Details

Time bar (total: 20.6s)

sample214.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify48.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite122.0ms

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 flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 95
Calls
1 calls:
113.0ms
(/ (- (+ f n)) (- f n))

series150.0ms

Counts
1 → 3
Calls
1 calls:
150.0ms
(/ (- (+ f n)) (- f n))

simplify3.1s

Counts
98 → 98
Iterations
IterNodes
done5003
32227
2698
1311
0133

prune519.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
319×*-un-lft-identity
240×times-frac
227×add-sqr-sqrt
125×add-cube-cbrt
92×distribute-lft-neg-in distribute-rgt-neg-in
66×cbrt-prod
51×distribute-lft-out-- difference-of-squares
46×distribute-lft-out
36×associate-/l*
23×neg-mul-1
15×associate-/r*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/ distribute-neg-frac
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 360
Calls
4 calls:
33.0ms
(cbrt (/ (- (+ f n)) (- f n)))
76.0ms
(/ (- (+ f n)) (- f n))
70.0ms
(/ (- (+ f n)) (- f n))
89.0ms
(/ (- (+ f n)) (- f n))

series904.0ms

Counts
4 → 12
Calls
4 calls:
457.0ms
(cbrt (/ (- (+ f n)) (- f n)))
128.0ms
(/ (- (+ f n)) (- f n))
136.0ms
(/ (- (+ f n)) (- f n))
183.0ms
(/ (- (+ f n)) (- f n))

simplify3.2s

Counts
372 → 372
Iterations
IterNodes
done5032
32512
2825
1405
0216

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- f n) (- f n))
2.0b
(- (* f f) (* n n))
29.9b
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
23×add-sqr-sqrt
14×flip3-- flip--
13×add-cube-cbrt
12×times-frac associate-/l*
10×pow1 add-exp-log add-cbrt-cube
9×difference-of-squares
8×distribute-lft-neg-in frac-times distribute-rgt-neg-in associate-/r/
7×swap-sqr
6×distribute-lft-out--
5×associate-*r* associate-*l* add-log-exp
4×associate-*r/ associate-*l/
3×sub-neg
2×cbrt-undiv distribute-rgt-in neg-mul-1 distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-neg-frac
1×pow2 neg-sub0 frac-2neg pow-plus diff-log div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 109
Calls
3 calls:
79.0ms
(* (- f n) (- f n))
19.0ms
(- (* f f) (* n n))
101.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series264.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (- f n) (- f n))
69.0ms
(- (* f f) (* n n))
154.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify2.9s

Counts
118 → 118
Iterations
IterNodes
done5008
21496
1493
0163

prune679.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* f f) (- (* n n) (+ (* f n) (* f n))))
2.0b
(- (* f f) (* n n))
2.6b
(- (* n n) (+ (* f n) (* f n)))
29.9b
(/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))

rewrite385.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
30×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
20×add-log-exp
16×distribute-lft-neg-in distribute-rgt-neg-in
12×associate-/l*
10×difference-of-squares
6×add-exp-log add-cbrt-cube
5×diff-log sum-log
4×pow1 neg-mul-1
3×sub-neg flip3-- associate-/r* flip--
2×associate-+r+ flip3-+ associate-/r/ flip-+ associate-/l/ distribute-neg-frac
1×cbrt-undiv +-commutative neg-sub0 associate-+r- distribute-rgt-out frac-2neg div-sub distribute-frac-neg div-exp clear-num div-inv associate--r+ distribute-lft-out--
Counts
4 → 114
Calls
4 calls:
80.0ms
(+ (* f f) (- (* n n) (+ (* f n) (* f n))))
17.0ms
(- (* f f) (* n n))
39.0ms
(- (* n n) (+ (* f n) (* f n)))
241.0ms
(/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (* f f) (- (* n n) (+ (* f n) (* f n))))
75.0ms
(- (* f f) (* n n))
88.0ms
(- (* n n) (+ (* f n) (* f n)))
191.0ms
(/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))

simplify2.5s

Counts
126 → 126
Iterations
IterNodes
done5001
21636
1508
0191

prune853.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes252.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done17
217
116
09

end0.0ms

sample799.0ms

Algorithm
intervals
Results
526.0ms8000×body80valid