Details

Time bar (total: 4.1m)

sample77.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify229.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
228.0ms
(/ (- (+ f n)) (- f n))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

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
45.0ms
(/ (- (+ f n)) (- f n))

series126.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
126.0ms
(/ (- (+ f n)) (- f n))

simplify3.2s

Counts
144 → 101
Calls
144 calls:
Slowest
243.0ms
(- (- (* f f) (* n n)))
218.0ms
(- (+ (pow f 3) (pow n 3)))
147.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
119.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
74.0ms
(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune786.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
885×*-un-lft-identity
584×times-frac
455×add-sqr-sqrt
237×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
146×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
66×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
22×add-cbrt-cube add-exp-log
15×associate-/r*
14×associate-/r/
11×pow1
7×cbrt-undiv flip3-- div-exp distribute-frac-neg div-inv flip--
6×distribute-neg-frac associate-/l/
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×neg-sub0 clear-num frac-2neg flip3-+ div-sub flip-+
1×distribute-lft-neg-out pow2 frac-times pow-plus sqr-neg pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up distribute-rgt-neg-out
Counts
4 → 606
Calls
4 calls:
Slowest
83.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
41.0ms
(/ (- (+ f n)) (- f n))
26.0ms
(/ (- (+ f n)) (- f n))
23.0ms
(/ (- (+ f n)) (- f n))

series435.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
125.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
114.0ms
(/ (- (+ f n)) (- f n))
100.0ms
(/ (- (+ f n)) (- f n))
95.0ms
(/ (- (+ f n)) (- f n))

simplify1.1m

Counts
887 → 618
Calls
887 calls:
Slowest
1.1s
(* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
1.1s
(* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
1.1s
(* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
1.0s
(* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
969.0ms
(* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))))

prune5.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- f n) (+ f n))
0.0b
(/ -1 (/ (- f n) (+ f n)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 174
Calls
2 calls:
Slowest
29.0ms
(/ (- f n) (+ f n))
13.0ms
(/ -1 (/ (- f n) (+ f n)))

series202.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
105.0ms
(/ -1 (/ (- f n) (+ f n)))
97.0ms
(/ (- f n) (+ f n))

simplify14.3s

Counts
249 → 180
Calls
249 calls:
Slowest
574.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
417.0ms
(/ (cbrt -1) (/ (- f n) (+ f n)))
334.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
298.0ms
(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
291.0ms
(/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
10×add-cbrt-cube add-exp-log
9×associate-/l*
6×add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×cbrt-undiv clear-num frac-2neg div-exp
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log
Counts
4 → 535
Calls
4 calls:
Slowest
89.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
61.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
12.0ms
(/ f (+ f n))
7.0ms
(/ n (+ f n))

series369.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
140.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
113.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
62.0ms
(/ n (+ f n))
54.0ms
(/ f (+ f n))

simplify2.4m

Counts
903 → 547
Calls
903 calls:
Slowest
931.0ms
(fma f (/ 1 (+ f n)) (- (* (/ n (cbrt (+ f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))))
660.0ms
(fma (- (/ (cbrt n) (cbrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))))
632.0ms
(fma (- (/ (cbrt n) (cbrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))))
609.0ms
(fma (/ (sqrt f) 1) (/ (sqrt f) (+ f n)) (- (* (/ n (cbrt (+ f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))))
605.0ms
(fma (/ 1 1) (/ f (+ f n)) (- (* (/ n (cbrt (+ f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))))

prune4.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
969.0ms8000×body80valid