Details

Time bar (total: 2.2s)

sample25.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.6b

localize8.0ms

Local error

Found 2 expressions with local error:

3.4b
(- (* x x) (* (* y 4.0) y))
31.1b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite15.0ms

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:
3.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* x x) (* (* y 4.0) y))
60.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify183.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0221583
1964535
24814534
35001534

prune112.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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)))))
3.4b
(- (* x x) (* (* y 4.0) y))
31.1b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite51.0ms

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:
18.0ms
(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
17.0ms
(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
3.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
60.0ms
(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
44.0ms
(- (* x x) (* (* y 4.0) y))
60.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02811237
110671137
250011134

prune265.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

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

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

51.8% (15.5b remaining)

Error of 15.8b against oracle of 0.3b and baseline of 32.4b

bsearch279.0ms

Steps
ItersRangePoint
8
3.047530528666286e+89
2.1241537053097443e+92
3.0944404152107775e+89
8
1.933364594733743e-77
8.217386779769018e-74
9.970510408474918e-75
9
9.460430943576418e-137
8.911523066933264e-132
1.98441937058913e-132
8
-1.1339744629944117e-161
-1.770813970512317e-165
-3.4929772319374073e-162
6
-5.2407857676746225e-101
-1.3034355320647412e-101
-4.388460522981548e-101
7
-5.906728328883236e-65
-2.3197842709371557e-67
-3.2469602603904245e-67
9
-7.976204077621993e-23
-7.867221224566218e-28
-2.5044449303367806e-25
5
-9.126032191279896e+27
-3.314665875535389e+27
-3.9547679581202103e+27

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04229
14229

end0.0ms

sample714.0ms

Algorithm
intervals
Results
573.0ms8000×body80valid