Details

Time bar (total: 11.0s)

sample70.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6328
done328

prune3.0ms

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))

rewrite43.0ms

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

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ (- (+ f n)) (- f n))

simplify660.0ms

Counts
98 → 98
Iterations

Useful iterations: done (655.0ms)

IterNodesCost
01331451
13111378
210601348
done50001341

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite133.0ms

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:
36.0ms
(/ (- f n) (- (+ f n)))
70.0ms
(/ 1 (/ (- f n) (- (+ f n))))

series177.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(/ (- f n) (- (+ f n)))
76.0ms
(/ 1 (/ (- f n) (- (+ f n))))

simplify750.0ms

Counts
388 → 388
Iterations

Useful iterations: done (724.0ms)

IterNodesCost
03897352
110936269
done50006171

prune527.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite483.0ms

Algorithm
rewrite-expression-head
Rules
1254×times-frac
1007×*-un-lft-identity
783×add-sqr-sqrt
517×add-cube-cbrt
406×exp-prod
224×distribute-lft-neg-in distribute-rgt-neg-in
204×log-pow
133×distribute-lft-out-- difference-of-squares
112×distribute-lft-out
78×associate-/r*
56×neg-mul-1
25×associate-/r/
22×distribute-neg-frac
17×add-exp-log
14×div-inv
11×flip3-+ add-cbrt-cube flip-+
8×div-exp associate-/l*
6×pow1
5×add-log-exp
4×cbrt-undiv
3×log-prod
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub rem-log-exp flip-- rem-exp-log inv-pow
Counts
4 → 808
Calls
4 calls:
129.0ms
(exp (/ 1 (/ (- f n) (- (+ f n)))))
165.0ms
(log (exp (/ 1 (/ (- f n) (- (+ f n))))))
40.0ms
(/ (- f n) (- (+ f n)))
61.0ms
(/ 1 (/ (- f n) (- (+ f n))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(exp (/ 1 (/ (- f n) (- (+ f n)))))
95.0ms
(log (exp (/ 1 (/ (- f n) (- (+ f n))))))
118.0ms
(/ (- f n) (- (+ f n)))
96.0ms
(/ 1 (/ (- f n) (- (+ f n))))

simplify1.1s

Counts
820 → 820
Iterations

Useful iterations: done (1.1s)

IterNodesCost
066613540
1141610583
done500010455

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- f n) (- (+ f n)))
0.0b
(/ 1 (cbrt (pow (/ (- f n) (- (+ f n))) 3)))
0.0b
(cbrt (pow (/ (- f n) (- (+ f n))) 3))
0.0b
(pow (/ (- f n) (- (+ f n))) 3)

rewrite496.0ms

Algorithm
rewrite-expression-head
Rules
1203×times-frac
1101×*-un-lft-identity
837×add-sqr-sqrt
690×cbrt-prod
523×add-cube-cbrt
396×unpow-prod-down cube-prod
264×distribute-lft-neg-in distribute-rgt-neg-in
157×distribute-lft-out-- difference-of-squares
153×associate-/r*
132×distribute-lft-out
66×neg-mul-1
27×associate-/r/
26×distribute-neg-frac
14×div-inv
13×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
8×associate-/l*
6×pow1 cube-mult unpow3 sqr-pow
4×div-exp add-log-exp
3×cbrt-undiv cube-div pow-unpow
2×cbrt-div pow-flip frac-2neg pow1/3 pow-exp clear-num associate-/l/ rem-cube-cbrt
1×pow-to-exp rec-exp flip3-- pow-pow 1-exp div-sub flip-- rem-cbrt-cube inv-pow
Counts
4 → 979
Calls
4 calls:
38.0ms
(/ (- f n) (- (+ f n)))
184.0ms
(/ 1 (cbrt (pow (/ (- f n) (- (+ f n))) 3)))
74.0ms
(cbrt (pow (/ (- f n) (- (+ f n))) 3))
58.0ms
(pow (/ (- f n) (- (+ f n))) 3)

series577.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (- f n) (- (+ f n)))
176.0ms
(/ 1 (cbrt (pow (/ (- f n) (- (+ f n))) 3)))
180.0ms
(cbrt (pow (/ (- f n) (- (+ f n))) 3))
120.0ms
(pow (/ (- f n) (- (+ f n))) 3)

simplify1.3s

Counts
991 → 991
Iterations

Useful iterations: done (1.2s)

IterNodesCost
060423325
1168317434
done500016294

prune1.2s

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

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1128
2138
done138

end0.0ms

sample614.0ms

Algorithm
intervals
Results
364.0ms8000×body80valid