Details

Time bar (total: 9.8s)

sample257.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6318
done318

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
19.0ms
(/ (- (+ f n)) (- f n))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (- (+ f n)) (- f n))

simplify2.0s

Counts
100 → 100
Iterations

Useful iterations: 3 (435.0ms)

IterNodesCost
01351469
12951395
26981365
319821357
done50001357

prune165.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- (+ f n)) (- f n))
0.0b
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.1b
(pow (/ (- (+ f n)) (- f n)) 3)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
374×*-un-lft-identity
300×times-frac
270×add-sqr-sqrt
148×add-cube-cbrt
138×cbrt-prod
132×unpow-prod-down cube-prod
104×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
12×associate-/l*
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 div-sub cube-neg clear-num rem-cbrt-cube flip-+
Counts
3 → 402
Calls
3 calls:
20.0ms
(/ (- (+ f n)) (- f n))
26.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
21.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series276.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(/ (- (+ f n)) (- f n))
118.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
85.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify1.2s

Counts
411 → 411
Iterations

Useful iterations: 2 (501.0ms)

IterNodesCost
03248171
19536872
231936314
done50016314

prune476.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt times-frac
34×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×add-exp-log associate-/r* add-cbrt-cube
4×log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 119
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
17.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series296.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
71.0ms
(/ (- (+ f n)) (- f n))
110.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify2.0s

Counts
128 → 128
Iterations

Useful iterations: 3 (449.0ms)

IterNodesCost
01581755
13251651
27321586
320201578
done50001578

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ f n) (- f n))
0.0b
(cbrt (pow (- (/ (+ f n) (- f n))) 3))
0.1b
(pow (- (/ (+ f n) (- f n))) 3)
0.5b
(expm1 (cbrt (pow (- (/ (+ f n) (- f n))) 3)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
267×*-un-lft-identity
180×times-frac
175×add-sqr-sqrt
118×cbrt-prod
112×unpow-prod-down cube-prod
104×distribute-lft-neg-in distribute-rgt-neg-in
101×add-cube-cbrt
46×distribute-lft-out
37×distribute-lft-out-- difference-of-squares
18×associate-/r/
9×flip3-- flip-- div-inv
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* log1p-expm1-u
4×expm1-log1p-u neg-mul-1 associate-/l* add-log-exp
3×pow-unpow
2×cube-div cube-mult unpow3 associate-/l/ distribute-neg-frac sqr-pow
1×cbrt-undiv pow-to-exp cbrt-div expm1-log1p pow-pow frac-2neg flip3-+ pow1/3 div-exp cube-neg pow-exp clear-num rem-cbrt-cube flip-+ expm1-udef rem-cube-cbrt
Counts
4 → 321
Calls
4 calls:
11.0ms
(/ (+ f n) (- f n))
32.0ms
(cbrt (pow (- (/ (+ f n) (- f n))) 3))
25.0ms
(pow (- (/ (+ f n) (- f n))) 3)
0.0ms
(expm1 (cbrt (pow (- (/ (+ f n) (- f n))) 3)))

series695.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (+ f n) (- f n))
125.0ms
(cbrt (pow (- (/ (+ f n) (- f n))) 3))
106.0ms
(pow (- (/ (+ f n) (- f n))) 3)
394.0ms
(expm1 (cbrt (pow (- (/ (+ f n) (- f n))) 3)))

simplify1.0s

Counts
333 → 333
Iterations

Useful iterations: 2 (459.0ms)

IterNodesCost
03036432
18625236
228624858
done50014858

prune480.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11413
21813
done1813

end0.0ms

sample284.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid