Details

Time bar (total: 9.1s)

sample326.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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:
33.0ms
(/ (- (+ f n)) (- f n))

series83.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (- (+ f n)) (- f n))

simplify1.7s

Counts
100 → 100
Iterations

Useful iterations: 3 (402.0ms)

IterNodesCost
01351469
12921395
27021365
319071357
done50001357

prune156.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

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)

rewrite134.0ms

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:
38.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
35.0ms
(/ (- (+ f n)) (- f n))
34.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series269.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
71.0ms
(/ (- (+ f n)) (- f n))
85.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify1.2s

Counts
411 → 411
Iterations

Useful iterations: 2 (489.0ms)

IterNodesCost
03248171
19556853
228756311
done50006311

prune460.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ f n)) (- f n))
0.0b
(log1p (expm1 (pow (/ (- (+ f n)) (- f n)) 3)))
0.0b
(pow (/ (- (+ f n)) (- f n)) 3)
0.5b
(expm1 (pow (/ (- (+ f n)) (- f n)) 3))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
230×*-un-lft-identity
180×times-frac
166×add-sqr-sqrt
92×add-cube-cbrt
66×unpow-prod-down cube-prod
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*
9×add-exp-log add-cbrt-cube
6×associate-/r/
5×pow1 associate-/r* log1p-expm1-u
4×expm1-log1p-u add-log-exp
3×pow-unpow flip3-- flip-- div-inv
2×cbrt-undiv distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt
1×cube-div neg-sub0 cube-mult pow-to-exp log1p-udef expm1-log1p pow-pow frac-2neg flip3-+ unpow3 div-sub log1p-expm1 cube-neg clear-num flip-+ expm1-udef sqr-pow
Counts
4 → 274
Calls
4 calls:
31.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(log1p (expm1 (pow (/ (- (+ f n)) (- f n)) 3)))
37.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
1.0ms
(expm1 (pow (/ (- (+ f n)) (- f n)) 3))

series399.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (- (+ f n)) (- f n))
125.0ms
(log1p (expm1 (pow (/ (- (+ f n)) (- f n)) 3)))
81.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
121.0ms
(expm1 (pow (/ (- (+ f n)) (- f n)) 3))

simplify1.2s

Counts
286 → 286
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02575010
18924639
229114273
done50004260

prune485.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
192×*-un-lft-identity
160×add-sqr-sqrt
154×times-frac
149×sqrt-prod
82×add-cube-cbrt
81×associate-*r*
48×distribute-lft-neg-in distribute-rgt-neg-in
31×distribute-lft-out-- difference-of-squares
24×distribute-lft-out
15×associate-*l* associate-/l*
12×neg-mul-1
9×add-exp-log add-cbrt-cube
6×sqrt-div distribute-neg-frac unswap-sqr
5×associate-/r*
4×pow1 associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv expm1-log1p-u frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 235
Calls
2 calls:
119.0ms
(* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)))
34.0ms
(/ (sqrt (- (+ f n))) (- f n))

series193.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)))
106.0ms
(/ (sqrt (- (+ f n))) (- f n))

simplify1.2s

Counts
241 → 241
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02744245
15873700
217523542
done50003488

prune415.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11713
21813
done1813

end0.0ms

sample350.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid