Details

Time bar (total: 1.5s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×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))
3.9b
(- (* x x) (* (* y 4.0) y))
33.2b
(/ (- (* 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
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:
3.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
10.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* x x) (* (* y 4.0) y))
42.0ms
(- (* x x) (* (* y 4.0) y))
64.0ms
(/ (- (* 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

prune137.0ms

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

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 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))))
24.1b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.8b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×*-un-lft-identity
add-cube-cbrt associate-/r/ add-log-exp
times-frac
associate-/r*
cbrt-undiv flip3-+ div-exp flip-+
pow1 prod-exp cbrt-unprod div-inv
distribute-rgt-out--
frac-2neg clear-num associate-/l* difference-of-squares
+-commutative sub-neg flip3-- diff-log sum-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 79
Calls
4 calls:
3.0ms
(+ (* x x) (* (* y 4.0) y))
31.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
10.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
7.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* x x) (* (* y 4.0) y))
71.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
56.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
53.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0396987
11934882
25001881

prune172.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize1.0ms

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

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes109.0ms

Accuracy

52.8% (14.8b remaining)

Error of 15.1b against oracle of 0.3b and baseline of 31.7b

bsearch75.0ms

Steps
ItersRangePoint
10
1.3050405304037743e+225
2.4392265722513685e+235
2.698912270821065e+230
8
1.7418751447075594e+96
6.190468550781134e+98
6.099677126723523e+98
9
1.0098053360773425e-181
5.607263643231625e-173
5.505935899926749e-179

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721
12721

end0.0ms

sample374.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid