Details

Time bar (total: 19.3s)

sample144.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite107.0ms

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:
95.0ms
(/ (- (+ f n)) (- f n))

series117.0ms

Counts
1 → 3
Calls
1 calls:
116.0ms
(/ (- (+ f n)) (- f n))

simplify3.7s

Counts
98 → 98
Iterations

Useful iterations: 3 (422.0ms)

IterNodesCost
01331451
12871378
26901348
318251340
447161340
done50011340

prune212.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite147.0ms

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:
37.0ms
(/ (- f n) (- (+ f n)))
62.0ms
(/ 1 (/ (- f n) (- (+ f n))))

series176.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ (- f n) (- (+ f n)))
82.0ms
(/ 1 (/ (- f n) (- (+ f n))))

simplify1.8s

Counts
388 → 388
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03897352
19096269
219555670
done50005553

prune528.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite333.0ms

Algorithm
rewrite-expression-head
Rules
3124×times-frac
2165×*-un-lft-identity
1651×add-sqr-sqrt
1250×sqrt-prod
1151×add-cube-cbrt
257×distribute-lft-out
250×distribute-lft-out-- difference-of-squares
145×associate-/r/
82×sqrt-div
73×div-inv
50×associate-/r*
41×flip3-- flip-- associate-/l*
32×flip3-+ flip-+
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
3×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
3 → 1337
Calls
3 calls:
85.0ms
(/ (/ -1 (sqrt (- f n))) (/ (sqrt (- f n)) (+ f n)))
26.0ms
(/ -1 (sqrt (- f n)))
29.0ms
(/ (sqrt (- f n)) (+ f n))

series361.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(/ (/ -1 (sqrt (- f n))) (/ (sqrt (- f n)) (+ f n)))
105.0ms
(/ -1 (sqrt (- f n)))
153.0ms
(/ (sqrt (- f n)) (+ f n))

simplify2.9s

Counts
1346 → 1346
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0120945249
1350039967
done500039133

prune2.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* n n) (* f n))
3.9b
(+ (pow f 3) (pow n 3))
8.2b
(/ (- (+ (pow f 3) (pow n 3))) (- f n))
33.2b
(/ (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (+ (* f f) (- (* n n) (* f n))))

rewrite567.0ms

Algorithm
rewrite-expression-head
Rules
1066×*-un-lft-identity
898×times-frac
536×add-sqr-sqrt
314×add-cube-cbrt
265×distribute-lft-out
234×distribute-lft-neg-in distribute-rgt-neg-in
212×unpow-prod-down cube-prod
138×associate-/l*
111×distribute-lft-out-- difference-of-squares
53×sum-cubes
26×neg-mul-1
12×associate-/r/
11×add-exp-log add-cbrt-cube
8×associate-/r* add-log-exp
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv div-exp
3×flip3-+ div-sub distribute-frac-neg flip-+ associate-/l/
2×neg-sub0 frac-2neg clear-num distribute-neg-frac
1×+-commutative sub-neg distribute-rgt-out-- diff-log sum-log
Counts
4 → 671
Calls
4 calls:
8.0ms
(- (* n n) (* f n))
22.0ms
(+ (pow f 3) (pow n 3))
143.0ms
(/ (- (+ (pow f 3) (pow n 3))) (- f n))
307.0ms
(/ (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (+ (* f f) (- (* n n) (* f n))))

series354.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* n n) (* f n))
69.0ms
(+ (pow f 3) (pow n 3))
63.0ms
(/ (- (+ (pow f 3) (pow n 3))) (- f n))
165.0ms
(/ (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (+ (* f f) (- (* n n) (* f n))))

simplify2.8s

Counts
683 → 683
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
059124535
1135421613
2412521409
done500221409

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes92.0ms

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
068
1128
2138
done138

end0.0ms

sample597.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid