Details

Time bar (total: 35.9s)

sample116.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify97.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

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
46.0ms
(/ (- (+ f n)) (- f n))

series147.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
147.0ms
(/ (- (+ f n)) (- f n))

simplify3.5s

Counts
144 → 101
Calls
144 calls:
Slowest
287.0ms
(- (- (* f f) (* n n)))
199.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
190.0ms
(- (+ (pow f 3) (pow n 3)))
143.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
63.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune765.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 48
Calls
1 calls:
Slowest
27.0ms
(/ (+ f n) (- f n))

series95.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
95.0ms
(/ (+ f n) (- f n))

simplify845.0ms

Counts
56 → 51
Calls
56 calls:
Slowest
117.0ms
(/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (- f n) (- f n)) (- f n)))
47.0ms
(+ (pow f 3) (pow n 3))
38.0ms
(/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))
38.0ms
(/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))
34.0ms
(- (* f f) (* n n))

prune374.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
284×*-un-lft-identity
168×times-frac
146×add-sqr-sqrt
74×add-cube-cbrt
50×distribute-lft-out
48×swap-sqr
42×distribute-lft-out--
30×difference-of-squares
26×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log
12×associate-/r/
11×pow1
10×associate-/r*
8×associate-/l*
7×cbrt-div
6×frac-times cbrt-undiv flip3-- div-exp associate-*r/ div-inv flip-- distribute-neg-frac
4×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr associate-/l/
2×clear-num frac-2neg flip3-+ flip-+
1×cbrt-prod pow2 pow-plus pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 246
Calls
4 calls:
Slowest
78.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
31.0ms
(/ (+ n f) (- f n))
19.0ms
(/ (+ n f) (- f n))
13.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))

series758.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
432.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
121.0ms
(/ (+ n f) (- f n))
105.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
100.0ms
(/ (+ n f) (- f n))

simplify19.1s

Counts
299 → 258
Calls
299 calls:
Slowest
677.0ms
(* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n))))
664.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))
514.0ms
(* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
506.0ms
(* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))
367.0ms
(cbrt (* (+ n f) (- (* (/ (+ n f) (- f n)) (+ n f)))))

prune2.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (+ n f))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×cbrt-div add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 71
Calls
4 calls:
Slowest
5.0ms
(cbrt (- f n))
5.0ms
(cbrt (- f n))
5.0ms
(cbrt (- f n))
5.0ms
(cbrt (+ n f))

series875.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
245.0ms
(cbrt (- f n))
230.0ms
(cbrt (+ n f))
201.0ms
(cbrt (- f n))
199.0ms
(cbrt (- f n))

simplify4.2s

Counts
39 → 83
Calls
39 calls:
Slowest
591.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
589.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
587.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
433.0ms
(- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))))
421.0ms
(- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample808.0ms

Algorithm
intervals
Results
644.0ms8000×body80valid