Details

Time bar (total: 12.6s)

sample97.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
done32
632
530
426
320
216
113
06

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 97
Calls
1 calls:
31.0ms
(/ (- (+ n f)) (- f n))

series106.0ms

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

simplify533.0ms

Counts
100 → 100
Iterations
IterNodes
done5000
21081
1319
0137

prune293.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 172
Calls
2 calls:
19.0ms
(/ -1 (/ (- f n) (+ n f)))
20.0ms
(/ (- f n) (+ n f))

series217.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(/ -1 (/ (- f n) (+ n f)))
121.0ms
(/ (- f n) (+ n f))

simplify1.9s

Counts
178 → 178
Iterations
IterNodes
done5000
23162
1616
0229

prune640.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
301×*-un-lft-identity
240×times-frac
217×add-sqr-sqrt
198×cbrt-prod
119×add-cube-cbrt
84×distribute-lft-neg-in distribute-rgt-neg-in
49×distribute-lft-out-- difference-of-squares
42×distribute-lft-out
21×neg-mul-1
12×associate-/l*
8×associate-/r/
6×add-cbrt-cube add-exp-log
5×associate-/r*
4×expm1-log1p-u pow1 flip3-- log1p-expm1-u div-inv flip-- add-log-exp
3×cbrt-div pow1/3
2×distribute-neg-frac associate-/l/
1×neg-sub0 cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp distribute-frac-neg flip-+
Counts
4 → 328
Calls
4 calls:
48.0ms
(/ (- (+ n f)) (- f n))
21.0ms
(cbrt (/ (- (+ n f)) (- f n)))
12.0ms
(cbrt (/ (- (+ n f)) (- f n)))
23.0ms
(cbrt (/ (- (+ n f)) (- f n)))

series832.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (- (+ n f)) (- f n))
240.0ms
(cbrt (/ (- (+ n f)) (- f n)))
234.0ms
(cbrt (/ (- (+ n f)) (- f n)))
268.0ms
(cbrt (/ (- (+ n f)) (- f n)))

simplify662.0ms

Counts
340 → 340
Iterations
IterNodes
done5002
21195
1419
0225

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (expm1 (log1p (- (/ (+ f n) (- f n))))))
0.0b
(cbrt (/ (- (+ n f)) (- f n)))
0.0b
(cbrt (/ (- (+ n f)) (- f n)))
1.9b
(log1p (- (/ (+ f n) (- f n))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
149×*-un-lft-identity
135×cbrt-prod
120×times-frac
109×add-sqr-sqrt
61×add-cube-cbrt
40×distribute-lft-neg-in distribute-rgt-neg-in
24×distribute-lft-out-- difference-of-squares
20×distribute-lft-out
10×neg-mul-1
5×expm1-log1p-u
4×pow1 add-cbrt-cube add-exp-log associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-div flip3-- div-inv flip--
1×log1p-udef log1p-expm1
Counts
4 → 178
Calls
4 calls:
1.0ms
(cbrt (expm1 (log1p (- (/ (+ f n) (- f n))))))
13.0ms
(cbrt (/ (- (+ n f)) (- f n)))
27.0ms
(cbrt (/ (- (+ n f)) (- f n)))
1.0ms
(log1p (- (/ (+ f n) (- f n))))

series2.2s

Counts
4 → 12
Calls
4 calls:
1.5s
(cbrt (expm1 (log1p (- (/ (+ f n) (- f n))))))
258.0ms
(cbrt (/ (- (+ n f)) (- f n)))
275.0ms
(cbrt (/ (- (+ n f)) (- f n)))
205.0ms
(log1p (- (/ (+ f n) (- f n))))

simplify1.2s

Counts
190 → 190
Iterations
IterNodes
done5000
33014
2853
1399
0238

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes105.0ms

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
done8
18
07

end0.0ms

sample636.0ms

Algorithm
intervals
Results
380.0ms8000×body80valid