Details

Time bar (total: 1.3m)

sample112.0ms

Algorithm
intervals
Results
51.0ms256×body80valid

simplify40.0ms

Calls
1 calls:
Slowest
39.0ms
(/ (- (+ f n)) (- f n))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

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
55.0ms
(/ (- (+ f n)) (- f n))

series142.0ms

Calls
1 calls:
Slowest
142.0ms
(/ (- (+ f n)) (- f n))

simplify3.9s

Calls
144 calls:
Slowest
276.0ms
(- (- (* f f) (* n n)))
255.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
215.0ms
(- (+ (pow f 3) (pow n 3)))
84.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
74.0ms
(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune753.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite184.0ms

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
63.0ms
(log (exp (/ (- (+ f n)) (- f n))))
62.0ms
(exp (/ (- (+ f n)) (- f n)))
48.0ms
(/ (- (+ f n)) (- f n))

series321.0ms

Calls
3 calls:
Slowest
121.0ms
(log (exp (/ (- (+ f n)) (- f n))))
112.0ms
(exp (/ (- (+ f n)) (- f n)))
88.0ms
(/ (- (+ f n)) (- f n))

simplify8.7s

Calls
291 calls:
Slowest
312.0ms
(- (- (* f f) (* n n)))
280.0ms
(exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
258.0ms
(exp (/ (- (+ f n)) (- (* f f) (* n n))))
208.0ms
(- (+ (pow f 3) (pow n 3)))
187.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))

prune2.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
314×*-un-lft-identity
240×times-frac
226×add-sqr-sqrt
138×log-pow
134×sqrt-pow1
132×exp-prod
126×add-cube-cbrt
88×distribute-lft-neg-in distribute-rgt-neg-in
50×distribute-lft-out-- difference-of-squares
44×distribute-lft-out
24×associate-/l*
22×neg-mul-1
12×log-prod
10×associate-/r* add-exp-log
8×pow1 add-cbrt-cube associate-/r/
6×sqrt-prod
4×neg-sub0 expm1-log1p-u log-div flip3-- sqrt-div div-sub distribute-frac-neg insert-posit16 log1p-expm1-u div-inv flip-- distribute-neg-frac add-log-exp associate-/l/
2×exp-neg cbrt-undiv clear-num frac-2neg flip3-+ pow1/2 exp-diff div-exp rem-log-exp flip-+
Calls
4 calls:
Slowest
69.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
65.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
42.0ms
(/ (- (+ f n)) (- f n))
23.0ms
(/ (- (+ f n)) (- f n))

series549.0ms

Calls
4 calls:
Slowest
199.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
188.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
87.0ms
(/ (- (+ f n)) (- f n))
75.0ms
(/ (- (+ f n)) (- f n))

simplify17.9s

Calls
446 calls:
Slowest
525.0ms
(/ (/ (- (+ f n)) (sqrt (- f n))) 2)
364.0ms
(- (- (* f f) (* n n)))
322.0ms
(- (- (* f f) (* n n)))
242.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
240.0ms
(- (+ (pow f 3) (pow n 3)))

prune5.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
889×*-un-lft-identity
586×times-frac
471×add-sqr-sqrt
436×cbrt-prod
241×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
149×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
69×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- div-inv flip--
6×pow1/3 distribute-neg-frac associate-/l/
4×expm1-log1p-u cbrt-div insert-posit16 log1p-expm1-u add-log-exp
3×neg-sub0 cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp distribute-frac-neg flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
94.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
45.0ms
(/ (- (+ f n)) (- f n))
41.0ms
(/ (- (+ f n)) (- f n))
37.0ms
(/ (- (+ f n)) (- f n))

series501.0ms

Calls
4 calls:
Slowest
223.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
108.0ms
(/ (- (+ f n)) (- f n))
94.0ms
(/ (- (+ f n)) (- f n))
76.0ms
(/ (- (+ f n)) (- f n))

simplify27.1s

Calls
905 calls:
Slowest
316.0ms
(- (- (* f f) (* n n)))
312.0ms
(- (- (* f f) (* n n)))
286.0ms
(- (- (* f f) (* n n)))
275.0ms
(- (+ (pow f 3) (pow n 3)))
264.0ms
(* (cbrt (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (cbrt (/ (- (+ f n)) (- (pow f 3) (pow n 3)))))

prune7.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
565.0ms8000×body80valid