clear-num pow-pow frac-2neg flip3-+ div-exp flip-+ pow-sub sqr-pow
Counts
2 → 184
Calls
2 calls:
Slowest
45.0ms
(/ (- (+ f n)) (- f n))
18.0ms
(pow E (/ (- (+ f n)) (- f n)))

series261.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
165.0ms
(pow E (/ (- (+ f n)) (- f n)))
96.0ms
(/ (- (+ f n)) (- f n))

simplify6.9s

Counts
220 → 190
Calls
220 calls:
Slowest
308.0ms
(- (- (* f f) (* n n)))
297.0ms
(* (log E) (/ (- (+ f n)) (- f n)))
265.0ms
(pow (* (cbrt E) (cbrt E)) (/ (- (+ f n)) (- f n)))
244.0ms
(pow (sqrt E) (/ (- (+ f n)) (- f n)))
226.0ms
(* 1 (/ (- (+ f n)) (- f n)))

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(exp (/ (- (+ f n)) (- f n)))

rewrite448.0ms

Algorithm
rewrite-expression-head
Rules
1864×*-un-lft-identity
1088×times-frac
1022×exp-prod
964×sqrt-pow1
706×add-sqr-sqrt
412×distribute-rgt-neg-in
362×add-cube-cbrt
348×distribute-lft-neg-in
300×distribute-lft-out--
262×distribute-lft-out
189×pow-prod-down
166×difference-of-squares
151×pow-prod-up
149×pow-sqr
87×neg-mul-1
24×associate-/l*
19×pow1
18×associate-/r/ sqrt-prod
12×sqrt-div
10×associate-/r* add-cbrt-cube add-exp-log
9×neg-sub0 flip3-- div-sub distribute-frac-neg div-inv flip--
8×pow1/2 swap-sqr
7×exp-neg exp-diff
6×associate-*r* associate-*l*
5×add-log-exp
4×expm1-log1p-u frac-times insert-posit16 log1p-expm1-u distribute-neg-frac unswap-sqr associate-/l/
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp associate-*l/ associate-*r/ flip-+
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod rem-exp-log
Counts
4 → 813
Calls
4 calls:
Slowest
324.0ms
(* (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))))
36.0ms
(exp (/ (- (+ f n)) (- f n)))
23.0ms
(/ (- (+ f n)) (- f n))
22.0ms
(/ (- (+ f n)) (- f n))

series463.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
131.0ms
(exp (/ (- (+ f n)) (- f n)))
122.0ms
(* (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))))
115.0ms
(/ (- (+ f n)) (- f n))
95.0ms
(/ (- (+ f n)) (- f n))

simplify1.8m

Counts
1390 → 825
Calls
1390 calls:
Slowest
708.0ms
(* 2 (/ (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) 2))
665.0ms
(* 2 (/ (/ (- (+ f n)) (- f n)) 2))
630.0ms
(* (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)))
623.0ms
(* 2 (/ (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) 2))
618.0ms
(+ (/ (/ (- (+ f n)) (- f n)) 2) (/ (/ (- (+ f n)) (- f n)) 2))

prune8.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample768.0ms

Algorithm
intervals
Results
552.0ms8000×body80valid