Details

Time bar (total: 14.2s)

sample68.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify99.0ms

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

prune16.0ms

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))

rewrite115.0ms

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-+ div-inv flip-- add-log-exp
Counts
1 → 95
Calls
1 calls:
105.0ms
(/ (- (+ n f)) (- f n))

series127.0ms

Counts
1 → 3
Calls
1 calls:
127.0ms
(/ (- (+ n f)) (- f n))

simplify719.0ms

Counts
98 → 98
Iterations
IterNodes
done5000
21077
1314
0135

prune295.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
438×*-un-lft-identity
334×add-sqr-sqrt
212×add-cube-cbrt
104×distribute-lft-neg-in distribute-rgt-neg-in
78×associate-/r*
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
15×add-exp-log
11×associate-/r/
10×distribute-neg-frac
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 382
Calls
2 calls:
49.0ms
(/ 1 (/ (- f n) (- (+ n f))))
43.0ms
(/ (- f n) (- (+ n f)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(/ 1 (/ (- f n) (- (+ n f))))
87.0ms
(/ (- f n) (- (+ n f)))

simplify575.0ms

Counts
388 → 388
Iterations
IterNodes
done5001
11097
0394

prune882.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

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))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
208×*-un-lft-identity
168×cbrt-prod
140×times-frac
136×add-sqr-sqrt
78×distribute-lft-neg-in distribute-rgt-neg-in add-cube-cbrt
36×distribute-lft-out
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
7×flip3-- div-inv flip--
6×add-cbrt-cube add-exp-log
5×associate-/r*
4×pow1 associate-/l* add-log-exp
3×cbrt-div neg-mul-1 pow1/3 distribute-neg-frac
2×associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+
Counts
4 → 240
Calls
4 calls:
21.0ms
(/ (+ n f) (- f n))
25.0ms
(cbrt (- (/ (+ n f) (- f n))))
31.0ms
(cbrt (- (/ (+ n f) (- f n))))
32.0ms
(cbrt (- (/ (+ n f) (- f n))))

series1.0s

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ (+ n f) (- f n))
306.0ms
(cbrt (- (/ (+ n f) (- f n))))
315.0ms
(cbrt (- (/ (+ n f) (- f n))))
322.0ms
(cbrt (- (/ (+ n f) (- f n))))

simplify1.8s

Counts
252 → 252
Iterations
IterNodes
done5000
33745
2858
1350
0192

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
862×*-un-lft-identity
634×cbrt-prod
586×times-frac
456×add-sqr-sqrt
232×add-cube-cbrt
212×distribute-rgt-neg-in
184×distribute-lft-neg-in
149×swap-sqr
140×distribute-lft-out--
120×distribute-lft-out
100×difference-of-squares
69×associate-*r* associate-*l*
39×neg-mul-1
14×associate-/r/ distribute-neg-frac
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
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 → 542
Calls
4 calls:
12.0ms
(cbrt (/ (- f n) (- (+ n f))))
14.0ms
(cbrt (/ (- f n) (- (+ n f))))
13.0ms
(cbrt (/ (- f n) (- (+ n f))))
170.0ms
(* (cbrt (/ (- f n) (- (+ n f)))) (cbrt (/ (- f n) (- (+ n f)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
399.0ms
(cbrt (/ (- f n) (- (+ n f))))
337.0ms
(cbrt (/ (- f n) (- (+ n f))))
304.0ms
(cbrt (/ (- f n) (- (+ n f))))
284.0ms
(* (cbrt (/ (- f n) (- (+ n f)))) (cbrt (/ (- f n) (- (+ n f)))))

simplify1.5s

Counts
554 → 554
Iterations
IterNodes
done5000
22224
1625
0367

prune2.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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
done15
215
114
08

end0.0ms

sample1.0s

Algorithm
intervals
Results
790.0ms8000×body80valid