Details

Time bar (total: 21.7s)

sample84.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify81.0ms

Counts
1 → 1
Iterations
IterNodes
731
631
529
424
320
216
113
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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*
neg-mul-1
associate-/r*
add-cbrt-cube add-exp-log
associate-/r/ distribute-neg-frac associate-/l/
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:
23.0ms
(/ (- (+ f n)) (- f n))

series99.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(/ (- (+ f n)) (- f n))

simplify2.3s

Counts
101 → 101
Iterations
IterNodes
45212
31792
2704
1316
0136

prune585.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×associate-/r/
add-cbrt-cube add-exp-log
associate-/l*
div-inv
flip3-+ flip-+
cbrt-undiv div-exp
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
flip3-- div-sub flip--
Counts
2 → 174
Calls
2 calls:
27.0ms
(/ -1 (/ (- f n) (+ f n)))
33.0ms
(/ (- f n) (+ f n))

series193.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ -1 (/ (- f n) (+ f n)))
87.0ms
(/ (- f n) (+ f n))

simplify3.2s

Counts
180 → 180
Iterations
IterNodes
35833
21735
1587
0225

prune975.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (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))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
889×*-un-lft-identity
586×times-frac
471×add-sqr-sqrt
436×cbrt-prod
241×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
149×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
69×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
unswap-sqr
flip3-- div-inv flip--
pow1/3 distribute-neg-frac associate-/l/
expm1-log1p-u cbrt-div insert-posit16 log1p-expm1-u add-log-exp
neg-sub0 cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp distribute-frac-neg flip-+
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 614
Calls
4 calls:
100.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
26.0ms
(/ (- (+ f n)) (- f n))
33.0ms
(/ (- (+ f n)) (- f n))
27.0ms
(/ (- (+ f n)) (- f n))

series647.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
126.0ms
(/ (- (+ f n)) (- f n))
107.0ms
(/ (- (+ f n)) (- f n))
131.0ms
(/ (- (+ f n)) (- f n))

simplify4.3s

Counts
626 → 626
Iterations
IterNodes
33146
21430
1695
0393

prune4.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
cbrt-div add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
flip3-- flip-- distribute-lft-out-- difference-of-squares
flip3-+ flip-+ distribute-lft-out
Counts
4 → 71
Calls
4 calls:
5.0ms
(cbrt (+ f n))
6.0ms
(cbrt (- f n))
6.0ms
(cbrt (- f n))
13.0ms
(cbrt (- f n))

series746.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt (+ f n))
185.0ms
(cbrt (- f n))
154.0ms
(cbrt (- f n))
203.0ms
(cbrt (- f n))

simplify2.0s

Counts
83 → 83
Iterations
IterNodes
43469
31317
2529
1234
0108

prune847.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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
28
18
07

end0.0ms

sample770.0ms

Algorithm
intervals
Results
607.0ms8000×body80valid