Details

Time bar (total: 13.5s)

sample128.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify28.0ms

Counts
1 → 1
Iterations
IterNodes
done31
631
529
424
320
216
113
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

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:
58.0ms
(/ (- (+ f n)) (- f n))

series123.0ms

Counts
1 → 3
Calls
1 calls:
123.0ms
(/ (- (+ f n)) (- f n))

simplify2.2s

Counts
101 → 101
Iterations
IterNodes
done5012
32259
2709
1317
0136

prune438.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- f n))
0.6b
(cbrt (- (+ f n)))
0.6b
(cbrt (- (+ f n)))
0.6b
(cbrt (- (+ f n)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
41×cbrt-prod
28×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
12×distribute-lft-neg-in distribute-rgt-neg-in
8×cbrt-div
6×distribute-neg-frac distribute-lft-out
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×neg-mul-1 flip3-+ flip-+
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 93
Calls
4 calls:
3.0ms
(cbrt (- f n))
6.0ms
(cbrt (- (+ f n)))
5.0ms
(cbrt (- (+ f n)))
10.0ms
(cbrt (- (+ f n)))

series933.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt (- f n))
197.0ms
(cbrt (- (+ f n)))
237.0ms
(cbrt (- (+ f n)))
244.0ms
(cbrt (- (+ f n)))

simplify1.8s

Counts
105 → 105
Iterations
IterNodes
done5007
31881
2653
1271
0129

prune596.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- f n))
0.2b
(* (- (/ 1 (- f n))) (+ f n))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt *-un-lft-identity
46×associate-*l*
45×times-frac
32×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
10×distribute-lft-out-- difference-of-squares
8×add-exp-log
6×add-cbrt-cube associate-/r/
5×pow1 associate-/r*
4×associate-*r*
3×flip3-- div-inv flip-- distribute-neg-frac associate-/l*
2×expm1-log1p-u frac-times flip3-+ div-exp associate-*r/ flip-+ insert-posit16 log1p-expm1-u add-log-exp
1×distribute-lft-neg-out distribute-rgt-in cbrt-undiv rec-exp clear-num neg-mul-1 frac-2neg distribute-lft-in 1-exp pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod pow-flip distribute-lft-out inv-pow unswap-sqr
Counts
2 → 117
Calls
2 calls:
14.0ms
(/ 1 (- f n))
64.0ms
(* (- (/ 1 (- f n))) (+ f n))

series157.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ 1 (- f n))
90.0ms
(* (- (/ 1 (- f n))) (+ f n))

simplify2.0s

Counts
123 → 123
Iterations
IterNodes
done5000
22879
1631
0165

prune400.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- f n)) (cbrt (- f n)))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 113
Calls
4 calls:
33.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
3.0ms
(cbrt (- f n))
7.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))

series818.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
230.0ms
(cbrt (- f n))
196.0ms
(cbrt (- f n))
208.0ms
(cbrt (- f n))

simplify2.0s

Counts
125 → 125
Iterations
IterNodes
done5002
32093
2740
1295
0137

prune610.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
218
117
012

end0.0ms

sample861.0ms

Algorithm
intervals
Results
645.0ms8000×body80valid