Details

Time bar (total: 1.8s)

analyze11.0ms

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

sample21.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
0502719

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 30.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.7b
(- (* x x) (* (* y 4.0) y))
30.3b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 54
Calls
3 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
4.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* x x) (* (* y 4.0) y))
7.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049431204
149431204

prune96.0ms

Filtered
52 candidates to 63 candidates (-21.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New59463
Fresh000
Picked101
Done000
Total60464

Merged error: 0.7b

Counts
64 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.7b

Counts
4 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
2.5b
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
17.0b
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
20.8b
(/ x (+ (* x x) (* y (* y 4.0))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
112×add-sqr-sqrt
98×add-cube-cbrt *-un-lft-identity
59×associate-*r*
25×add-exp-log add-cbrt-cube
16×associate-/r*
11×div-inv
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r/ associate-/l*
5×prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
4 → 199
Calls
4 calls:
9.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
15.0ms
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
7.0ms
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
6.0ms
(/ x (+ (* x x) (* y (* y 4.0))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
12.0ms
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
9.0ms
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
9.0ms
(/ x (+ (* x x) (* y (* y 4.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051413744

prune353.0ms

Filtered
167 candidates to 211 candidates (-26.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2110211
Fresh022
Picked011
Done011
Total2114215

Merged error: 0.7b

Counts
215 → 4

localize11.0ms

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)
4.7b
(- (* x x) (* y (* y 4.0)))
30.3b
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

rewrite35.0ms

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/
9×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1 flip3-+ flip-+ div-inv
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult flip3-- unpow3 div-exp pow-exp flip-- associate-/l/ rem-cube-cbrt sqr-pow
1×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:
9.0ms
(cbrt (pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3))
9.0ms
(pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3)
4.0ms
(- (* x x) (* y (* y 4.0)))
8.0ms
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3))
15.0ms
(pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3)
7.0ms
(- (* x x) (* y (* y 4.0)))
12.0ms
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051093881

prune174.0ms

Filtered
85 candidates to 151 candidates (-77.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1510151
Fresh011
Picked011
Done022
Total1514155

Merged error: 0.7b

Counts
155 → 4

regimes197.0ms

Accuracy

60.9% (12.1b remaining)

Error of 12.5b against oracle of 0.3b and baseline of 31.3b

bsearch32.0ms

Steps
ItersRangePoint
7
1.1225868563146405e+190
1.8114750220155052e+192
4.76257875583899e+191
8
6.804574732867798e-137
1.3332660798701402e-132
3.544760866850198e-134
5
1.5705884548106088e-189
5.7095188147534465e-189
1.913632195396027e-189
0
0.0
1.8033396073205e-320
9.0166980366027e-321

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06571
16571

end0.0ms

sample454.0ms

Algorithm
intervals
Results
332.0ms8000×body80valid

Profiling

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