Details

Time bar (total: 1.7s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify25.0ms

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: 31.9b

localize11.0ms

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)))

rewrite16.0ms

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 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ fma-neg diff-log div-sub div-exp prod-diff clear-num flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
4.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* x x) (* (* y 4.0) y))
64.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0237617
11114565
25002555

prune147.0ms

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

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

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

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

3.2b
(- (* x x) (* (* y 4.0) y))
14.5b
(/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma x x (* (* y 4.0) y)))
16.1b
(sqrt (- (* x x) (* (* y 4.0) y)))
16.1b
(sqrt (- (* x x) (* (* y 4.0) y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div add-cbrt-cube associate-/l* add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-exp prod-diff clear-num div-inv
Counts
4 → 93
Calls
4 calls:
3.0ms
(- (* x x) (* (* y 4.0) y))
7.0ms
(/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma x x (* (* y 4.0) y)))
5.0ms
(sqrt (- (* x x) (* (* y 4.0) y)))
4.0ms
(sqrt (- (* x x) (* (* y 4.0) y)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* x x) (* (* y 4.0) y))
124.0ms
(/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma x x (* (* y 4.0) y)))
59.0ms
(sqrt (- (* x x) (* (* y 4.0) y)))
63.0ms
(sqrt (- (* x x) (* (* y 4.0) y)))

simplify120.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
02311062
18281005
23657996
35003995

prune283.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.5b

regimes142.0ms

Accuracy

54.9% (13.9b remaining)

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

bsearch86.0ms

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
02826
12826

end0.0ms

sample360.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid