Details

Time bar (total: 39.7s)

sample80.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify35.0ms

Calls
1 calls:
Slowest
35.0ms
(/ (- (+ f n)) (- f n))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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
Calls
1 calls:
Slowest
23.0ms
(/ (- (+ f n)) (- f n))

series97.0ms

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

simplify3.8s

Calls
144 calls:
Slowest
309.0ms
(- (- (* f f) (* n n)))
216.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
209.0ms
(- (+ (pow f 3) (pow n 3)))
110.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
73.0ms
(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune781.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×associate-/r* add-cbrt-cube add-exp-log
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg expm1-log1p-u log-prod flip3-- div-sub insert-posit16 log1p-expm1-u div-inv flip--
2×log-div exp-diff distribute-neg-frac associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp rem-log-exp log-rec flip-+ rem-exp-log
Calls
3 calls:
Slowest
62.0ms
(log (exp (/ (- (+ f n)) (- f n))))
37.0ms
(/ (- (+ f n)) (- f n))
34.0ms
(exp (/ (- (+ f n)) (- f n)))

series308.0ms

Calls
3 calls:
Slowest
115.0ms
(exp (/ (- (+ f n)) (- f n)))
103.0ms
(/ (- (+ f n)) (- f n))
90.0ms
(log (exp (/ (- (+ f n)) (- f n))))

simplify8.4s

Calls
291 calls:
Slowest
261.0ms
(exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
249.0ms
(- (- (* f f) (* n n)))
223.0ms
(exp (/ (- (+ f n)) (- (* f f) (* n n))))
205.0ms
(- (+ (pow f 3) (pow n 3)))
203.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))

prune2.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
157×*-un-lft-identity
120×times-frac
113×add-sqr-sqrt
66×exp-prod
63×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
6×add-cbrt-cube add-exp-log
5×expm1-log1p-u associate-/r* add-log-exp
4×pow1 associate-/r/ insert-posit16 log1p-expm1-u
2×neg-sub0 flip3-- div-sub distribute-frac-neg div-inv flip-- distribute-neg-frac associate-/l/
1×exp-neg cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ exp-diff div-exp log1p-expm1 flip-+ expm1-udef rem-exp-log
Calls
4 calls:
Slowest
31.0ms
(exp (/ (- (+ f n)) (- f n)))
20.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(log1p (exp (/ (- (+ f n)) (- f n))))
0.0ms
(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))

series1.1s

Calls
4 calls:
Slowest
678.0ms
(log1p (exp (/ (- (+ f n)) (- f n))))
237.0ms
(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))
99.0ms
(exp (/ (- (+ f n)) (- f n)))
91.0ms
(/ (- (+ f n)) (- f n))

simplify7.3s

Calls
223 calls:
Slowest
512.0ms
(exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
303.0ms
(- (- (* f f) (* n n)))
252.0ms
(exp (/ (- (+ f n)) (- (* f f) (* n n))))
243.0ms
(- (+ (pow f 3) (pow n 3)))
177.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))

prune2.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
159×*-un-lft-identity
120×times-frac
115×add-sqr-sqrt
66×pow-unpow
65×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
8×add-exp-log
7×log-prod
6×unpow-prod-down
5×associate-/r* add-cbrt-cube
4×pow1 rem-log-exp pow-exp distribute-frac-neg associate-/r/
3×neg-sub0 expm1-log1p-u pow-neg div-sub insert-posit16 log1p-expm1-u add-log-exp
2×pow-to-exp log-div e-exp-1 flip3-- div-inv flip-- distribute-neg-frac pow-sub sqr-pow associate-/l/
1×cbrt-undiv clear-num pow-pow frac-2neg flip3-+ div-exp log-rec log-pow flip-+
Calls
3 calls:
Slowest
45.0ms
(/ (- (+ f n)) (- f n))
12.0ms
(pow E (/ (- (+ f n)) (- f n)))
6.0ms
(log (pow E (/ (- (+ f n)) (- f n))))

series395.0ms

Calls
3 calls:
Slowest
170.0ms
(pow E (/ (- (+ f n)) (- f n)))
117.0ms
(log (pow E (/ (- (+ f n)) (- f n))))
107.0ms
(/ (- (+ f n)) (- f n))

simplify9.0s

Calls
237 calls:
Slowest
533.0ms
(log (pow E (/ (/ (- (+ f n)) (- f n)) 2)))
420.0ms
(log (pow (* (cbrt E) (cbrt E)) (/ (- (+ f n)) (- f n))))
349.0ms
(log (pow (sqrt E) (/ (- (+ f n)) (- f n))))
343.0ms
(- (- (* f f) (* n n)))
289.0ms
(log (sqrt (pow E (/ (- (+ f n)) (- f n)))))

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample755.0ms

Algorithm
intervals
Results
605.0ms8000×body80valid