Details

Time bar (total: 12.7s)

sample89.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify59.0ms

Counts
1 → 1
Iterations
IterNodes
done31
631
529
426
320
216
113
06

prune5.0ms

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))

rewrite33.0ms

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:
22.0ms
(/ (- (+ f n)) (- f n))

series219.0ms

Counts
1 → 3
Calls
1 calls:
219.0ms
(/ (- (+ f n)) (- f n))

simplify2.0s

Counts
101 → 101
Iterations
IterNodes
done5000
32461
2696
1317
0136

prune340.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize36.0ms

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)))

rewrite46.0ms

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:
6.0ms
(cbrt (- f n))
10.0ms
(cbrt (- (+ f n)))
17.0ms
(cbrt (- (+ f n)))
10.0ms
(cbrt (- (+ f n)))

series821.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt (- f n))
186.0ms
(cbrt (- (+ f n)))
187.0ms
(cbrt (- (+ f n)))
218.0ms
(cbrt (- (+ f n)))

simplify2.2s

Counts
105 → 105
Iterations
IterNodes
done5001
32309
2696
1271
0129

prune531.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×pow1 associate-*r* associate-/r/
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv flip3-+ flip3-- div-exp prod-exp associate-*r/ cbrt-unprod flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp unswap-sqr
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down associate-*l/ *-commutative distribute-lft-out
Counts
2 → 90
Calls
2 calls:
8.0ms
(/ -1 (- f n))
46.0ms
(* (/ -1 (- f n)) (+ f n))

series160.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ -1 (- f n))
113.0ms
(* (/ -1 (- f n)) (+ f n))

simplify1.8s

Counts
96 → 96
Iterations
IterNodes
done5001
21466
1459
0133

prune371.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))

rewrite72.0ms

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:
57.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
5.0ms
(cbrt (- f n))
4.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))

series781.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
188.0ms
(cbrt (- f n))
185.0ms
(cbrt (- f n))
234.0ms
(cbrt (- f n))

simplify1.6s

Counts
125 → 125
Iterations
IterNodes
done5001
32336
2786
1295
0137

prune547.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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

sample789.0ms

Algorithm
intervals
Results
607.0ms8000×body80valid