Details

Time bar (total: 17.8s)

sample98.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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-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:
40.0ms
(/ (- (+ f n)) (- f n))

series268.0ms

Counts
1 → 3
Calls
1 calls:
267.0ms
(/ (- (+ f n)) (- f n))

simplify4.6s

Counts
98 → 98
Iterations

Useful iterations: 3 (949.0ms)

IterNodesCost
01331451
12871378
26901348
318251340
447161340
done50011340

prune232.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(pow (/ (- (+ f n)) (- f n)) 3)

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
374×*-un-lft-identity
300×times-frac
270×add-sqr-sqrt
148×add-cube-cbrt
138×cbrt-prod
132×unpow-prod-down cube-prod
104×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
12×associate-/l*
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 div-sub cube-neg clear-num rem-cbrt-cube flip-+
Counts
3 → 396
Calls
3 calls:
78.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
64.0ms
(/ (- (+ f n)) (- f n))
47.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series378.0ms

Counts
3 → 9
Calls
3 calls:
170.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
85.0ms
(/ (- (+ f n)) (- f n))
123.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify2.3s

Counts
405 → 405
Iterations

Useful iterations: 2 (759.0ms)

IterNodesCost
03188107
19446800
228586258
done50006258

prune697.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg log-prod flip3-- div-sub flip-- div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 252
Calls
3 calls:
113.0ms
(exp (/ (- (+ f n)) (- f n)))
94.0ms
(log (exp (/ (- (+ f n)) (- f n))))
49.0ms
(/ (- (+ f n)) (- f n))

series319.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(exp (/ (- (+ f n)) (- f n)))
84.0ms
(log (exp (/ (- (+ f n)) (- f n))))
101.0ms
(/ (- (+ f n)) (- f n))

simplify2.0s

Counts
261 → 261
Iterations

Useful iterations: 3 (597.0ms)

IterNodesCost
02413236
14032862
28582790
321772768
done50002768

prune654.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (+ f n)) (+ f n))
0.0b
(cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))))
8.7b
(/ (+ f n) (pow (- f n) 3))
30.4b
(* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))

rewrite436.0ms

Algorithm
rewrite-expression-head
Rules
177×*-un-lft-identity
128×times-frac
107×add-sqr-sqrt
74×associate-*r*
69×add-cube-cbrt
45×unpow-prod-down cube-prod
36×frac-times distribute-lft-out
35×add-exp-log
31×flip3-+ flip-+
30×distribute-neg-frac
26×associate-*l/
20×add-cbrt-cube
18×distribute-lft-out-- difference-of-squares
17×cbrt-div
16×associate-/r*
13×associate-*l* prod-exp
12×associate-*r/
11×pow1
9×cube-mult unpow3 div-exp sqr-pow
7×cbrt-unprod
4×cube-div distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down associate-/r/ associate-/l* add-log-exp
3×cbrt-undiv distribute-lft-neg-out pow-to-exp pow-exp
2×flip3-- *-commutative flip-- div-inv associate-/l/
1×cbrt-prod distribute-rgt-in neg-mul-1 frac-2neg distribute-lft-in pow1/3 clear-num unswap-sqr
Counts
4 → 278
Calls
4 calls:
63.0ms
(* (- (+ f n)) (+ f n))
87.0ms
(cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))))
40.0ms
(/ (+ f n) (pow (- f n) 3))
212.0ms
(* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))

series453.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (- (+ f n)) (+ f n))
146.0ms
(cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))))
128.0ms
(/ (+ f n) (pow (- f n) 3))
144.0ms
(* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))

simplify3.1s

Counts
290 → 290
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
02945678
18505110
248814587
done50004587

prune952.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11511
21611
done1611

end0.0ms

sample540.0ms

Algorithm
intervals
Results
368.0ms8000×body80valid