Details

Time bar (total: 12.4s)

sample137.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify43.0ms

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

prune19.0ms

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
(/ (- (+ n f)) (- f n))

rewrite67.0ms

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:
62.0ms
(/ (- (+ n f)) (- f n))

series105.0ms

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

simplify704.0ms

Counts
100 → 100
Iterations
IterNodes
done5000
21081
1319
0137

prune363.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (- (+ n f)) (- f n))))
0.0b
(/ (- (+ n f)) (- f n))
0.5b
(expm1 (/ (- (+ n f)) (- f n)))

rewrite41.0ms

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×associate-/r* add-cbrt-cube add-exp-log
4×log1p-expm1-u
3×expm1-log1p-u pow1 add-log-exp
2×associate-/r/ distribute-neg-frac associate-/l/
1×neg-sub0 cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ flip3-- div-sub div-exp log1p-expm1 distribute-frac-neg flip-+ div-inv flip-- expm1-udef
Counts
3 → 119
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- (+ n f)) (- f n))))
31.0ms
(/ (- (+ n f)) (- f n))
1.0ms
(expm1 (/ (- (+ n f)) (- f n)))

series385.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(log1p (expm1 (/ (- (+ n f)) (- f n))))
124.0ms
(/ (- (+ n f)) (- f n))
122.0ms
(expm1 (/ (- (+ n f)) (- f n)))

simplify720.0ms

Counts
128 → 128
Iterations
IterNodes
done5001
21145
1355
0160

prune624.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1) (/ (- f n) (+ n f)))
0.0b
(log1p (expm1 (/ (- 1) (/ (- f n) (+ n f)))))
0.0b
(/ (- f n) (+ n f))
0.5b
(expm1 (/ (- 1) (/ (- f n) (+ n f))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
500×times-frac
426×*-un-lft-identity
304×add-sqr-sqrt
206×add-cube-cbrt
81×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out
49×distribute-lft-out-- difference-of-squares
30×associate-/r*
27×neg-mul-1
25×associate-/r/
15×associate-/l*
13×div-inv
12×flip3-+ flip-+
11×add-cbrt-cube add-exp-log
5×log1p-expm1-u
4×expm1-log1p-u pow1 cbrt-undiv div-exp add-log-exp
2×clear-num frac-2neg div-sub associate-/l/
1×neg-sub0 log1p-udef expm1-log1p flip3-- log1p-expm1 distribute-frac-neg flip-- expm1-udef
Counts
4 → 385
Calls
4 calls:
48.0ms
(/ (- 1) (/ (- f n) (+ n f)))
0.0ms
(log1p (expm1 (/ (- 1) (/ (- f n) (+ n f)))))
19.0ms
(/ (- f n) (+ n f))
0.0ms
(expm1 (/ (- 1) (/ (- f n) (+ n f))))

series493.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (- 1) (/ (- f n) (+ n f)))
142.0ms
(log1p (expm1 (/ (- 1) (/ (- f n) (+ n f)))))
101.0ms
(/ (- f n) (+ n f))
157.0ms
(expm1 (/ (- 1) (/ (- f n) (+ n f))))

simplify692.0ms

Counts
397 → 397
Iterations
IterNodes
done5001
11305
0434

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
615×*-un-lft-identity
488×cbrt-prod
368×times-frac
307×add-sqr-sqrt
228×distribute-rgt-neg-in
226×distribute-lft-neg-in
171×add-cube-cbrt
106×distribute-lft-out
105×swap-sqr
88×distribute-lft-out--
64×difference-of-squares
59×associate-*r* associate-*l*
28×associate-/r/
14×flip3-- div-inv flip--
11×pow1
9×pow1/3
7×cbrt-div neg-mul-1 distribute-neg-frac
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 451
Calls
4 calls:
250.0ms
(* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n)))))
26.0ms
(cbrt (- (/ (+ n f) (- f n))))
16.0ms
(cbrt (- (/ (+ n f) (- f n))))
25.0ms
(cbrt (- (/ (+ n f) (- f n))))

series1.2s

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n)))))
258.0ms
(cbrt (- (/ (+ n f) (- f n))))
281.0ms
(cbrt (- (/ (+ n f) (- f n))))
334.0ms
(cbrt (- (/ (+ n f) (- f n))))

simplify1.6s

Counts
463 → 463
Iterations
IterNodes
done5001
22099
1557
0334

prune2.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
215
114
08

end0.0ms

sample773.0ms

Algorithm
intervals
Results
455.0ms8000×body80valid