Details

Time bar (total: 1.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.0b
(- (* x x) (* (* y 4.0) y))
29.3b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-log-exp
add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
9.0ms
(+ (* x x) (* (* y 4.0) y))
8.0ms
(- (* x x) (* (* y 4.0) y))
28.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* x x) (* (* y 4.0) y))
37.0ms
(- (* x x) (* (* y 4.0) y))
58.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0234680
11007622
25001620

prune149.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
0.0b
(+ (* x x) (* (* y 4.0) y))
3.0b
(- (* x x) (* (* y 4.0) y))
29.3b
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
div-exp add-log-exp
flip3-- flip-- div-inv associate-/l*
pow1
cbrt-undiv
rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
+-commutative sub-neg pow-flip diff-log sum-log inv-pow
Counts
4 → 138
Calls
4 calls:
28.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
9.0ms
(+ (* x x) (* (* y 4.0) y))
11.0ms
(- (* x x) (* (* y 4.0) y))
37.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
39.0ms
(+ (* x x) (* (* y 4.0) y))
40.0ms
(- (* x x) (* (* y 4.0) y))
61.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04612225
123262037
250021901

prune264.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

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 (1.0ms)

IterNodesCost
000

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize2.0ms

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 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes110.0ms

Accuracy

50% (15.8b remaining)

Error of 16.3b against oracle of 0.5b and baseline of 32.1b

bsearch93.0ms

Steps
ItersRangePoint
8
3.3504692594488246e+158
8.331200023837404e+162
4.259308201205469e+159
7
8.6207886912118e+146
3.7685194907562906e+148
3.283484558940019e+148
9
3.432819419428024e+74
2.4506113479041125e+80
4.052279685526439e+75
4
7.871715836462862e-59
1.4159714013589731e-58
1.0370554762646008e-58
5
2.6969309460405752e-133
5.49136690714583e-133
3.121103623042389e-133

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04249
14849
25349
35349

end0.0ms

sample392.0ms

Algorithm
intervals
Results
218.0ms8000×body80valid