Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 4.8s)

analyze28.0ms (0.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (51.1% of total)
ival-sub: 2.0ms (20.5% of total)
ival-div: 2.0ms (20.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (21.5%)

Results
815.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 474.0ms
ival-mult: 190.0ms (40.1% of total)
ival-div: 137.0ms (28.9% of total)
ival-sub: 132.0ms (27.9% of total)
const: 11.0ms (2.3% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess223.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
1226×fma-neg
669×div-sub
391×associate-/r*
315×distribute-rgt-in
314×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028291
189259
2341175
31787175
44076175
55501175
66266175
76410175
86456175
96530175
107595175
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y))
(/.f64 (-.f64 x (neg.f64 y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)))
(neg.f64 (/.f64 (-.f64 x (neg.f64 y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))))
(/.f64 (-.f64 y x) (*.f64 (*.f64 y #s(literal 2 binary64)) x))
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 x (neg.f64 y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (-.f64 x (neg.f64 y)) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 y))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)))
(/.f64 (-.f64 x (neg.f64 y)) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 y))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 (-.f64 x (neg.f64 y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 y x) (*.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))

explain64.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
650-1(-2.058135967283182e-202 -4.516091961115918e-111)(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
00-0-x
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-(-.f64 x y)
00-0-y
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
Results
42.0ms512×0valid
Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (45.7% of total)
ival-div: 4.0ms (26.1% of total)
ival-sub: 3.0ms (19.6% of total)
const: 1.0ms (6.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune186.0ms (3.9%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.3%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
▶100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 20 to 14 computations (30% saved)

localize135.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓cost-diff0
(-.f64 x y)
✓cost-diff128
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy76.3%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
Rules
667×div-sub
514×times-frac
345×unsub-neg
343×fma-define
307×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017131
130131
264131
3141131
4319131
5659131
61378131
74505131
87534131
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Results
37.0ms256×0valid
Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (45.9% of total)
ival-mult: 4.0ms (30.6% of total)
ival-sub: 1.0ms (7.7% of total)
ival-add: 1.0ms (7.7% of total)
const: 1.0ms (7.7% of total)
backward-pass: 0.0ms (0% of total)

series79.0ms (1.6%)

Counts
7 → 105
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 x #s(literal 2 binary64)) y)>
#<alt (-.f64 x y)>
Outputs
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
Calls

33 calls:

TimeVariablePointExpression
61.0ms
y
@-inf
(* (* x 2) y)
1.0ms
x
@-inf
(* x 2)
1.0ms
x
@inf
(/ (- x y) (* (* x 2) y))
1.0ms
y
@0
(+ (/ 1/2 y) (/ -1/2 x))
1.0ms
y
@-inf
(/ (- x y) (* (* x 2) y))

rewrite327.0ms (6.8%)

Algorithm
1×batch-egg-rewrite
Rules
1025×log1p-expm1-u
1025×expm1-log1p-u
254×fma-neg
111×add-exp-log
111×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017124
1239124
24085124
Stop Event
1×node limit
Counts
7 → 242
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 x #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(-.f64 x y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 y x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2 binary64))) y) (*.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x (neg.f64 (*.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 y)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal 2 binary64))) x) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 y (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) y))
(/.f64 (+.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) y) x)
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x))))
(cbrt.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(+.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64))) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x y) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 x y) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) y) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) x) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 x y) (*.f64 x (neg.f64 (*.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 x (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(exp.f64 (log.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))

simplify265.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
578×fma-neg
360×div-sub
357×associate-/r*
337×exp-prod
273×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05819049
113098749
249578694
Stop Event
1×node limit
Counts
347 → 314
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
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(*.f64 (-.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64))) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x y) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 x y) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) y) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) x) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 x y) (*.f64 x (neg.f64 (*.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 x (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) (*.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(exp.f64 (log.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)))
(-.f64 x y)
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(-.f64 x y)
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(-.f64 x y)
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(-.f64 x y)
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 x y)
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(-.f64 x y)
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(-.f64 x y)
(log.f64 (exp.f64 (-.f64 x y)))
(-.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(-.f64 x y)
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(-.f64 x y)
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(-.f64 x y)
(exp.f64 (log.f64 (-.f64 x y)))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(-.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(-.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(-.f64 x y)

eval36.0ms (0.7%)

