Details

Time bar (total: 10.8s)

sample151.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify50.0ms

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

localize67.0ms

Local error

Found 1 expressions with local error:

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

rewrite155.0ms

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:
149.0ms
(/ (- (+ f n)) (- f n))

series678.0ms

Counts
1 → 3
Calls
1 calls:
678.0ms
(/ (- (+ f n)) (- f n))

simplify2.4s

Counts
101 → 101
Iterations
IterNodes
done5012
32259
2709
1317
0136

prune374.0ms

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)))

rewrite78.0ms

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×expm1-log1p-u pow1 cbrt-undiv neg-mul-1 div-exp associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u distribute-neg-frac associate-/l/
1×neg-sub0 clear-num associate-/r* sub-neg frac-2neg fma-neg diff-log div-sub prod-diff prod-exp distribute-frac-neg cbrt-unprod div-inv
Counts
2 → 72
Calls
2 calls:
16.0ms
(- (* f f) (* n n))
60.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* f f) (* n n))
101.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify1.3s

Counts
78 → 78
Iterations
IterNodes
done5002
21196
1330
0131

prune295.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

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)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
245×*-un-lft-identity
222×add-sqr-sqrt
214×times-frac
113×add-cube-cbrt
112×sqrt-prod
96×associate-*r*
77×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
27×distribute-lft-out
25×associate-*l*
23×add-exp-log
18×add-cbrt-cube associate-/l*
11×neg-mul-1
10×unswap-sqr
8×pow1 div-exp
6×sqrt-div prod-exp
5×cbrt-undiv associate-/r*
4×expm1-log1p-u associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×flip3-+ flip-+ div-inv
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 1-exp distribute-frac-neg hypot-def flip-- distribute-neg-frac associate-/l/
1×neg-sub0 frac-times clear-num frac-2neg div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative distribute-rgt-neg-out
Counts
4 → 331
Calls
4 calls:
10.0ms
(sqrt (+ f n))
10.0ms
(sqrt (+ f n))
32.0ms
(/ (- (sqrt (+ f n))) (- f n))
71.0ms
(* (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (+ f n))
59.0ms
(sqrt (+ f n))
99.0ms
(/ (- (sqrt (+ f n))) (- f n))
137.0ms
(* (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)))

simplify2.6s

Counts
343 → 343
Iterations
IterNodes
done5002
23476
11085
0345

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
213
112
06

end0.0ms

sample653.0ms

Algorithm
intervals
Results
456.0ms8000×body80valid