Details

Time bar (total: 10.3s)

sample63.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify56.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6328
done328

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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:
40.0ms
(/ (- (+ f n)) (- f n))

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(/ (- (+ f n)) (- f n))

simplify851.0ms

Counts
100 → 100
Iterations

Useful iterations: done (848.0ms)

IterNodesCost
01351469
13161395
210801367
done50011358

prune254.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

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)))

rewrite57.0ms

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))))
48.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series476.0ms

Counts
3 → 9
Calls
3 calls:
181.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
112.0ms
(/ (- (+ f n)) (- f n))
183.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify805.0ms

Counts
128 → 128
Iterations

Useful iterations: done (800.0ms)

IterNodesCost
01581755
13521651
211421589
done50011581

prune444.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite481.0ms

Algorithm
rewrite-expression-head
Rules
167×*-un-lft-identity
124×add-sqr-sqrt
120×times-frac
70×add-cube-cbrt
66×exp-prod
44×distribute-lft-neg-in distribute-rgt-neg-in
27×difference-of-squares
26×distribute-lft-out--
22×distribute-lft-out
12×associate-/l*
11×neg-mul-1
9×prod-diff
7×add-log-exp
6×add-exp-log add-cbrt-cube
5×expm1-log1p-u associate-/r*
4×pow1 associate-/r/ log1p-expm1-u
3×flip3-- fma-neg flip--
2×neg-sub0 expm1-def div-sub log1p-expm1 distribute-frac-neg div-inv associate-/l/ distribute-neg-frac
1×cbrt-undiv exp-neg sub-neg log1p-udef frac-2neg flip3-+ exp-diff diff-log difference-of-sqr-1 div-exp clear-num flip-+ rem-exp-log
Counts
4 → 218
Calls
4 calls:
1.0ms
(log1p (- (exp (/ (- (+ f n)) (- f n))) 1))
111.0ms
(exp (/ (- (+ f n)) (- f n)))
45.0ms
(/ (- (+ f n)) (- f n))
303.0ms
(- (exp (/ (- (+ f n)) (- f n))) 1)

series553.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(log1p (- (exp (/ (- (+ f n)) (- f n))) 1))
159.0ms
(exp (/ (- (+ f n)) (- f n)))
89.0ms
(/ (- (+ f n)) (- f n))
154.0ms
(- (exp (/ (- (+ f n)) (- f n))) 1)

simplify1.3s

Counts
230 → 230
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02483172
15232786
217582636
done50002563

prune783.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- (+ f n)) (- f n)))
0.0b
(fma (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) -1)
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
238×*-un-lft-identity
180×times-frac
170×add-sqr-sqrt
94×add-cube-cbrt
68×distribute-lft-neg-in distribute-rgt-neg-in
66×exp-prod
38×distribute-lft-out-- difference-of-squares
34×distribute-lft-out
24×associate-/l*
17×neg-mul-1
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/r/
5×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ distribute-neg-frac
3×neg-sub0 flip3-- div-sub distribute-frac-neg flip-- div-inv
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×exp-neg exp-diff fma-udef rem-exp-log
Counts
4 → 282
Calls
4 calls:
90.0ms
(exp (/ (- (+ f n)) (- f n)))
1.0ms
(fma (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) -1)
68.0ms
(/ (- (+ f n)) (- f n))
55.0ms
(/ (- (+ f n)) (- f n))

series598.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(exp (/ (- (+ f n)) (- f n)))
352.0ms
(fma (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) -1)
77.0ms
(/ (- (+ f n)) (- f n))
73.0ms
(/ (- (+ f n)) (- f n))

simplify915.0ms

Counts
294 → 294
Iterations

Useful iterations: done (900.0ms)

IterNodesCost
02034076
14023707
213093612
done50003587

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01123
11723
21823
done1823

end0.0ms

sample721.0ms

Algorithm
intervals
Results
424.0ms8000×body80valid