Details

Time bar (total: 17.2s)

sample213.0ms

Algorithm
intervals
Results
53.0ms256×body80valid

simplify118.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite74.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
67.0ms
(/ (- (+ f n)) (- f n))

series103.0ms

Counts
1 → 3
Calls
1 calls:
102.0ms
(/ (- (+ f n)) (- f n))

simplify3.2s

Counts
100 → 100
Iterations

Useful iterations: 3 (658.0ms)

IterNodesCost
01351469
12921395
27021365
319071357
done50001357

prune287.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)

rewrite238.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 402
Calls
3 calls:
77.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
62.0ms
(/ (- (+ f n)) (- f n))
43.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series380.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
116.0ms
(/ (- (+ f n)) (- f n))
103.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify1.9s

Counts
411 → 411
Iterations

Useful iterations: 2 (692.0ms)

IterNodesCost
03248171
19556853
228756311
done50006311

prune661.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
151×*-un-lft-identity
112×exp-prod
100×times-frac
99×add-sqr-sqrt
57×add-cube-cbrt log-pow
52×distribute-lft-neg-in distribute-rgt-neg-in
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
5×add-exp-log flip3-- associate-/r* add-cbrt-cube flip-- div-inv add-log-exp
4×pow1 associate-/l*
3×exp-neg expm1-log1p-u log-prod log1p-expm1-u
2×neg-sub0 neg-mul-1 log-div exp-diff rem-exp-log associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec neg-log clear-num flip-+
Counts
3 → 189
Calls
3 calls:
118.0ms
(exp (- (/ (+ f n) (- f n))))
96.0ms
(log (exp (- (/ (+ f n) (- f n)))))
31.0ms
(/ (+ f n) (- f n))

series388.0ms

Counts
3 → 9
Calls
3 calls:
170.0ms
(exp (- (/ (+ f n) (- f n))))
117.0ms
(log (exp (- (/ (+ f n) (- f n)))))
101.0ms
(/ (+ f n) (- f n))

simplify3.0s

Counts
198 → 198
Iterations

Useful iterations: 3 (792.0ms)

IterNodesCost
02052177
13491907
27411837
318321804
done50011804

prune584.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

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)))

rewrite431.0ms

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 expm1-log1p-u distribute-rgt-neg-in pow-prod-down associate-/r/ log1p-expm1-u 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 → 286
Calls
4 calls:
94.0ms
(* (- (+ f n)) (+ f n))
111.0ms
(cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))))
44.0ms
(/ (+ f n) (pow (- f n) 3))
154.0ms
(* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (- (+ f n)) (+ f n))
156.0ms
(cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))))
102.0ms
(/ (+ f n) (pow (- f n) 3))
130.0ms
(* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))

simplify3.3s

Counts
298 → 298
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
03025794
18625200
249624656
done50004656

prune831.0ms

Pruning

4 alts after pruning (1 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 (1.0ms)

IterNodesCost
0911
11511
21611
done1611

end0.0ms

sample628.0ms

Algorithm
intervals
Results
431.0ms8000×body80valid