Details

Time bar (total: 34.8s)

sample129.0ms

Algorithm
intervals
Results
64.0ms256×body80valid

simplify50.0ms

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

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 98
Calls
1 calls:
47.0ms
(/ (- (+ f n)) (- f n))

series108.0ms

Counts
1 → 3
Calls
1 calls:
108.0ms
(/ (- (+ f n)) (- f n))

simplify2.3s

Counts
101 → 101
Iterations
IterNodes
done5012
32259
2709
1317
0136

prune405.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
6118×frac-times
4331×*-un-lft-identity
3419×cbrt-div
3405×associate-/r*
3150×distribute-neg-frac
2880×add-sqr-sqrt
2754×associate-/l*
1436×add-cube-cbrt
1362×associate-/l/
731×distribute-lft-out
709×distribute-lft-out-- difference-of-squares
696×clear-num
681×frac-2neg flip3-+ flip-+
437×associate-*r/
224×associate-*l/
146×times-frac
126×cbrt-prod
115×associate-*r*
82×associate-*l*
45×un-div-inv
26×distribute-lft-neg-in distribute-rgt-neg-in
14×associate-/r/
12×unswap-sqr
10×add-cbrt-cube add-exp-log
7×flip3-- div-inv flip--
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×*-commutative
1×neg-mul-1 pow1/3
Counts
4 → 3700
Calls
4 calls:
44.0ms
(/ (+ n f) (- f n))
33.0ms
(/ (+ n f) (- f n))
34.0ms
(/ (+ n f) (- f n))
1.4s
(cbrt (* (/ (+ n f) (- f n)) (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))))

series628.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (+ n f) (- f n))
78.0ms
(/ (+ n f) (- f n))
104.0ms
(/ (+ n f) (- f n))
351.0ms
(cbrt (* (/ (+ n f) (- f n)) (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))))

simplify6.5s

Counts
3712 → 3712
Iterations
IterNodes
done6262
06262

prune13.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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×expm1-log1p-u log1p-expm1-u
3×pow1 insert-posit16 add-log-exp
2×log1p-expm1 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 distribute-frac-neg flip-+ div-inv flip-- expm1-udef
Counts
3 → 123
Calls
3 calls:
1.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
53.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series360.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
104.0ms
(/ (- (+ f n)) (- f n))
116.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify2.2s

Counts
132 → 132
Iterations
IterNodes
done5000
32267
2738
1353
0161

prune485.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

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))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
329×*-un-lft-identity
240×times-frac
233×add-sqr-sqrt
129×add-cube-cbrt
96×distribute-lft-neg-in distribute-rgt-neg-in
66×cbrt-prod
52×distribute-lft-out-- difference-of-squares
48×distribute-lft-out associate-/l*
24×neg-mul-1
22×cbrt-div
20×associate-/r*
10×add-cbrt-cube add-exp-log
8×associate-/r/ distribute-neg-frac associate-/l/
4×expm1-log1p-u pow1 clear-num frac-2neg flip3-+ flip3-- flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
3×neg-sub0 cbrt-undiv div-sub div-exp distribute-frac-neg
1×pow1/3
Counts
4 → 393
Calls
4 calls:
37.0ms
(cbrt (/ (- (+ f n)) (- f n)))
57.0ms
(/ (- (+ f n)) (- f n))
32.0ms
(/ (- (+ f n)) (- f n))
62.0ms
(/ (- (+ f n)) (- f n))

series637.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(cbrt (/ (- (+ f n)) (- f n)))
108.0ms
(/ (- (+ f n)) (- f n))
96.0ms
(/ (- (+ f n)) (- f n))
115.0ms
(/ (- (+ f n)) (- f n))

simplify2.1s

Counts
405 → 405
Iterations
IterNodes
done5002
32780
2932
1457
0252

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done26
326
224
116
09

end0.0ms

sample794.0ms

Algorithm
intervals
Results
618.0ms8000×body80valid