Details

Time bar (total: 17.9s)

sample73.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
37.0ms
(/ (- (+ f n)) (- f n))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ (- (+ f n)) (- f n))

simplify2.6s

Counts
100 → 100
Iterations

Useful iterations: 3 (478.0ms)

IterNodesCost
01351469
12921395
27021365
319071357
done50001357

prune248.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

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)))

rewrite59.0ms

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×add-exp-log associate-/r* add-cbrt-cube
4×log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 119
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
48.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series463.0ms

Counts
3 → 9
Calls
3 calls:
193.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
104.0ms
(/ (- (+ f n)) (- f n))
165.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify2.5s

Counts
128 → 128
Iterations

Useful iterations: 3 (647.0ms)

IterNodesCost
01581755
13211651
27391587
319501579
done50001579

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite554.0ms

Algorithm
rewrite-expression-head
Rules
320×*-un-lft-identity
241×times-frac
232×add-sqr-sqrt
126×add-cube-cbrt
92×distribute-lft-neg-in distribute-rgt-neg-in
69×associate-*r*
68×cbrt-prod
51×distribute-lft-out-- difference-of-squares
46×distribute-lft-out
36×associate-/l*
23×pow1 neg-mul-1
15×add-exp-log associate-/r*
12×cbrt-div
11×add-cbrt-cube
9×pow1/3 pow-prod-up
8×associate-/r/
6×pow-plus associate-/l/ distribute-neg-frac
5×frac-times pow-prod-down associate-*l/
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub associate-*r/ distribute-frac-neg div-exp prod-exp clear-num pow-sqr cbrt-unprod flip-+ unswap-sqr
2×pow2
1×associate-*l* pow3 *-commutative
Counts
4 → 399
Calls
4 calls:
363.0ms
(* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))))
33.0ms
(/ (- (+ f n)) (- f n))
75.0ms
(/ (- (+ f n)) (- f n))
60.0ms
(/ (- (+ f n)) (- f n))

series453.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))))
85.0ms
(/ (- (+ f n)) (- f n))
108.0ms
(/ (- (+ f n)) (- f n))
105.0ms
(/ (- (+ f n)) (- f n))

simplify2.7s

Counts
411 → 411
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02657480
15927117
214516650
331386551
done50006551

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- f n))
0.5b
(* (cbrt (- f n)) (cbrt (- f n)))
0.6b
(cbrt (/ (- (+ f n)) (cbrt (- f n))))
0.6b
(cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
210×cbrt-prod
136×*-un-lft-identity
106×add-sqr-sqrt
99×times-frac
64×add-cube-cbrt
32×distribute-lft-neg-in distribute-rgt-neg-in
30×cbrt-div
19×distribute-lft-out--
17×difference-of-squares
16×distribute-lft-out
14×flip3-- flip--
11×pow1
10×swap-sqr associate-/r/
9×pow1/3
8×frac-times neg-mul-1 associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up div-inv
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 214
Calls
4 calls:
8.0ms
(cbrt (- f n))
62.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
20.0ms
(cbrt (/ (- (+ f n)) (cbrt (- f n))))
33.0ms
(cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
224.0ms
(cbrt (- f n))
177.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
432.0ms
(cbrt (/ (- (+ f n)) (cbrt (- f n))))
171.0ms
(cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))

simplify2.9s

Counts
226 → 226
Iterations

Useful iterations: done (2.8s)

IterNodesCost
04524137
17803877
215833789
333903642
done50013611

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
21510
done1510

end0.0ms

sample939.0ms

Algorithm
intervals
Results
748.0ms8000×body80valid