Details

Time bar (total: 1.6s)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.1b
(- (* x x) (* (* y 4.0) y))
29.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite12.0ms

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 → 44
Calls
2 calls:
4.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify180.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0221583
1964535
24800534
35002534

prune74.0ms

Filtered
39 candidates to 50 candidates (-28.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New47350
Fresh000
Picked101
Done000
Total48351

Merged error: 0.2b

Counts
51 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
0.0b
(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
3.1b
(- (* x x) (* (* y 4.0) y))
29.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
30×exp-prod
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
16×log-pow
add-log-exp
add-exp-log associate-/r/ add-cbrt-cube
pow1
log-prod flip3-+ div-sub associate-/r* flip-+ div-inv associate-/l*
flip3-- exp-diff flip-- associate-/l/
cbrt-undiv sub-neg log-div frac-2neg diff-log div-exp rem-log-exp clear-num rem-exp-log
Counts
4 → 96
Calls
4 calls:
7.0ms
(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
8.0ms
(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series48.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02811237
110671137
250011134

prune183.0ms

Filtered
86 candidates to 108 candidates (-25.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1080108
Fresh022
Picked011
Done000
Total1083111

Merged error: 0.2b

Counts
111 → 3

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

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033

Merged error: 0.2b

Counts
3 → 3

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0.2b

Counts
3 → 3

regimes232.0ms

Accuracy

58.7% (13.0b remaining)

Error of 13.4b against oracle of 0.4b and baseline of 32.0b

bsearch136.0ms

Steps
ItersRangePoint
7
2.506733638237016e+143
1.975766087132906e+145
2.275944003304726e+144
10
4.835656751501826e+75
2.8043309994986596e+85
6.72873807731743e+75
8
3.86743173871955e+53
8.06955063091006e+56
4.596990974724443e+55
7
8.526579711359708e-94
3.328910364634857e-92
8.625951048299595e-94
9
-9.855918842644483e-112
-2.3641955550476203e-119
-5.532981838940725e-116
9
-8.280527315612045e-43
-7.577060276003741e-50
-4.364186128024546e-48
6
-3.831560156749637e-05
-7.527464205469873e-06
-9.738085791952512e-06
10
-1.8489812531599662e+89
-5.543877588175993e+77
-1.825199663207177e+89
9
-2.0493115376630188e+107
-8.188664309539657e+99
-8.293431200400436e+99

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04544
14544

end0.0ms

sample561.0ms

Algorithm
intervals
Results
347.0ms8000×body80valid

Profiling

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