Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify19.0ms

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: 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)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
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:
8.0ms
(- (* x x) (* (* y 4.0) y))
26.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* x x) (* (* y 4.0) y))
55.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0237617
11114565
25002555

prune128.0ms

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

prune3.0ms

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 (2.0ms)

IterNodesCost
000

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.1b

localize11.0ms

Local error

Found 4 expressions with local error:

1.3b
(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
2.0b
(/ x (/ (fma x x (* (* y 4.0) y)) x))
22.1b
(/ (fma x x (* (* y 4.0) y)) x)
22.5b
(/ (fma x x (* (* y 4.0) y)) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
76×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×associate-/r*
25×add-exp-log add-cbrt-cube
11×cbrt-undiv div-exp
10×div-inv associate-/l*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
prod-exp associate-/r/ cbrt-unprod
Counts
4 → 178
Calls
4 calls:
12.0ms
(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
11.0ms
(/ x (/ (fma x x (* (* y 4.0) y)) x))
5.0ms
(/ (fma x x (* (* y 4.0) y)) x)
5.0ms
(/ (fma x x (* (* y 4.0) y)) y)

series210.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
51.0ms
(/ x (/ (fma x x (* (* y 4.0) y)) x))
57.0ms
(/ (fma x x (* (* y 4.0) y)) x)
56.0ms
(/ (fma x x (* (* y 4.0) y)) y)

simplify91.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06131740
132201580
250011575

prune395.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.1b

regimes65.0ms

Accuracy

53.3% (14.7b remaining)

Error of 15.2b against oracle of 0.5b and baseline of 32.0b

bsearch73.0ms

Steps
ItersRangePoint
7
7732.291311132395
674633.4983844218
257159.25041675757
6
-3.266505295624686e-127
-4.203749169492941e-128
-8.78778202116691e-128
3
-1.4788892529978714e-48
-1.1875653281062552e-48
-1.290862168683379e-48
8
-70725786023593.1
-92979007833.71625
-63251142091289.12

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02912
12912

end0.0ms

sample370.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid