Details

Time bar (total: 14.3s)

sample75.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify60.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6328
done328

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:
29.0ms
(/ (- (+ f n)) (- f n))

series205.0ms

Counts
1 → 3
Calls
1 calls:
205.0ms
(/ (- (+ f n)) (- f n))

simplify872.0ms

Counts
100 → 100
Iterations

Useful iterations: done (866.0ms)

IterNodesCost
01351469
13161395
210691367
done50021358

prune361.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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:
39.0ms
(/ -1 (/ (- f n) (+ f n)))
21.0ms
(/ (- f n) (+ f n))

series202.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ -1 (/ (- f n) (+ f n)))
96.0ms
(/ (- f n) (+ f n))

simplify2.0s

Counts
178 → 178
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02232956
16092761
231172650
done50002599

prune629.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ 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)))

rewrite120.0ms

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:
27.0ms
(/ (- (+ f n)) (- f n))
30.0ms
(cbrt (/ (- (+ f n)) (- f n)))
24.0ms
(cbrt (/ (- (+ f n)) (- f n)))
23.0ms
(cbrt (/ (- (+ f n)) (- f n)))

series1.2s

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (- (+ f n)) (- f n))
328.0ms
(cbrt (/ (- (+ f n)) (- f n)))
371.0ms
(cbrt (/ (- (+ f n)) (- f n)))
366.0ms
(cbrt (/ (- (+ f n)) (- f n)))

simplify845.0ms

Counts
340 → 340
Iterations

Useful iterations: done (824.0ms)

IterNodesCost
02205870
14145586
212035498
done50025463

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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)))))
12.0ms
(cbrt (/ (- (+ f n)) (- f n)))
14.0ms
(cbrt (/ (- (+ f n)) (- f n)))
1.0ms
(log1p (/ (- (+ f n)) (- f n)))

series2.4s

Counts
4 → 12
Calls
4 calls:
1.5s
(cbrt (expm1 (log1p (/ (- (+ f n)) (- f n)))))
364.0ms
(cbrt (/ (- (+ f n)) (- f n)))
338.0ms
(cbrt (/ (- (+ f n)) (- f n)))
188.0ms
(log1p (/ (- (+ f n)) (- f n)))

simplify1.3s

Counts
190 → 190
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02343342
13933153
27583072
326773045
done50003043

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes177.0ms

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
079
189
done89

end0.0ms

sample1.2s

Algorithm
intervals
Results
892.0ms8000×body80valid