Details

Time bar (total: 2.4s)

analyze239.0ms (10.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14

sample17.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body80valid

simplify484.0ms (20.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
07817
17817

prune10.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls

1 calls:

23.0ms
(/ (+ f n) (- n f))

series17.0ms (0.7%)

Counts
1 → 3
Calls

1 calls:

17.0ms
(/ (+ f n) (- n f))

simplify72.0ms (3%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04917532
14917532

prune73.0ms (3.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh000
Picked101
Done000
Total45449

Merged error: 0.0b

Counts
49 → 4

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite30.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
associate-/r/
add-exp-log associate-/r* add-cbrt-cube
pow1 associate-/l* add-log-exp
log-prod flip3-- flip-- div-inv
associate-/l/
cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls

3 calls:

9.0ms
(log (exp (/ (+ f n) (- n f))))
8.0ms
(exp (/ (+ f n) (- n f)))
7.0ms
(/ (+ f n) (- n f))

series33.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(exp (/ (+ f n) (- n f)))
8.0ms
(log (exp (/ (+ f n) (- n f))))
8.0ms
(/ (+ f n) (- n f))

simplify72.0ms (3%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049561165
149561165

prune165.0ms (7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1251126
Fresh123
Picked101
Done000
Total1273130

Merged error: 0b

Counts
130 → 3

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(log (pow E (/ (+ f n) (- n f))))
0.0b
(pow E (/ (+ f n) (- n f)))
0.0b
(/ (+ f n) (- n f))

rewrite24.0ms (1%)

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
45×add-sqr-sqrt
40×times-frac
27×add-cube-cbrt
26×pow-unpow
11×distribute-lft-out
distribute-lft-out-- difference-of-squares
add-exp-log
log-prod
unpow-prod-down
associate-/r* add-cbrt-cube
pow1 rem-log-exp pow-exp associate-/r/ associate-/l*
add-log-exp
pow-to-exp e-exp-1 flip3-- flip-- div-inv associate-/l/ sqr-pow
cbrt-undiv pow-pow frac-2neg flip3-+ div-exp clear-num log-pow flip-+
Counts
3 → 105
Calls

3 calls:

9.0ms
(/ (+ f n) (- n f))
8.0ms
(pow E (/ (+ f n) (- n f)))
3.0ms
(log (pow E (/ (+ f n) (- n f))))

series43.0ms (1.8%)

Counts
3 → 9
Calls

3 calls:

17.0ms
(pow E (/ (+ f n) (- n f)))
17.0ms
(log (pow E (/ (+ f n) (- n f))))
8.0ms
(/ (+ f n) (- n f))

simplify60.0ms (2.5%)

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050001138

prune154.0ms (6.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh022
Picked011
Done000
Total1143117

Merged error: 0b

Counts
117 → 3

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite36.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
add-exp-log add-cbrt-cube
flip3-- associate-/r* flip-- div-inv
pow1 associate-/l*
pow-unpow add-log-exp
cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls

3 calls:

10.0ms
(cbrt (pow (/ (+ f n) (- n f)) 3))
10.0ms
(pow (/ (+ f n) (- n f)) 3)
7.0ms
(/ (+ f n) (- n f))

series36.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(pow (/ (+ f n) (- n f)) 3)
12.0ms
(cbrt (pow (/ (+ f n) (- n f)) 3))
8.0ms
(/ (+ f n) (- n f))

simplify43.0ms (1.8%)

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
055592496

prune272.0ms (11.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh011
Picked011
Done011
Total1943197

Merged error: 0b

Counts
197 → 3

regimes86.0ms (3.6%)

Accuracy

Total 0.0b remaining (45.2%)

Threshold costs 0.0b (45.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12210

end0.0ms (0%)

sample340.0ms (14.4%)

Algorithm
intervals
Results
207.0ms8000×body80valid

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