Details

Time bar (total: 16.6s)

sample87.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite78.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 95
Calls
1 calls:
67.0ms
(/ (- (+ f n)) (- f n))

series122.0ms

Counts
1 → 3
Calls
1 calls:
122.0ms
(/ (- (+ f n)) (- f n))

simplify3.8s

Counts
98 → 98
Iterations

Useful iterations: 3 (521.0ms)

IterNodesCost
01331451
12871378
26901348
318251340
447161340
done50011340

prune208.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
438×*-un-lft-identity
334×add-sqr-sqrt
212×add-cube-cbrt
104×distribute-lft-neg-in distribute-rgt-neg-in
78×associate-/r*
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
15×add-exp-log
11×associate-/r/
10×distribute-neg-frac
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 382
Calls
2 calls:
56.0ms
(/ 1 (/ (- f n) (- (+ f n))))
51.0ms
(/ (- f n) (- (+ f n)))

series224.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(/ 1 (/ (- f n) (- (+ f n))))
125.0ms
(/ (- f n) (- (+ f n)))

simplify2.0s

Counts
388 → 388
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03897352
19096269
219565670
done50005553

prune633.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)))
0.1b
(/ (- (sqrt (+ f n))) (- f n))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
217×*-un-lft-identity
182×times-frac
181×add-sqr-sqrt
97×add-cube-cbrt
96×associate-*r*
94×sqrt-prod
77×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
23×distribute-lft-out
18×associate-/l*
11×neg-mul-1
9×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-div
5×associate-/r*
4×pow1 associate-/r/ unswap-sqr
3×flip3-+ flip-+
2×cbrt-undiv frac-times flip3-- distribute-frac-neg div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-neg-frac add-log-exp
1×neg-sub0 frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 257
Calls
2 calls:
185.0ms
(* (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)))
61.0ms
(/ (- (sqrt (+ f n))) (- f n))

series266.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(* (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)))
143.0ms
(/ (- (sqrt (+ f n))) (- f n))

simplify2.2s

Counts
263 → 263
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02794454
16413922
221653804
done50013801

prune643.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite598.0ms

Algorithm
rewrite-expression-head
Rules
282×*-un-lft-identity
265×times-frac
250×add-sqr-sqrt
227×sqrt-prod
142×add-cube-cbrt
110×add-exp-log
81×associate-*r*
72×distribute-lft-neg-in distribute-rgt-neg-in
53×div-exp
51×associate-*l*
38×add-cbrt-cube
36×distribute-lft-out
32×prod-exp
31×associate-/r* distribute-lft-out-- difference-of-squares
18×neg-mul-1 rec-exp 1-exp
15×cbrt-undiv unswap-sqr
11×pow1 associate-/r/ associate-/l*
8×sqrt-div cbrt-unprod distribute-neg-frac
5×pow-flip div-inv
4×flip3-+ flip-+ add-log-exp
3×frac-2neg clear-num
2×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/l/ inv-pow
1×flip3-- sqrt-pow1 pow1/2 div-sub *-commutative flip--
Counts
4 → 421
Calls
4 calls:
119.0ms
(/ 1 (* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n))))))
46.0ms
(/ 1 (sqrt (- (+ f n))))
319.0ms
(* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))))
50.0ms
(/ (- f n) (sqrt (- (+ f n))))

series599.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(/ 1 (* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n))))))
136.0ms
(/ 1 (sqrt (- (+ f n))))
195.0ms
(* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))))
135.0ms
(/ (- f n) (sqrt (- (+ f n))))

simplify2.4s

Counts
433 → 433
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
04418124
111666973
234315888
done50005888

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
21510
done1510

end0.0ms

sample1.1s

Algorithm
intervals
Results
831.0ms8000×body80valid