Details

Time bar (total: 36.2s)

sample128.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify36.0ms

Counts
1 → 1
Iterations
IterNodes
731
631
529
424
320
216
113
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 1 expressions with local error:

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

rewrite49.0ms

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:
44.0ms
(/ (- (+ f n)) (- f n))

series146.0ms

Counts
1 → 3
Calls
1 calls:
146.0ms
(/ (- (+ f n)) (- f n))

simplify2.5s

Counts
101 → 101
Iterations
IterNodes
45212
31792
2704
1316
0136

prune791.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
19.0ms
(/ -1 (/ (- f n) (+ f n)))
32.0ms
(/ (- f n) (+ f n))

series181.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ -1 (/ (- f n) (+ f n)))
90.0ms
(/ (- f n) (+ f n))

simplify2.9s

Counts
180 → 180
Iterations
IterNodes
35833
21735
1587
0225

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
106×add-sqr-sqrt
101×times-frac
57×add-cube-cbrt
56×associate-*r*
27×distribute-lft-out
26×distribute-lft-neg-in distribute-rgt-neg-in associate-*l*
22×distribute-lft-out-- difference-of-squares
13×add-cbrt-cube add-exp-log
10×associate-/r* associate-/r/
8×associate-/l*
7×cbrt-div
6×frac-times pow1 associate-*r/ distribute-neg-frac
5×flip3-- div-inv flip--
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u add-log-exp associate-/l/
3×cbrt-undiv div-exp
2×clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-prod neg-mul-1 pow1/3 pow-prod-down *-commutative distribute-rgt-neg-out
Counts
4 → 219
Calls
4 calls:
29.0ms
(/ (+ n f) (- f n))
19.0ms
(/ (+ n f) (- f n))
106.0ms
(cbrt (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))))
104.0ms
(* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))

series718.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (+ n f) (- f n))
116.0ms
(/ (+ n f) (- f n))
306.0ms
(cbrt (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))))
210.0ms
(* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))

simplify19.1s

Counts
231 → 231
Iterations
IterNodes
36383
21993
1693
0216

prune2.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (+ f n)))
0.0b
(sqrt (- (+ f n)))
0.1b
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))
0.2b
(/ (sqrt (- (+ f n))) (- f n))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
246×*-un-lft-identity
224×add-sqr-sqrt
217×times-frac
203×sqrt-prod
114×add-cube-cbrt
81×associate-*r*
64×distribute-lft-neg-in distribute-rgt-neg-in
49×associate-*l*
32×distribute-lft-out
31×distribute-lft-out-- difference-of-squares
23×add-exp-log
18×add-cbrt-cube
16×neg-mul-1
15×associate-/l* unswap-sqr
8×pow1 div-exp
6×sqrt-div prod-exp distribute-neg-frac
5×cbrt-undiv associate-/r*
4×expm1-log1p-u associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×flip3-+ flip-+ div-inv
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 1-exp flip-- associate-/l/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 338
Calls
4 calls:
20.0ms
(sqrt (- (+ f n)))
14.0ms
(sqrt (- (+ f n)))
78.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))
24.0ms
(/ (sqrt (- (+ f n))) (- f n))

series478.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(sqrt (- (+ f n)))
89.0ms
(sqrt (- (+ f n)))
121.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))
169.0ms
(/ (sqrt (- (+ f n))) (- f n))

simplify1.0s

Counts
350 → 350
Iterations
IterNodes
22430
11023
0352

prune2.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample720.0ms

Algorithm
intervals
Results
538.0ms8000×body80valid