Details

Time bar (total: 1.4m)

sample108.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify37.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
36.0ms
(/ (- (+ f n)) (- f n))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

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
42.0ms
(/ (- (+ f n)) (- f n))

series143.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
143.0ms
(/ (- (+ f n)) (- f n))

simplify5.4s

Counts
163 → 101
Calls
163 calls:
Slowest
335.0ms
(* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))
278.0ms
(* (- f n) (+ (* f f) (- (* n n) (* f n))))
255.0ms
(/ (- (+ f n)) (- (* f f) (* n n)))
253.0ms
(/ (- (+ f n)) (- (pow f 3) (pow n 3)))
171.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))

prune722.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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
17.0ms
(/ -1 (/ (- f n) (+ f n)))
16.0ms
(/ (- f n) (+ f n))

series230.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
122.0ms
(/ (- f n) (+ f n))
107.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify19.2s

Counts
281 → 180
Calls
281 calls:
Slowest
550.0ms
(/ (sqrt -1) (/ (- f n) (- (* f f) (* n n))))
513.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
331.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
331.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
329.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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
17.0ms
(/ (- f n) (+ f n))
13.0ms
(/ -1 (/ (- f n) (+ f n)))

series204.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(/ -1 (/ (- f n) (+ f n)))
98.0ms
(/ (- f n) (+ f n))

simplify18.8s

Counts
281 → 180
Calls
281 calls:
Slowest
522.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
326.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
324.0ms
(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
321.0ms
(* (+ f n) (+ (* f f) (+ (* n n) (* f n))))
320.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.4b
(/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
456×times-frac
326×add-sqr-sqrt *-un-lft-identity
305×cbrt-prod
204×add-cube-cbrt
61×distribute-lft-out-- difference-of-squares
30×associate-/l*
26×cbrt-div
20×associate-/r/
13×flip3-- add-exp-log flip--
10×div-inv
8×associate-/r*
7×pow1
6×add-cbrt-cube div-exp
5×pow1/3
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp clear-num frac-2neg 1-exp inv-pow associate-/l/
Counts
4 → 357
Calls
4 calls:
Slowest
35.0ms
(/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
11.0ms
(cbrt (- f n))
5.0ms
(cbrt (- f n))
5.0ms
(cbrt (- f n))

series742.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
211.0ms
(cbrt (- f n))
189.0ms
(cbrt (- f n))
181.0ms
(cbrt (- f n))
161.0ms
(/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))

simplify29.2s

Counts
628 → 369
Calls
628 calls:
Slowest
771.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))
767.0ms
(* (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))))
662.0ms
(- (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))))
398.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
388.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))

prune4.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample714.0ms

Algorithm
intervals
Results
568.0ms8000×body80valid