Details

Time bar (total: 1.4s)

analyze12.0ms (0.8%)

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
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
93.7%6.2%0.1%7
96.8%3.1%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample22.0ms (1.5%)

Algorithm
intervals
Results
11.0ms256×body80valid

simplify58.0ms (4.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0502719

prune5.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 32.6b

Counts
2 → 1

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

3.6b
(- (* x x) (* (* y 4.0) y))
32.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite14.0ms (1%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- associate-/r/ flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 43
Calls

2 calls:

9.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
4.0ms
(- (* x x) (* (* y 4.0) y))

series19.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
7.0ms
(- (* x x) (* (* y 4.0) y))

simplify39.0ms (2.8%)

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
055511035

prune91.0ms (6.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New45449
Fresh000
Picked101
Done000
Total46450

Merged error: 0.6b

Counts
50 → 4

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune8.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.6b

Counts
4 → 4

localize11.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3))
0.0b
(pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3)
3.6b
(- (* x x) (* y (* y 4.0)))
32.0b
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

rewrite41.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
10×associate-/r/
add-exp-log add-cbrt-cube
add-log-exp
pow1 flip3-+ flip-+ div-inv
pow-unpow associate-/r* associate-/l*
cbrt-undiv cube-div cube-mult flip3-- unpow3 div-exp pow-exp flip-- associate-/l/ rem-cube-cbrt sqr-pow
pow-to-exp sub-neg cbrt-div pow-pow frac-2neg pow1/3 diff-log div-sub clear-num rem-cbrt-cube
Counts
4 → 139
Calls

4 calls:

12.0ms
(cbrt (pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3))
10.0ms
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
10.0ms
(pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3)
4.0ms
(- (* x x) (* y (* y 4.0)))

series46.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3)
12.0ms
(cbrt (pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3))
12.0ms
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
7.0ms
(- (* x x) (* y (* y 4.0)))

simplify64.0ms (4.5%)

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051093881

prune306.0ms (21.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1501151
Fresh022
Picked101
Done011
Total1514155

Merged error: 0.6b

Counts
155 → 4

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms (0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.6b

Counts
4 → 4

regimes145.0ms (10.3%)

Accuracy

Total 16.9b remaining (97.2%)

Threshold costs 0b (0%)

bsearch50.0ms (3.5%)

Steps
ItersRangePoint
10
4.746825663672089e+94
8.126365717524863e+106
4.8131270733924935e+94
5
3.268221159129294e-78
7.056879611564684e-78
4.713220725682607e-78
8
1.4587092882314642e-92
8.119169510218311e-88
7.964892245268501e-88
8
-4.557525064447076e+34
-5.033619461364182e+30
-5.228661566863015e+31

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06849
16849

end0.0ms (0%)

sample464.0ms (32.9%)

Algorithm
intervals
Results
342.0ms8000×body80valid

Profiling

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