Details

Time bar (total: 17.4s)

sample200.0ms

Algorithm
intervals
Results
63.0ms256×body80valid

simplify117.0ms

Calls
1 calls:
Slowest
116.0ms
(/ (- (+ f n)) (- f n))

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
4×neg-mul-1
3×associate-/r* 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
11.0ms
(/ (- (+ f n)) (- f n))

series428.0ms

Calls
1 calls:
Slowest
428.0ms
(/ (- (+ f n)) (- f n))

simplify2.4s

Calls
81 calls:
Slowest
313.0ms
(- (- (* f f) (* n n)))
226.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
108.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
78.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
76.0ms
(- (+ (pow f 3) (pow n 3)))

prune588.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
7×cbrt-div
6×associate-/r/ distribute-neg-frac associate-/l/
5×frac-times associate-*r/
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-*l/ flip-+ div-inv flip--
1×cbrt-prod pow1/3
Calls
4 calls:
Slowest
12.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
9.0ms
(/ (+ n f) (- f n))
8.0ms
(/ (+ n f) (- f n))
8.0ms
(/ (+ n f) (- f n))

series650.0ms

Calls
4 calls:
Slowest
380.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
115.0ms
(/ (+ n f) (- f n))
82.0ms
(/ (+ n f) (- f n))
72.0ms
(/ (+ n f) (- f n))

simplify3.5s

Calls
107 calls:
Slowest
383.0ms
(cbrt (* (+ n f) (- (* (/ (+ n f) (- f n)) (+ n f)))))
338.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (+ n f) (+ n f)))))
263.0ms
(cbrt (* (+ n f) (- (* (+ n f) (+ n f)))))
255.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (+ n f)))))
232.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (+ n f) (/ (+ n f) (- f n))))))

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(expm1 (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))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
6×associate-/r/ associate-/l/
5×log1p-expm1-u
4×expm1-log1p-u pow1 insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip--
1×expm1-log1p expm1-udef
Calls
4 calls:
Slowest
5.0ms
(/ (+ n f) (- f n))
4.0ms
(/ (+ n f) (- f n))
4.0ms
(/ (+ n f) (- f n))
1.0ms
(expm1 (cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))

series1.3s

Calls
4 calls:
Slowest
973.0ms
(expm1 (cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))
98.0ms
(/ (+ n f) (- f n))
93.0ms
(/ (+ n f) (- f n))
92.0ms
(/ (+ n f) (- f n))

simplify1.9s

Calls
100 calls:
Slowest
179.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
138.0ms
(/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))
120.0ms
(/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))
115.0ms
(/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))
54.0ms
(+ (* f f) (+ (* n n) (* f n)))

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- (+ f n)) (/ 1 (- f n)))
0.0b
(/ 1 (- f n))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
7×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
6×associate-*r*
5×pow1
4×add-cbrt-cube associate-/r/ distribute-neg-frac
3×distribute-lft-neg-in associate-/r* distribute-rgt-neg-in
2×expm1-log1p-u frac-times rec-exp flip3-+ flip3-- associate-*l/ prod-exp flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
1×distribute-lft-neg-out clear-num neg-mul-1 frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative cbrt-unprod pow-flip inv-pow
Calls
2 calls:
Slowest
6.0ms
(* (- (+ f n)) (/ 1 (- f n)))
1.0ms
(/ 1 (- f n))

series152.0ms

Calls
2 calls:
Slowest
92.0ms
(* (- (+ f n)) (/ 1 (- f n)))
60.0ms
(/ 1 (- f n))

simplify2.3s

Calls
38 calls:
Slowest
382.0ms
(* (- (- (* f f) (* n n))) 1)
371.0ms
(* (- (+ (pow f 3) (pow n 3))) (/ 1 (- f n)))
248.0ms
(* (- (+ f n)) (/ 1 (- f n)))
244.0ms
(* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (/ 1 (- f n)) (/ 1 (- f n))) (/ 1 (- f n))))
218.0ms
(* (- (- (* f f) (* n n))) (/ 1 (- f n)))

prune457.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample766.0ms

Algorithm
intervals
Results
640.0ms8000×body80valid