Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify25.0ms

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: 31.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.5b
(- (* x x) (* (* y 4.0) y))
31.3b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite48.0ms

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:
11.0ms
(+ (* x x) (* (* y 4.0) y))
8.0ms
(- (* x x) (* (* y 4.0) y))
27.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (* x x) (* (* y 4.0) y))
43.0ms
(- (* x x) (* (* y 4.0) y))
56.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0234680
11007622
25001620

prune135.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

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

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

3.5b
(- (* x x) (* (* y 4.0) y))
29.7b
(sqrt (+ (* x x) (* (* y 4.0) y)))
29.7b
(sqrt (+ (* x x) (* (* y 4.0) y)))
30.0b
(/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
flip3-+ flip-+ associate-/l*
rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
8.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
8.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
31.0ms
(/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))

series231.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* x x) (* (* y 4.0) y))
45.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
51.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
92.0ms
(/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))

simplify190.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02741117
110201045
248541032
350021032

prune218.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.3b

regimes118.0ms

Accuracy

56% (13.7b remaining)

Error of 14.2b against oracle of 0.4b and baseline of 31.7b

bsearch155.0ms

Steps
ItersRangePoint
10
3.0077710628296854e+26
3.687524441071998e+41
4.9502099980031536e+39
10
1.6096776765761708e-79
1.523631617599454e-63
1.366181191701136e-63
6
1.2160611135694172e-190
9.2571818059411e-190
9.050450195175466e-190
9
-3.7102722866200435e-146
-3.1945726965174795e-152
-2.9463808085280802e-149
9
-5.28789737177076e+121
-3.898811697184426e+115
-5.810291952691062e+115

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03332
13332

end0.0ms

sample581.0ms

Algorithm
intervals
Results
418.0ms8000×body80valid