Details

Time bar (total: 11.1s)

sample103.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify83.0ms

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

prune7.0ms

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))

rewrite48.0ms

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 pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 96
Calls
1 calls:
43.0ms
(/ (- (+ f n)) (- f n))

series152.0ms

Counts
1 → 3
Calls
1 calls:
151.0ms
(/ (- (+ f n)) (- f n))

simplify1.8s

Counts
99 → 99
Iterations
IterNodes
done5001
32407
2685
1312
0134

prune377.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize43.0ms

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))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×cbrt-div add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))

series685.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt (- f n))
174.0ms
(cbrt (+ f n))
146.0ms
(cbrt (+ f n))
159.0ms
(cbrt (+ f n))

simplify1.5s

Counts
73 → 73
Iterations
IterNodes
done5003
31612
2529
1224
0104

prune449.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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×frac-times cbrt-undiv flip3-+ flip3-- div-exp prod-exp associate-*r/ cbrt-unprod flip-+ insert-posit16 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 → 86
Calls
2 calls:
7.0ms
(/ -1 (- f n))
34.0ms
(* (/ -1 (- f n)) (+ f n))

series147.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ -1 (- f n))
95.0ms
(* (/ -1 (- f n)) (+ f n))

simplify1.5s

Counts
92 → 92
Iterations
IterNodes
done5001
21384
1450
0129

prune350.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))

rewrite45.0ms

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×frac-times add-cbrt-cube insert-posit16 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 → 105
Calls
4 calls:
33.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
4.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))

series730.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
213.0ms
(cbrt (- f n))
186.0ms
(cbrt (- f n))
179.0ms
(cbrt (- f n))

simplify1.5s

Counts
117 → 117
Iterations
IterNodes
done5002
31918
2673
1285
0133

prune592.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done27
527
425
323
220
116
012

end0.0ms

sample777.0ms

Algorithm
intervals
Results
593.0ms8000×body80valid