Compiler

Compiled 4699 to 848 computations (82% saved)

prune47.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3104314
Fresh000
Picked022
Done000
Total3106316
Accuracy
100.0%
Counts
316 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶89.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
✓76.3%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
▶87.5%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
▶49.3%
(/.f64 #s(literal 1/2 binary64) y)
▶52.4%
(/.f64 #s(literal -1/2 binary64) x)
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 60 to 41 computations (31.7% saved)

localize191.0ms (4%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
✓cost-diff256
(/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))
✓cost-diff320
(neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64))))
✓cost-diff6976
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
✓cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
✓cost-diff128
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64))))
✓accuracy89.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
✓accuracy100.0%
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
✓accuracy87.5%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
Rules
584×times-frac
368×distribute-neg-frac
355×unsub-neg
333×sub-neg
316×distribute-lft-out
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026238
150214
2104214
3275214
4893204
52970204
65155204
77505204
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
#s(literal 1/2 binary64)
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
x
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 x y)
y
(neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))
(/.f64 y y)
Outputs
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal -1/2 binary64) x))) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
y
#s(literal -1/2 binary64)
x
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal -1/2 binary64) x))) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 x y)
y
(neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 y y)
#s(literal 1 binary64)
Results
56.0ms256×0valid
Compiler

Compiled 91 to 20 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 17.0ms (51.3% of total)
ival-mult: 10.0ms (30.2% of total)
ival-fma: 3.0ms (9.1% of total)
ival-add: 1.0ms (3% of total)
const: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.3%)

Counts
8 → 168
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))>
#<alt (*.f64 y #s(literal -1/2 binary64))>
#<alt (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))>
#<alt (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))>
Outputs
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/ (+ 1/2 (/ (* y -1/2) x)) y)
1.0ms
y
@inf
(/ (+ 1/2 (/ (* y -1/2) x)) y)
1.0ms
y
@-inf
(/ (+ 1/2 (/ (* y -1/2) x)) y)
0.0ms
y
@0
(/ (* y -1/2) x)
0.0ms
x
@inf
(/ (+ 1/2 (/ (* y -1/2) x)) y)

rewrite301.0ms (6.3%)

Algorithm
1×batch-egg-rewrite
Rules
896×log1p-expm1-u
847×expm1-log1p-u
443×prod-diff
124×add-log-exp
124×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024187
1340149
24146149
Stop Event
1×node limit
Counts
8 → 564
Calls
Call 1
Inputs
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(*.f64 y #s(literal -1/2 binary64))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (sqrt.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (cbrt.f64 y)))
(pow.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) y))
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(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 y (neg.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))

simplify466.0ms (9.7%)

Algorithm
1×egg-herbie
Rules
701×fma-neg
372×associate-*r*
323×+-commutative
294×associate-*l*
277×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092732575
1210726365
2680525833
Stop Event
1×node limit
Counts
732 → 594
Calls
Call 1
Inputs
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(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 y))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 y #s(literal 2 binary64)) x) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 y #s(literal 2 binary64)) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) y))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 y #s(literal 2 binary64)) x) y)
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) y))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 y #s(literal 2 binary64)) x) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) x)

eval237.0ms (4.9%)

Compiler

Compiled 16752 to 1601 computations (90.4% saved)

prune95.0ms (2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New6711672
Fresh000
Picked134
Done022
Total6726678
Accuracy
100.0%
Counts
678 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.5%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x) y)
✓76.3%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓87.5%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
✓49.3%
(/.f64 #s(literal 1/2 binary64) y)
✓52.4%
(/.f64 #s(literal -1/2 binary64) x)
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 54 to 39 computations (27.8% saved)

localize41.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)
✓cost-diff-6272
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x) y)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) y)
✓accuracy100.0%
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)
✓accuracy87.5%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x) y)
Rules
4×fma-define
3×*-commutative
1×associate-/l/
1×+-commutative
1×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014120
121120
227120
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
Outputs
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (*.f64 y x))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
Results
23.0ms256×0valid
Compiler

Compiled 40 to 10 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (42.1% of total)
ival-mult: 4.0ms (42.1% of total)
ival-add: 1.0ms (10.5% of total)
const: 1.0ms (10.5% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.3%)

Counts
4 → 45
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
Outputs
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y x))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))>
Calls

18 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ (/ (+ (* -1/2 y) (* 1/2 x)) x) y)
3.0ms
x
@inf
(/ (/ (+ (* -1/2 y) (* 1/2 x)) x) y)
1.0ms
y
@-inf
(/ (/ (+ (* -1/2 y) (* 1/2 x)) x) y)
1.0ms
x
@-inf
(/ (/ (+ (* -1/2 y) (* 1/2 x)) x) y)
1.0ms
y
@inf
(/ (/ (+ (* -1/2 y) (* 1/2 x)) x) y)

rewrite222.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
1010×log1p-expm1-u
1010×expm1-log1p-u
523×log-prod
289×fma-define
156×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01489
117489
2267189
Stop Event
1×node limit
Counts
4 → 121
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) y))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 y)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (cbrt.f64 y)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) y))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) y))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))

simplify177.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
757×fma-define
506×fma-neg
419×distribute-lft-in
393×exp-prod
390×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03115329
16135221
219405221
373295156
Stop Event
1×node limit
Counts
166 → 180
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal -1/2 binary64) x)
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) y))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
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(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 x)))
(/.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
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(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(pow.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 y #s(literal -1/2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))
(*.f64 y #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))
(*.f64 y #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) y))))
(*.f64 y #s(literal -1/2 binary64))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 y #s(literal -1/2 binary64))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 y #s(literal -1/2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 y #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(*.f64 y #s(literal -1/2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)

eval22.0ms (0.5%)

Compiler

Compiled 2907 to 594 computations (79.6% saved)

prune31.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1800180
Fresh000
Picked011
Done055
Total1806186
Accuracy
100.0%
Counts
186 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.5%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x) y)
✓76.3%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓87.5%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
✓49.3%
(/.f64 #s(literal 1/2 binary64) y)
✓52.4%
(/.f64 #s(literal -1/2 binary64) x)
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 115 to 67 computations (41.7% saved)

regimes9.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) x) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 x y) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x #s(literal 2 binary64)))))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
Outputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -1/2 binary64) x)
Calls

2 calls:

2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
75.3%3x
78.3%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
Outputs
(/.f64 #s(literal -1/2 binary64) x)
Calls

2 calls:

4.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
52.4%1x
52.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.8917652564417942e-25
1.9791098707411696e-22
7.0ms
-1.213523007825119e-52
-4.584736188767154e-53
Results
12.0ms208×0valid
Compiler

Compiled 172 to 141 computations (18% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (48% of total)
ival-div: 2.0ms (32% of total)
ival-sub: 1.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×if-if-or-not
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02186
12786
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(if (<=.f64 y #s(literal -3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 7656353255721115/42535295865117307932921825928971026432 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(if (<=.f64 y #s(literal -3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 7656353255721115/42535295865117307932921825928971026432 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(if (or (<=.f64 y #s(literal -3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (not (<=.f64 y #s(literal 7656353255721115/42535295865117307932921825928971026432 binary64)))) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) x)

soundness502.0ms (10.4%)

Rules
1226×fma-neg
669×div-sub
391×associate-/r*
315×distribute-rgt-in
314×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028291
189259
2341175
31787175
44076175
55501175
66266175
76410175
86456175
96530175
107595175
Stop Event
1×done
1×node limit
Compiler

Compiled 328 to 69 computations (79% saved)

preprocess33.0ms (0.7%)

Compiler

Compiled 94 to 54 computations (42.6% saved)

end0.0ms (0%)

Profiling

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