Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×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: 36.9b

localize7.0ms

Local error

Found 2 expressions with local error:

4.1b
(- (* x x) (* (* y 4.0) y))
36.2b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite37.0ms

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:
7.0ms
(- (* x x) (* (* y 4.0) y))
28.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* x x) (* (* y 4.0) y))
52.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify179.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0221583
1964535
24814534
35001534

prune101.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.1b

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 (2.0ms)

IterNodesCost
000

prune2.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.1b

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

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.1b

localize8.0ms

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))))
26.4b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
27.5b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite113.0ms

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:
69.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
15.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
27.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series160.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
46.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
51.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0362890
11736796
25001796

prune139.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.1b

regimes135.0ms

Accuracy

60.2% (12.5b remaining)

Error of 13.0b against oracle of 0.5b and baseline of 32.0b

bsearch129.0ms

Steps
ItersRangePoint
9
8.141052175510364e+213
6.276683215667635e+218
8.302697128000236e+214
9
5.114487467149218e-32
4.1986140450380155e-26
5.208795050924957e-32
11
9.614289768565405e-141
3.8943143542676343e-118
7.128557148919164e-122
10
3.860944868694943e-275
1.8451471718112643e-262
6.446504696114426e-266

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02932
12932

end0.0ms

sample400.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid