Details

Time bar (total: 11.1s)

sample72.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify125.0ms

Counts
1 → 1

prune8.0ms

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))

rewrite36.0ms

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
31.0ms
(/ (- (+ f n)) (- f n))

series131.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
131.0ms
(/ (- (+ f n)) (- f n))

simplify866.0ms

Counts
101 → 101

prune947.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
67×add-sqr-sqrt
60×times-frac
37×add-cube-cbrt
18×distribute-lft-out
15×associate-/r* distribute-lft-out-- difference-of-squares
12×associate-/l*
10×add-cbrt-cube add-exp-log
7×cbrt-div
6×associate-/r/ distribute-neg-frac associate-/l/
5×frac-times associate-*l/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp associate-*r/ flip-+ div-inv flip--
1×cbrt-prod pow1/3
Counts
4 → 163
Calls
4 calls:
Slowest
43.0ms
(/ (+ n f) (- f n))
37.0ms
(/ (+ n f) (- f n))
20.0ms
(/ (+ n f) (- f n))
19.0ms
(cbrt (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))))

series705.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
365.0ms
(cbrt (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))))
115.0ms
(/ (+ n f) (- f n))
115.0ms
(/ (+ n f) (- f n))
110.0ms
(/ (+ n f) (- f n))

simplify863.0ms

Counts
175 → 175

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

31.4b
(* (- (/ (+ n f) (- (* f (* f f)) (* (* n n) n)))) (+ (* f f) (+ (* n n) (* f n))))
10.3b
(/ (+ n f) (- (* f (* f f)) (* (* n n) n)))
4.1b
(- (* f (* f f)) (* (* n n) n))
1.8b
(+ (* f f) (+ (* n n) (* f n)))

rewrite501.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
48×times-frac associate-*l*
36×add-sqr-sqrt
34×add-cube-cbrt
22×distribute-lft-neg-in distribute-rgt-neg-in
14×difference-cubes cube-unmult pow3
13×distribute-lft-out
11×add-log-exp
8×add-cbrt-cube add-exp-log
6×pow1 associate-/r/
4×expm1-log1p-u associate-/r* flip3-+ flip3-- flip-+ insert-posit16 log1p-expm1-u flip-- associate-/l*
3×sum-log associate-*r* div-inv distribute-neg-frac
2×frac-times associate-*r/ associate-/l/
1×distribute-lft-neg-out distribute-rgt-in cbrt-undiv +-commutative associate-+r+ clear-num neg-mul-1 sub-neg fma-def frac-2neg distribute-lft-in fma-neg diff-log div-exp prod-diff pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 152
Calls
4 calls:
Slowest
383.0ms
(* (- (/ (+ n f) (- (* f (* f f)) (* (* n n) n)))) (+ (* f f) (+ (* n n) (* f n))))
64.0ms
(/ (+ n f) (- (* f (* f f)) (* (* n n) n)))
34.0ms
(- (* f (* f f)) (* (* n n) n))
17.0ms
(+ (* f f) (+ (* n n) (* f n)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
192.0ms
(* (- (/ (+ n f) (- (* f (* f f)) (* (* n n) n)))) (+ (* f f) (+ (* n n) (* f n))))
77.0ms
(- (* f (* f f)) (* (* n n) n))
66.0ms
(/ (+ n f) (- (* f (* f f)) (* (* n n) n)))
36.0ms
(+ (* f f) (+ (* n n) (* f n)))

simplify1.5s

Counts
164 → 164

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample765.0ms

Algorithm
intervals
Results
564.0ms8000×body80valid