Details

Time bar (total: 1.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify19.0ms

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: 33.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.7b
(- (* x x) (* (* y 4.0) y))
33.3b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×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:
4.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (* x x) (* (* y 4.0) y))
43.0ms
(- (* x x) (* (* y 4.0) y))
66.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0234680
11007622
25001620

prune142.0ms

Pruning

4 alts after pruning (4 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

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
0.0b
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
24.0b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.1b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt associate-/r/ add-log-exp
7×times-frac
6×associate-/r*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 prod-exp cbrt-unprod div-inv
3×distribute-rgt-out--
2×frac-2neg clear-num associate-/l* difference-of-squares
1×+-commutative sub-neg flip3-- diff-log sum-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 79
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
13.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
8.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
6.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x x) (* (* y 4.0) y))
76.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
60.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
55.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0396987
11934882
25001881

prune176.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes100.0ms

Accuracy

57.7% (13.2b remaining)

Error of 13.5b against oracle of 0.3b and baseline of 31.6b

bsearch67.0ms

Steps
ItersRangePoint
9
2.748295283882316e+117
1.3865496230902253e+125
1.3654381330978534e+125
8
7.344920503473452e-154
2.0989967246494558e-149
6.379754297460478e-150

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02618
12618

end0.0ms

sample351.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid