Details

Time bar (total: 1.5s)

sample14.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize7.0ms

Local error

Found 2 expressions with local error:

3.2b
(- (* x x) (* (* y 4.0) y))
31.3b
(/ (- (* 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
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×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)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x x) (* (* y 4.0) y))
61.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify185.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0221583
1964535
24814534
35001534

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

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

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
21.5b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
24.2b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
9×*-un-lft-identity
8×associate-/r/
7×add-cube-cbrt times-frac
6×associate-/r*
5×cbrt-undiv div-exp add-log-exp
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv
3×pow1 distribute-rgt-out--
2×frac-2neg clear-num associate-/l* difference-of-squares
1×sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 68
Calls
3 calls:
36.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
6.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
11.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
50.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
51.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0362890
11736796
25001796

prune141.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

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: 0.5b

regimes150.0ms

Accuracy

54.8% (13.9b remaining)

Error of 14.3b against oracle of 0.3b and baseline of 31.2b

bsearch79.0ms

Steps
ItersRangePoint
9
1.4936937756870574e+199
8.236926075413446e+204
7.769551355955981e+204
10
3.7563366703328326e-05
228158.1220746024
3.80478009492825e-05
4
1.9984803406301314e-117
3.275715382921117e-117
3.0325727461652284e-117
7
1.5727382196602694e-151
1.4804663868730323e-149
4.688852431152933e-150

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03131
13131

end0.0ms

sample361.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid