Details

Time bar (total: 20.5s)

sample188.0ms

Algorithm
intervals
Results
56.0ms256×body80valid

simplify117.0ms

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

prune15.0ms

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))

rewrite56.0ms

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 pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 96
Calls
1 calls:
50.0ms
(/ (- (+ f n)) (- f n))

series116.0ms

Counts
1 → 3
Calls
1 calls:
116.0ms
(/ (- (+ f n)) (- f n))

simplify2.0s

Counts
99 → 99
Iterations
IterNodes
45122
31802
2699
1312
0134

prune797.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 170
Calls
2 calls:
30.0ms
(/ -1 (/ (- f n) (+ f n)))
25.0ms
(/ (- f n) (+ f n))

series199.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(/ -1 (/ (- f n) (+ f n)))
98.0ms
(/ (- f n) (+ f n))

simplify1.6s

Counts
176 → 176
Iterations
IterNodes
35589
21760
1582
0221

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
44×div-inv
31×add-exp-log
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube div-exp
10×cbrt-undiv
4×pow1
3×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 518
Calls
3 calls:
7.0ms
(/ -1 (- f n))
8.0ms
(/ 1 (+ f n))
34.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ -1 (- f n))
56.0ms
(/ 1 (+ f n))
96.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

simplify2.1s

Counts
527 → 527
Iterations
IterNodes
25272
11997
0643

prune4.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 248
Calls
4 calls:
91.0ms
(* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))
10.0ms
(cbrt (/ (- f n) (+ f n)))
10.0ms
(cbrt (/ (- f n) (+ f n)))
10.0ms
(cbrt (/ (- f n) (+ f n)))

series1.2s

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))
299.0ms
(cbrt (/ (- f n) (+ f n)))
293.0ms
(cbrt (/ (- f n) (+ f n)))
396.0ms
(cbrt (/ (- f n) (+ f n)))

simplify1.8s

Counts
260 → 260
Iterations
IterNodes
43638
31321
2662
1335
0185

prune3.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes83.0ms

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
212
112
011

end0.0ms

sample701.0ms

Algorithm
intervals
Results
553.0ms8000×body80valid