Details

Time bar (total: 16.8s)

sample115.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify51.0ms

Counts
1 → 1
Iterations
IterNodes
done31
631
529
424
320
216
113
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite529.0ms

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:
518.0ms
(/ (- (+ f n)) (- f n))

series143.0ms

Counts
1 → 3
Calls
1 calls:
143.0ms
(/ (- (+ f n)) (- f n))

simplify2.0s

Counts
99 → 99
Iterations
IterNodes
done5001
32205
2699
1312
0134

prune356.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite101.0ms

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:
47.0ms
(/ -1 (/ (- f n) (+ f n)))
40.0ms
(/ (- f n) (+ f n))

series221.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(/ -1 (/ (- f n) (+ f n)))
105.0ms
(/ (- f n) (+ f n))

simplify1.7s

Counts
176 → 176
Iterations
IterNodes
done5031
22012
1591
0221

prune587.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×associate-/r* add-cbrt-cube add-exp-log
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg log-prod flip3-- div-sub insert-posit16 div-inv flip--
2×log-div exp-diff distribute-neg-frac associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp rem-log-exp log-rec flip-+ rem-exp-log
Counts
3 → 255
Calls
3 calls:
67.0ms
(log (exp (/ (- (+ f n)) (- f n))))
64.0ms
(exp (/ (- (+ f n)) (- f n)))
61.0ms
(/ (- (+ f n)) (- f n))

series318.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(log (exp (/ (- (+ f n)) (- f n))))
138.0ms
(exp (/ (- (+ f n)) (- f n)))
84.0ms
(/ (- (+ f n)) (- f n))

simplify1.9s

Counts
264 → 264
Iterations
IterNodes
done5001
32747
2913
1442
0244

prune851.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite391.0ms

Algorithm
rewrite-expression-head
Rules
753×times-frac
636×*-un-lft-identity
446×cbrt-prod
412×add-sqr-sqrt
250×add-cube-cbrt
129×cbrt-div
126×associate-/r/
99×distribute-lft-out
81×distribute-lft-out--
69×difference-of-squares
51×swap-sqr
48×div-inv
34×associate-/r*
32×frac-times associate-*l/ associate-*r/
29×associate-*r* associate-*l*
22×add-exp-log
18×associate-/l*
16×flip3-+ flip-+
13×add-cbrt-cube
11×pow1
9×unswap-sqr
8×cbrt-undiv div-exp
6×pow1/3
4×insert-posit16 add-log-exp
3×clear-num frac-2neg prod-exp cbrt-unprod associate-/l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus flip3-- div-sub *-commutative flip--
Counts
4 → 560
Calls
4 calls:
40.0ms
(/ (- f n) (+ f n))
81.0ms
(/ (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (cbrt (/ (- f n) (+ f n))))
38.0ms
(/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))
176.0ms
(* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))

series708.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (- f n) (+ f n))
146.0ms
(/ (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (cbrt (/ (- f n) (+ f n))))
257.0ms
(/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))
214.0ms
(* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))

simplify3.3s

Counts
572 → 572
Iterations
IterNodes
done5010
23393
11469
0644

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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

sample609.0ms

Algorithm
intervals
Results
435.0ms8000×body80valid