Details

Time bar (total: 2.4s)

analyze246.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 99.21875%

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify398.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:
10.0ms
(/ (neg (+ f n)) (- f n))

series17.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(/ (neg (+ f n)) (- f n))

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22916733
35001733

prune82.0ms

Filtered
60 candidates to 98 candidates (-63.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh000
Picked011
Done000
Total94599

Merged error: 0.0b

Counts
99 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 168
Calls
2 calls:
10.0ms
(/ -1 (/ (- f n) (+ f n)))
7.0ms
(/ (- f n) (+ f n))

series16.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ -1 (/ (- f n) (+ f n)))
8.0ms
(/ (- f n) (+ f n))

simplify72.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05231449
125451405
250011287

prune115.0ms

Filtered
97 candidates to 174 candidates (-79.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1713174
Fresh303
Picked101
Done101
Total1763179

Merged error: 0b

Counts
179 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
241×*-un-lft-identity
230×times-frac
169×add-sqr-sqrt
156×exp-prod
135×log-pow
111×add-cube-cbrt
36×distribute-lft-out
34×associate-/r*
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
9×pow1
8×add-exp-log add-cbrt-cube div-inv associate-/l*
7×flip3-+ flip-+
5×add-log-exp
3×log-prod div-sub
2×cbrt-undiv frac-2neg exp-diff div-exp clear-num associate-/l/
1×log-div flip3-- rem-log-exp flip-- rem-exp-log
Counts
4 → 255
Calls
4 calls:
8.0ms
(exp (/ (- f n) (+ f n)))
12.0ms
(/ -1 (log (exp (/ (- f n) (+ f n)))))
9.0ms
(log (exp (/ (- f n) (+ f n))))
7.0ms
(/ (- f n) (+ f n))

series40.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(exp (/ (- f n) (+ f n)))
8.0ms
(/ -1 (log (exp (/ (- f n) (+ f n)))))
8.0ms
(log (exp (/ (- f n) (+ f n))))
12.0ms
(/ (- f n) (+ f n))

simplify61.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05522154
120281928
250031757

prune196.0ms

Filtered
160 candidates to 267 candidates (-66.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2670267
Fresh022
Picked011
Done000
Total2673270

Merged error: 0b

Counts
270 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
730×times-frac
622×*-un-lft-identity
450×add-sqr-sqrt
312×add-cube-cbrt
172×cbrt-prod
166×unpow-prod-down cube-prod
86×distribute-lft-out
69×distribute-lft-out-- difference-of-squares
39×associate-/r/
30×associate-/r*
22×div-inv
17×add-exp-log flip3-+ add-cbrt-cube flip-+
8×associate-/l*
7×cbrt-undiv div-exp
5×pow1
4×add-log-exp
3×pow-unpow pow-exp rem-cube-cbrt
2×cube-div cube-mult frac-2neg unpow3 clear-num associate-/l/ sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow pow1/3 div-sub flip-- rem-cbrt-cube
Counts
4 → 538
Calls
4 calls:
10.0ms
(/ -1 (/ (- f n) (+ f n)))
22.0ms
(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
7.0ms
(/ (- f n) (+ f n))
18.0ms
(pow (/ -1 (/ (- f n) (+ f n))) 3)

series52.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ -1 (/ (- f n) (+ f n)))
22.0ms
(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
8.0ms
(/ (- f n) (+ f n))
13.0ms
(pow (/ -1 (/ (- f n) (+ f n))) 3)

simplify97.0ms

Algorithm
egg-herbie
Counts
550 → 550
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014645323
150025133

prune296.0ms

Filtered
196 candidates to 550 candidates (-180.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New5500550
Fresh011
Picked011
Done011
Total5503553

Merged error: 0b

Counts
553 → 3

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106
1106

end0.0ms

analyze38.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 99.21875%

sample293.0ms

Algorithm
intervals
Results
181.0ms8000×body80valid

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