Details

Time bar (total: 9.5s)

sample164.0ms

Algorithm
intervals
Results
60.0ms256×body80valid

simplify118.0ms

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

localize57.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:
46.0ms
(/ (- (+ f n)) (- f n))

series127.0ms

Counts
1 → 3
Calls
1 calls:
127.0ms
(/ (- (+ f n)) (- f n))

simplify2.2s

Counts
101 → 101
Iterations
IterNodes
done5012
32259
2709
1317
0136

prune334.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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:
11.0ms
(- (* f f) (* n n))
49.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series198.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- (* f f) (* n n))
140.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify1.5s

Counts
78 → 78
Iterations
IterNodes
done5002
21196
1330
0131

prune287.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

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)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
149×*-un-lft-identity
141×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×expm1-log1p-u associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×neg-mul-1 flip3-+ flip-+ div-inv
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 1-exp hypot-def 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 → 240
Calls
4 calls:
13.0ms
(sqrt (+ f n))
10.0ms
(sqrt (+ f n))
21.0ms
(/ (sqrt (+ f n)) (- f n))
71.0ms
(* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (+ f n))
46.0ms
(sqrt (+ f n))
101.0ms
(/ (sqrt (+ f n)) (- f n))
125.0ms
(* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))

simplify2.0s

Counts
252 → 252
Iterations
IterNodes
done5007
22781
1854
0280

prune953.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes139.0ms

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

sample777.0ms

Algorithm
intervals
Results
601.0ms8000×body80valid