Details

Time bar (total: 2.6m)

sample161.0ms

Algorithm
intervals
Results
60.0ms256×body80valid

simplify165.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
164.0ms
(/ (- (+ f n)) (- f n))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite123.0ms

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
55.0ms
(/ (- (+ f n)) (- f n))

series391.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
391.0ms
(/ (- (+ f n)) (- f n))

simplify3.7s

Counts
144 → 101
Calls
144 calls:
Slowest
375.0ms
(- (- (* f f) (* n n)))
269.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
208.0ms
(- (+ (pow f 3) (pow n 3)))
112.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
79.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune839.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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
25.0ms
(/ -1 (/ (- f n) (+ f n)))
17.0ms
(/ (- f n) (+ f n))

series177.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
92.0ms
(/ -1 (/ (- f n) (+ f n)))
85.0ms
(/ (- f n) (+ f n))

simplify14.2s

Counts
249 → 180
Calls
249 calls:
Slowest
643.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
544.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
312.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
293.0ms
(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
276.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(expm1 (/ -1 (/ (- f n) (+ f n))))
0.0b
(log1p (expm1 (/ -1 (/ (- f n) (+ f n)))))
0.0b
(/ (- f n) (+ f n))
0.0b
(/ -1 (/ (- f n) (+ f n)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
176×*-un-lft-identity
124×add-sqr-sqrt
82×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube add-exp-log associate-/r/
8×associate-/l*
6×div-inv
5×flip3-+ flip-+ log1p-expm1-u
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 add-log-exp
2×clear-num frac-2neg associate-/l/
1×log1p-udef expm1-log1p flip3-- div-sub log1p-expm1 flip-- expm1-udef
Counts
4 → 198
Calls
4 calls:
Slowest
23.0ms
(/ -1 (/ (- f n) (+ f n)))
18.0ms
(/ (- f n) (+ f n))
1.0ms
(expm1 (/ -1 (/ (- f n) (+ f n))))
0.0ms
(log1p (expm1 (/ -1 (/ (- f n) (+ f n)))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(log1p (expm1 (/ -1 (/ (- f n) (+ f n)))))
148.0ms
(expm1 (/ -1 (/ (- f n) (+ f n))))
104.0ms
(/ -1 (/ (- f n) (+ f n)))
98.0ms
(/ (- f n) (+ f n))

simplify13.7s

Counts
256 → 210
Calls
256 calls:
Slowest
455.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
358.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
327.0ms
(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
259.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
234.0ms
(/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (- (+ f n)) (sqrt (- f n)))
0.0b
(/ (/ (- (+ f n)) (sqrt (- f n))) (sqrt (- f n)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
1776×times-frac
1474×*-un-lft-identity
1150×add-sqr-sqrt
1120×sqrt-prod
702×add-cube-cbrt
324×distribute-lft-neg-in distribute-rgt-neg-in
224×distribute-lft-out-- difference-of-squares
162×distribute-lft-out
114×associate-/l*
81×neg-mul-1
22×sqrt-div associate-/r/
16×associate-/r*
11×flip3-- div-inv flip--
9×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg associate-/l/
2×neg-sub0 expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u distribute-neg-frac add-log-exp
1×flip3-+ flip-+
Counts
2 → 1085
Calls
2 calls:
Slowest
60.0ms
(/ (/ (- (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
35.0ms
(/ (- (+ f n)) (sqrt (- f n)))

series320.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
220.0ms
(/ (- (+ f n)) (sqrt (- f n)))
100.0ms
(/ (/ (- (+ f n)) (sqrt (- f n))) (sqrt (- f n)))

simplify1.7m

Counts
1972 → 1091
Calls
1972 calls:
Slowest
706.0ms
(/ (/ (- (+ f n)) (sqrt (- (pow f 3) (pow n 3)))) (sqrt 1))
406.0ms
(/ (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (sqrt (sqrt (- f n))))
387.0ms
(/ (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (sqrt (+ (sqrt f) (sqrt n))))
387.0ms
(/ (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (+ (sqrt f) (sqrt n)))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))
386.0ms
(/ (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (sqrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))

prune11.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample704.0ms

Algorithm
intervals
Results
556.0ms8000×body80valid