Details

Time bar (total: 8.5s)

sample126.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify52.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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:
41.0ms
(/ (- (+ f n)) (- f n))

series117.0ms

Counts
1 → 3
Calls
1 calls:
117.0ms
(/ (- (+ f n)) (- f n))

simplify1.9s

Counts
99 → 99
Iterations
IterNodes
done5001
32205
2699
1312
0134

prune351.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (* f f) (* n n))
29.0b
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac associate-/l*
8×distribute-lft-neg-in add-sqr-sqrt distribute-rgt-neg-in *-un-lft-identity flip3-- associate-/r/ add-cube-cbrt flip--
7×add-cbrt-cube add-exp-log
5×difference-of-squares
4×frac-times add-log-exp
2×pow1 cbrt-undiv neg-mul-1 div-exp associate-*l/ associate-*r/ insert-posit16 distribute-neg-frac associate-/l/
1×neg-sub0 clear-num associate-/r* sub-neg frac-2neg diff-log div-sub prod-exp distribute-frac-neg cbrt-unprod div-inv
Counts
2 → 66
Calls
2 calls:
7.0ms
(- (* f f) (* n n))
45.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (* f f) (* n n))
91.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done5001
21253
1335
0124

prune277.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ f n))
0.0b
(sqrt (+ f n))
0.1b
(/ (sqrt (+ f n)) (- f n))
0.2b
(* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
149×*-un-lft-identity
137×add-sqr-sqrt
136×times-frac
79×sqrt-prod
78×add-cube-cbrt
58×associate-*l*
41×associate-*r*
23×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
19×distribute-lft-out
18×add-cbrt-cube
15×distribute-lft-out-- difference-of-squares
9×unswap-sqr
8×pow1 div-exp
7×associate-/l*
6×sqrt-div prod-exp
5×cbrt-undiv associate-/r*
4×associate-/r/ cbrt-unprod insert-posit16 add-log-exp
3×neg-mul-1 flip3-+ flip-+ div-inv
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 1-exp flip-- associate-/l/
1×distribute-lft-neg-out frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative
Counts
4 → 230
Calls
4 calls:
9.0ms
(sqrt (+ f n))
9.0ms
(sqrt (+ f n))
29.0ms
(/ (sqrt (+ f n)) (- f n))
69.0ms
(* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(sqrt (+ f n))
69.0ms
(sqrt (+ f n))
108.0ms
(/ (sqrt (+ f n)) (- f n))
91.0ms
(* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))

simplify1.9s

Counts
242 → 242
Iterations
IterNodes
done5002
22323
1827
0274

prune924.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes120.0ms

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
done13
213
112
06

end0.0ms

sample597.0ms

Algorithm
intervals
Results
433.0ms8000×body80valid