Details

Time bar (total: 1.7s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0209
1409
2789
31349
42009
52339
62399
72399

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)))

rewrite18.0ms

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 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg fma-def frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num sum-log div-inv
Counts
3 → 64
Calls
3 calls:
3.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (* x x) (* (* y 4.0) y))
45.0ms
(- (* x x) (* (* y 4.0) y))
74.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0254719
11175657
25001641

prune180.0ms

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 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3))
0.0b
(pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3)
3.9b
(- (* x x) (* (* y 4.0) y))
33.2b
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
add-exp-log add-cbrt-cube
add-log-exp
pow1 div-inv
expm1-log1p-u log1p-expm1-u
pow-unpow associate-/r* associate-/l*
cbrt-undiv cube-div cube-mult flip3-- unpow3 div-exp pow-exp flip-- associate-/l/ rem-cube-cbrt sqr-pow
pow-to-exp sub-neg cbrt-div pow-pow frac-2neg fma-neg pow1/3 diff-log div-sub prod-diff clear-num rem-cbrt-cube
Counts
4 → 140
Calls
4 calls:
8.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3))
7.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3)
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3))
87.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3)
49.0ms
(- (* x x) (* (* y 4.0) y))
73.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04531951
122711831
250021815

prune316.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize3.0ms

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: 0.1b

regimes92.0ms

Accuracy

52.8% (14.8b remaining)

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

bsearch85.0ms

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
02918
12918

end0.0ms

sample353.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid