Migdal et al, Equation (64)

Time bar (total: 7.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 23 to 13 computations (43.5% saved)

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

sample1.3s (18.1%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 756.0ms
ival-mult: 313.0ms (41.4% of total)
ival-cos: 197.0ms (26% of total)
ival-add: 116.0ms (15.3% of total)
ival-sqrt: 61.0ms (8.1% of total)
ival-div: 55.0ms (7.3% of total)
const: 11.0ms (1.5% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess181.0ms (2.6%)

Algorithm
egg-herbie
Rules
1241×fma-define
680×times-frac
547×fma-neg
460×div-sub
356×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048606
1145562
2421562
31139562
42837562
55639562
66583562
77394562
87471562
97487562
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) (neg.f64 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 th th) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th th (*.f64 a2 a2)))
(*.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 th th)))
(*.f64 (cos.f64 a2) (/.f64 (fma.f64 th th (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th th (*.f64 a1 a1)))
Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain121.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
00-0-a2
00-0-(cos.f64 th)
00-0-(*.f64 a2 a2)
00-0-(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
00-0-th
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(*.f64 a1 a1)
00-0-a1
Results
73.0ms512×0valid
Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 13.0ms (36% of total)
ival-cos: 12.0ms (33.2% of total)
ival-sqrt: 4.0ms (11.1% of total)
ival-div: 3.0ms (8.3% of total)
ival-add: 2.0ms (5.5% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 40 to 16 computations (60% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 31 to 21 computations (32.3% saved)

localize147.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a1 a1)
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(cos.f64 th)
cost-diff0
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff0
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(cos.f64 th)
accuracy99.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy98.9%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(cos.f64 th)
accuracy99.9%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
accuracy99.7%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
Rules
29×fma-define
25×*-commutative
associate-/l*
associate-*r/
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022300
137300
264300
398300
4128300
5145300
6149300
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
Results
68.0ms256×0valid
Compiler

Compiled 81 to 15 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-fma: 11.0ms (35.9% of total)
ival-mult: 7.0ms (22.8% of total)
ival-cos: 6.0ms (19.6% of total)
ival-div: 3.0ms (9.8% of total)
ival-sqrt: 2.0ms (6.5% of total)
ival-add: 1.0ms (3.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.4%)

Counts
8 → 140
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cos.f64 th)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (fma.f64 a2 a2 (*.f64 a1 a1))>
#<alt (*.f64 a1 a1)>
Outputs
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
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#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
th
@-inf
(/ (cos th) (sqrt 2))
2.0ms
th
@inf
(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
1.0ms
a2
@0
(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
1.0ms
a2
@0
(/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))
1.0ms
th
@0
(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))

rewrite265.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
937×prod-diff
808×log1p-expm1-u
732×expm1-log1p-u
117×add-cube-cbrt
116×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022193
1301173
23735173
Stop Event
node limit
Counts
8 → 258
Calls
Call 1
Inputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a1 #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 a1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a1 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a1 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 1 binary64)))

simplify217.0ms (3.1%)

Algorithm
egg-herbie
Rules
449×times-frac
448×associate-*r*
444×associate-*l*
394×cube-prod
278×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051518303
1118216687
2575316657
Stop Event
node limit
Counts
398 → 290
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a1 #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 a1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a1 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a1 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 1 binary64)))
Outputs
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
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#s(literal 1 binary64)
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(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 a1 #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 a1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 a1 #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(pow.f64 a1 #s(literal 2 binary64))
(cbrt.f64 (pow.f64 a1 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 a1 #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)))
(pow.f64 a1 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(pow.f64 a1 #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 1 binary64)))
(pow.f64 a1 #s(literal 2 binary64))

eval41.0ms (0.6%)

Compiler

Compiled 6648 to 1051 computations (84.2% saved)

prune55.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3439352
Fresh000
Picked112
Done000
Total34410354
Accuracy
100.0%
Counts
354 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.1%
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
66.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.7%
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
99.4%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
75.5%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
66.9%
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 304 to 221 computations (27.3% saved)

localize405.0ms (5.8%)

Algorithm
egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
cost-diff0
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
cost-diff0
(cos.f64 th)
cost-diff0
(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
cost-diff0
(cos.f64 th)
cost-diff0
(neg.f64 (cos.f64 th))
cost-diff64
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
cost-diff256
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(*.f64 a2 a2)
cost-diff0
(*.f64 a1 a1)
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 a1 a1)
cost-diff0
(cos.f64 th)
cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
accuracy100.0%
(cos.f64 th)
accuracy100.0%
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
accuracy99.9%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
accuracy75.5%
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
accuracy100.0%
(cos.f64 th)
accuracy99.7%
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy98.9%
(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
accuracy98.4%
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
accuracy100.0%
(cos.f64 th)
accuracy99.7%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy99.7%
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
accuracy98.4%
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
accuracy100.0%
(*.f64 a1 a1)
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(*.f64 a1 a1)
accuracy100.0%
(cos.f64 th)
accuracy99.7%
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy99.7%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
Rules
1393×fma-define
604×fma-neg
534×unsub-neg
405×times-frac
346×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039811
196789
2299773
31062773
42337773
54606773
66281773
76890773
87202773
97264773
107275773
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(cos.f64 th)
th
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(cos.f64 th)
th
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(cos.f64 th)
th
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
(hypot.f64 a1 a2)
a1
a2
#s(literal 4 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(cos.f64 th)
th
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))))
(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(cos.f64 th)
th
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(cos.f64 th)
th
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
(hypot.f64 a1 a2)
a1
a2
#s(literal 4 binary64)
#s(literal 2 binary64)
Results
162.0ms256×0valid
Compiler

Compiled 231 to 33 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 60.0ms (58% of total)
ival-pow: 15.0ms (14.5% of total)
ival-div: 8.0ms (7.7% of total)
ival-cos: 6.0ms (5.8% of total)
ival-hypot: 4.0ms (3.9% of total)
ival-sqrt: 4.0ms (3.9% of total)
ival-cbrt: 2.0ms (1.9% of total)
ival-neg: 2.0ms (1.9% of total)
ival-add: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series50.0ms (0.7%)

Counts
17 → 276
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))>
#<alt (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))>
#<alt (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))>
#<alt (*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))>
#<alt (*.f64 a2 a2)>
#<alt (neg.f64 (cos.f64 th))>
#<alt (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))>
Outputs
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
Calls

69 calls:

TimeVariablePointExpression
5.0ms
a1
@inf
(sqrt (/ (pow (sqrt (+ (* a1 a1) (* a2 a2))) 4) 2))
2.0ms
th
@inf
(/ (cos th) (cbrt (pow 2 3/2)))
2.0ms
th
@0
(/ (cos th) (cbrt (pow 2 3/2)))
1.0ms
a1
@0
(* (/ (cos th) (cbrt (pow 2 3/2))) (+ (* a1 a1) (* a2 a2)))
1.0ms
a2
@0
(* (/ (cos th) (cbrt (pow 2 3/2))) (+ (* a1 a1) (* a2 a2)))

rewrite90.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
278×associate-*r*
277×log1p-expm1-u
277×expm1-log1p-u
261×add-cube-cbrt
259×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039443
1635443
Stop Event
node limit
Counts
17 → 520
Calls
Call 1
Inputs
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(*.f64 a2 a2)
(neg.f64 (cos.f64 th))
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
Outputs
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -4 binary64)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal -4 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64)))
(+.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -4 binary64))) (*.f64 (+.f64 a1 a2) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a1 a2)) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a1 a2)))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -4 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -4 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -4 binary64)) (-.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))) (-.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))
(pow.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a2 a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -4 binary64) a2 a1)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -4 binary64)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal -4 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
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(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -4 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
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(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -4 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
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(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal -4 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64)))
(+.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -4 binary64))) (*.f64 (+.f64 a1 a2) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a1 a2)) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a1 a2)))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -4 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(/.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -4 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -4 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -4 binary64)) (-.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))) (-.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))
(pow.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(neg.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a2 a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -4 binary64) a2 a1)
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
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(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
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(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
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(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal -4 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
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(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a1 a2)) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a1 a2)))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -4 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(pow.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a2 a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -4 binary64) a2 a1)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -4 binary64))
(pow.f64 a2 #s(literal -4 binary64))
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal -4 binary64)))
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(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -4 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -4 binary64)))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

simplify361.0ms (5.1%)

Algorithm
egg-herbie
Rules
482×associate-+r+
455×associate-+l+
406×fma-define
351×times-frac
349×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048026032
1135524666
2447823637
Stop Event
node limit
Counts
796 → 418
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal -4 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64)))
(+.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -4 binary64))) (*.f64 (+.f64 a1 a2) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a1 a2)) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a1 a2)))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -4 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(/.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -4 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -4 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -4 binary64)) (-.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))) (-.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))
(pow.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(neg.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a2 a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -4 binary64) a2 a1)
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal -4 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64)))
(+.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -4 binary64))) (*.f64 (+.f64 a1 a2) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a1 a2)) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a1 a2)))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -4 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(pow.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a2 a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -4 binary64) a2 a1)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -4 binary64))
(pow.f64 a2 #s(literal -4 binary64))
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal -4 binary64)))
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -4 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -4 binary64)))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
Outputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))
(*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
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(*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))
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(fma.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 (cos.f64 th) #s(literal -4 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(cos.f64 th)
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(+.f64 (cos.f64 th) #s(literal 4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
#s(literal 1 binary64)
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) (cos.f64 #s(literal 0 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(-.f64 (cos.f64 th) #s(literal 1 binary64))
(+.f64 (cos.f64 th) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -4 binary64)))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
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(*.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 #s(literal -4 binary64) (+.f64 a1 a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
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(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (fma.f64 a2 (-.f64 a2 a1) a1)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1)))
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(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 #s(literal -4 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 #s(literal -4 binary64) (fma.f64 a2 (-.f64 a2 a1) a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) a2))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) a2))))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (+.f64 a1 a2))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -4 binary64))
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(-.f64 (neg.f64 a2) a1)
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(log.f64 (exp.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
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(log.f64 (+.f64 (exp.f64 (+.f64 a1 a2)) #s(literal -5 binary64)))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
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(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(+.f64 (+.f64 a1 a2) #s(literal 0 binary64))
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#s(literal 1 binary64)
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(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2))))))
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(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -4 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
#s(literal 1 binary64)
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (fma.f64 a2 (-.f64 a2 a1) a1) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 #s(literal 1 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 #s(literal 1 binary64) (fma.f64 a2 (-.f64 a2 a1) a1))
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(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -4 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -4 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
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(/.f64 (+.f64 a1 a2) (-.f64 (*.f64 a2 (-.f64 a1 a2)) a1))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
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(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
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(/.f64 (+.f64 a1 a2) (fma.f64 (+.f64 a1 #s(literal 1 binary64)) a2 a1))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -4 binary64))
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(log.f64 (exp.f64 (+.f64 a1 a2)))
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(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
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(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(+.f64 (+.f64 a1 a2) #s(literal 0 binary64))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
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(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(fma.f64 a2 a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
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(-.f64 (*.f64 a1 #s(literal -4 binary64)) a2)
(fma.f64 a1 #s(literal -4 binary64) (neg.f64 a2))
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 a2 #s(literal -4 binary64) a1)
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
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(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
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(*.f64 (cos.f64 th) (*.f64 #s(literal -4 binary64) (+.f64 a1 a2)))
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (fma.f64 a2 (-.f64 a2 a1) a1)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1)))
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(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 #s(literal -4 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 #s(literal -4 binary64) (fma.f64 a2 (-.f64 a2 a1) a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) a2))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) a2))))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
#s(literal 1 binary64)
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#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (+.f64 a1 a2))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(log.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)) #s(literal -5 binary64)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
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(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal -4 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -4 binary64))
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(-.f64 a1 a2)
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(+.f64 a1 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a2 a1)
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(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
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(fma.f64 #s(literal -4 binary64) (-.f64 a1 a2) (*.f64 a2 #s(literal 0 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
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(+.f64 (*.f64 a2 #s(literal 0 binary64)) (fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64))))
(fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64)))
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(*.f64 (+.f64 a1 a2) (*.f64 #s(literal -4 binary64) (+.f64 a1 a2)))
(*.f64 #s(literal -4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2)))))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
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(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
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(*.f64 (+.f64 a1 a2) (*.f64 #s(literal -4 binary64) (+.f64 a1 a2)))
(*.f64 #s(literal -4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2)))))
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(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
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(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(-.f64 a1 a2)
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(-.f64 (neg.f64 a2) a1)
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(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
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(*.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -4 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1)))
(*.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(*.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(pow.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(neg.f64 (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (+.f64 (exp.f64 (+.f64 a1 a2)) #s(literal -5 binary64)))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(+.f64 (+.f64 a1 a2) #s(literal 0 binary64))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(fma.f64 a2 a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 a1 #s(literal -4 binary64) a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -4 binary64)) a2)
(fma.f64 a1 #s(literal -4 binary64) (neg.f64 a2))
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 a2 #s(literal -4 binary64) a1)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 a2)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 a2 #s(literal 1 binary64)))
(+.f64 a2 #s(literal 5 binary64))
(pow.f64 a2 #s(literal -4 binary64))
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
a2
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(+.f64 a2 #s(literal 0 binary64))
(log1p.f64 (expm1.f64 a2))
a2
(exp.f64 (log.f64 a2))
a2
(exp.f64 (*.f64 (log.f64 a2) #s(literal -4 binary64)))
(pow.f64 a2 #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 (cos.f64 th) #s(literal -4 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(cos.f64 th)
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(+.f64 (cos.f64 th) #s(literal 4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -4 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
#s(literal 1 binary64)
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) (cos.f64 #s(literal 0 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(-.f64 (cos.f64 th) #s(literal 1 binary64))
(+.f64 (cos.f64 th) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -4 binary64)))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

eval88.0ms (1.3%)

Compiler

Compiled 11411 to 1668 computations (85.4% saved)

prune119.0ms (1.7%)

Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New65025675
Fresh224
Picked325
Done011
Total65530685
Accuracy
100.0%
Counts
685 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
2.7%
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
2.7%
(-.f64 (neg.f64 a2) a1)
2.7%
(-.f64 a1 a2)
5.6%
(+.f64 a2 a1)
15.5%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
99.7%
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
66.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.9%
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
66.9%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.5%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
61.5%
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
75.4%
(*.f64 (cos.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
48.2%
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
48.4%
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
47.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.7%
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.5%
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.3%
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.0%
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.9%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.1%
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.0%
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.1%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
5.6%
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
2.7%
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
Compiler

Compiled 657 to 455 computations (30.7% saved)

localize347.0ms (4.9%)

Algorithm
egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
cost-diff-6272
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
cost-diff0
(*.f64 a2 a2)
cost-diff0
(*.f64 a1 a1)
cost-diff-6272
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
cost-diff-6272
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
cost-diff0
(*.f64 a2 a2)
cost-diff0
(*.f64 a1 a1)
cost-diff0
(neg.f64 a2)
cost-diff0
(*.f64 (neg.f64 a2) a2)
cost-diff64
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
cost-diff0
(+.f64 a2 a1)
cost-diff0
(*.f64 a1 a1)
cost-diff0
(cos.f64 th)
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy100.0%
(*.f64 a2 a2)
accuracy100.0%
(*.f64 a1 a1)
accuracy99.8%
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy100.0%
(*.f64 a2 a2)
accuracy100.0%
(*.f64 a1 a1)
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy100.0%
(*.f64 (neg.f64 a2) a2)
accuracy100.0%
(neg.f64 a2)
accuracy100.0%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
accuracy100.0%
(+.f64 a2 a1)
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
accuracy100.0%
(cos.f64 th)
accuracy99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
Rules
2126×fma-define
730×fma-neg
323×distribute-lft-in
297×unsub-neg
276×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026417
161413
2136413
3244413
4302413
5394413
6730413
71032413
81771413
92693413
103749413
114347413
124761413
134953413
144953413
155131413
166139413
176139413
186141413
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 th)
th
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(+.f64 a2 a1)
a2
a1
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
a1
(*.f64 (neg.f64 a2) a2)
(neg.f64 a2)
a2
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(literal 1/6 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(literal 3/4 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 th)
th
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(+.f64 a2 a1)
(+.f64 a1 a2)
a2
a1
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a1 (*.f64 a2 (neg.f64 a2)))
(-.f64 a1 (*.f64 a2 a2))
a1
(*.f64 (neg.f64 a2) a2)
(*.f64 a2 (neg.f64 a2))
(neg.f64 a2)
a2
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
Results
85.0ms256×0valid
Compiler

Compiled 112 to 20 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-cos: 22.0ms (48.3% of total)
ival-mult: 12.0ms (26.3% of total)
...c/correct-round.rkt:125:19: 4.0ms (8.8% of total)
ival-add: 4.0ms (8.8% of total)
ival-sqrt: 2.0ms (4.4% of total)
ival-neg: 1.0ms (2.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
10 → 192
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))>
#<alt (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 a2 a1)>
#<alt (+.f64 a1 (*.f64 (neg.f64 a2) a2))>
#<alt (neg.f64 a2)>
#<alt (*.f64 (neg.f64 a2) a2)>
#<alt (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))>
#<alt (*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
Outputs
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
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#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3/4 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3/4 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3/4 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
a2
@inf
(* 1/6 (+ (* a1 a1) (* a2 a2)))
0.0ms
th
@0
(* (* (sqrt 1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
0.0ms
a1
@inf
(* 1/6 (+ (* a1 a1) (* a2 a2)))
0.0ms
a2
@inf
(* (neg a2) a2)
0.0ms
a1
@inf
(* 3/4 (+ (* a1 a1) (* a2 a2)))

rewrite174.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1042×log1p-expm1-u
487×expm1-log1p-u
184×associate-*r*
176×add-cube-cbrt
175×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026212
1382179
25776179
Stop Event
node limit
Counts
10 → 270
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 a2 a1)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(neg.f64 a2)
(*.f64 (neg.f64 a2) a2)
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 a2 a1)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 a2 a1)))
(*.f64 (+.f64 a1 a2) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (cbrt.f64 (+.f64 a1 a2)) (pow.f64 (cbrt.f64 (+.f64 a1 a2)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a1 a2)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 a1 a2)))
(*.f64 (sqrt.f64 (+.f64 a1 a2)) (sqrt.f64 (+.f64 a1 a2)))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))))
(*.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (-.f64 a1 a2))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))) (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a2 a1) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 a1 a2))))
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a2
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(exp.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))) (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(/.f64 (*.f64 #s(literal 3/4 binary64) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 3/4 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 3/4 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/4 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 3/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 9/16 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(fma.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))

simplify284.0ms (4%)

Algorithm
egg-herbie
Rules
624×fma-neg
544×associate-*r*
509×associate-*l*
335×fma-define
229×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066115326
1155514164
2638314155
Stop Event
node limit
Counts
462 → 408
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
a1
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a2
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
a2
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
a2
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
a1
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
a1
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))
a1
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
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(*.f64 (+.f64 a1 a2) (-.f64 a1 a2))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))) (exp.f64 (pow.f64 a2 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))) (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(/.f64 (*.f64 #s(literal 3/4 binary64) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 3/4 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 3/4 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/4 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 3/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 9/16 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(fma.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))
Outputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/24 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
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(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
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(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
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(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
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(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
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(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
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(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
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(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
a1
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a2
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
a2
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 (neg.f64 a2) (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 (neg.f64 a2) (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 (neg.f64 a2) (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
a2
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
a1
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (fma.f64 a2 (/.f64 #s(literal -1 binary64) a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
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(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27/64 binary64)) (*.f64 (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27/64 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 9/16 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (-.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64))))))
(/.f64 (*.f64 #s(literal 27/64 binary64) (+.f64 (pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 9/16 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))) (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 #s(literal 3/4 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 3/4 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 9/16 binary64) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 3/4 binary64) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 3/4 binary64) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 3/4 binary64) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 3/4 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 3/4 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 3/4 binary64) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 3/4 binary64) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/4 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 3/4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 9/16 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)))))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(fma.f64 #s(literal 3/4 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(*.f64 #s(literal 3/4 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))

eval75.0ms (1.1%)

Compiler

Compiled 9120 to 1451 computations (84.1% saved)

prune111.0ms (1.6%)

Pruning

35 alts after pruning (27 fresh and 8 done)

PrunedKeptTotal
New6255630
Fresh02222
Picked055
Done033
Total62535660
Accuracy
100.0%
Counts
660 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
2.7%
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
2.7%
(-.f64 (neg.f64 a2) a1)
2.7%
(-.f64 a1 a2)
5.6%
(+.f64 a2 a1)
40.0%
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
15.5%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
99.7%
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
66.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.9%
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
66.9%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.5%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
61.5%
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
75.4%
(*.f64 (cos.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
48.2%
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.2%
(*.f64 #s(literal 3/4 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
48.4%
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
47.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.7%
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.5%
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.3%
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.0%
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.9%
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
21.9%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.1%
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.0%
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.1%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
5.6%
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
2.7%
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
5.6%
a2
3.7%
a1
Compiler

Compiled 686 to 476 computations (30.6% saved)

localize128.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
cost-diff-6272
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
cost-diff0
(*.f64 a2 a2)
cost-diff0
(*.f64 a1 a1)
cost-diff-6272
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
cost-diff-6272
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
cost-diff0
(*.f64 a2 a2)
cost-diff0
(*.f64 a1 a1)
cost-diff0
(+.f64 a1 a2)
cost-diff0
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
cost-diff0
(cos.f64 th)
cost-diff256
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
cost-diff6528
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy100.0%
(*.f64 a2 a2)
accuracy100.0%
(*.f64 a1 a1)
accuracy99.7%
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy100.0%
(*.f64 a2 a2)
accuracy100.0%
(*.f64 a1 a1)
accuracy100.0%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy100.0%
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
accuracy100.0%
(+.f64 a1 a2)
accuracy100.0%
(cos.f64 th)
accuracy99.7%
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy98.9%
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy98.4%
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
Rules
80×fma-define
51×*-commutative
29×associate-*r/
27×associate-*l/
22×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027414
155396
2120390
3215390
4305390
5375390
6397390
7398390
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(cos.f64 th)
th
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
a1
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 a2)
a1
a2
#s(literal -4 binary64)
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(literal -1/8 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(literal 2/3 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
Outputs
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
a1
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 a2)
a1
a2
#s(literal -4 binary64)
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
Results
77.0ms256×0valid
Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 15.0ms (30.9% of total)
ival-cos: 9.0ms (18.6% of total)
ival-mult: 9.0ms (18.6% of total)
...c/correct-round.rkt:125:19: 7.0ms (14.4% of total)
ival-div: 6.0ms (12.4% of total)
ival-add: 3.0ms (6.2% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
7 → 138
Calls
Call 1
Inputs
#<alt (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (+.f64 a1 a2)>
#<alt (/.f64 (+.f64 a1 a2) #s(literal -4 binary64))>
#<alt (*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt a2>
#<alt a1>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))>
#<alt a1>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))>
#<alt a1>
#<alt a2>
#<alt (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))>
#<alt (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))>
#<alt (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))>
#<alt a2>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1/4 binary64) a2)>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (*.f64 #s(literal -1/4 binary64) a1)>
#<alt (*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))>
#<alt (*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))>
#<alt (*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) a1)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))>
#<alt (*.f64 #s(literal -1/4 binary64) a1)>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (*.f64 #s(literal -1/4 binary64) a2)>
#<alt (*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))>
#<alt (*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))>
#<alt (*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal 2/3 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2/3 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
Calls

36 calls:

TimeVariablePointExpression
0.0ms
th
@0
(* (/ (cos th) (pow (pow 2 1/4) 2)) (+ (* a1 a1) (* a2 a2)))
0.0ms
a1
@0
(* -1/8 (+ (* a1 a1) (* a2 a2)))
0.0ms
a1
@-inf
(/ (+ a1 a2) -4)
0.0ms
a1
@inf
(* 2/3 (+ (* a1 a1) (* a2 a2)))
0.0ms
a1
@inf
(* -1/8 (+ (* a1 a1) (* a2 a2)))

rewrite179.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1114×log1p-expm1-u
648×expm1-log1p-u
168×add-cube-cbrt
166×add-exp-log
165×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027168
1374147
25324147
Stop Event
node limit
Counts
7 → 212
Calls
Call 1
Inputs
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 a1 a2)
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64))) (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)))) (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 2/3 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 2/3 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)))

simplify200.0ms (2.8%)

Algorithm
egg-herbie
Rules
419×associate-*l*
411×fma-neg
396×associate-*r*
256×*-commutative
253×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060913408
1153812323
2582712301
Stop Event
node limit
Counts
350 → 346
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
a2
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
a1
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
a1
a2
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
a2
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 #s(literal -1/4 binary64) a2)
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) a1)
(*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) a1)
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))
(*.f64 #s(literal -1/4 binary64) a1)
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) a2)
(*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) a2)
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))
(*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64))) (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)))) (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 2/3 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 2/3 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
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a2
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
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a1
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a1
a2
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
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a2
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64))))
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(*.f64 #s(literal -1/4 binary64) a2)
(*.f64 a2 #s(literal -1/4 binary64))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 a1 a2))
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(*.f64 #s(literal -1/4 binary64) (+.f64 a1 a2))
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(*.f64 #s(literal 2/3 binary64) (fabs.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)))))
(*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))))
(*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2/3 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(fma.f64 #s(literal 2/3 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))

eval69.0ms (1%)

Compiler

Compiled 9909 to 1487 computations (85% saved)

prune111.0ms (1.6%)

Pruning

37 alts after pruning (26 fresh and 11 done)

PrunedKeptTotal
New6155620
Fresh12122
Picked145
Done178
Total61837655
Accuracy
100.0%
Counts
655 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
2.7%
(/.f64 a2 #s(literal -4 binary64))
2.6%
(/.f64 a1 #s(literal -4 binary64))
2.7%
(-.f64 (neg.f64 a2) a1)
2.7%
(-.f64 a1 a2)
5.6%
(+.f64 a2 a1)
40.0%
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
15.5%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
21.9%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/8 binary64))
99.7%
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
66.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.9%
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
66.9%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.5%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
61.5%
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
75.4%
(*.f64 (cos.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
48.2%
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
48.4%
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.3%
(*.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
47.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.7%
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.5%
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.3%
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.9%
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
21.9%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.9%
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
22.1%
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.0%
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
22.1%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
5.6%
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
2.7%
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
5.6%
a2
3.7%
a1
Compiler

Compiled 822 to 394 computations (52.1% saved)

regimes105.0ms (1.5%)

Counts
47 → 1
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/4 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/8 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

8 calls:

14.0ms
(*.f64 a2 a2)
14.0ms
a1
14.0ms
th
13.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
13.0ms
a2
Results
AccuracySegmentsBranch
99.7%1a1
99.7%1a2
99.7%1th
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(cos.f64 th)
99.7%1(*.f64 a1 a1)
99.7%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes61.0ms (0.9%)

Counts
34 → 2
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/4 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/8 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

6 calls:

10.0ms
a2
10.0ms
(*.f64 a1 a1)
10.0ms
a1
10.0ms
th
9.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
69.1%2a1
79.5%2a2
80.9%2th
81.5%2(cos.f64 th)
69.1%2(*.f64 a1 a1)
79.5%2(*.f64 a2 a2)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes53.0ms (0.8%)

Counts
30 → 1
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/4 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/8 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

6 calls:

9.0ms
a2
9.0ms
(cos.f64 th)
9.0ms
th
9.0ms
a1
8.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
61.5%1a1
61.5%1(*.f64 a1 a1)
61.5%1a2
61.5%1(*.f64 a2 a2)
61.5%1th
61.5%1(cos.f64 th)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes45.0ms (0.6%)

Counts
29 → 3
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/4 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/8 binary64))
Outputs
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

5 calls:

10.0ms
th
9.0ms
(*.f64 a2 a2)
8.0ms
a1
8.0ms
a2
7.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
48.4%1a2
48.4%1(*.f64 a2 a2)
48.4%1a1
48.4%1(*.f64 a1 a1)
52.6%3th
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Counts
25 → 3
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

8.0ms
th
Results
AccuracySegmentsBranch
51.5%3th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.5%)

Counts
23 → 3
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

5 calls:

8.0ms
a1
8.0ms
th
7.0ms
a2
6.0ms
(*.f64 a2 a2)
6.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
46.9%1a1
46.9%1a2
46.9%1(*.f64 a2 a2)
46.9%1(*.f64 a1 a1)
51.3%3th
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

7.0ms
th
Results
AccuracySegmentsBranch
51.3%3th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
21 → 3
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

6.0ms
th
Results
AccuracySegmentsBranch
51.3%3th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.2%)

Counts
20 → 3
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
Calls

1 calls:

10.0ms
th
Results
AccuracySegmentsBranch
51.3%3th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts
15 → 3
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
Calls

1 calls:

5.0ms
th
Results
AccuracySegmentsBranch
51.3%3th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
Calls

1 calls:

5.0ms
th
Results
AccuracySegmentsBranch
51.2%3th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
Outputs
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
Calls

1 calls:

4.0ms
th
Results
AccuracySegmentsBranch
50.1%3th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
Outputs
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
Calls

3 calls:

5.0ms
th
4.0ms
a1
4.0ms
a2
Results
AccuracySegmentsBranch
15.5%1a2
15.5%1a1
17.8%2th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
Outputs
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
Calls

3 calls:

4.0ms
th
4.0ms
a1
4.0ms
a2
Results
AccuracySegmentsBranch
5.6%1a2
5.6%1a1
5.6%1th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
a1
a2
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a1 a2))
Outputs
a2
Calls

3 calls:

4.0ms
a2
3.0ms
th
3.0ms
a1
Results
AccuracySegmentsBranch
5.6%1th
5.6%1a1
5.6%1a2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
a1
Outputs
a1
Calls

3 calls:

1.0ms
a1
1.0ms
th
1.0ms
a2
Results
AccuracySegmentsBranch
3.7%1a1
3.7%1a2
3.7%1th
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-0.039404793835254824
0.022088626818772796
Results
19.0ms240×0valid
Compiler

Compiled 432 to 302 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (53.4% of total)
ival-div: 2.0ms (17.8% of total)
ival-sqrt: 2.0ms (17.8% of total)
ival-add: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
8.47137338534123e+132
1.893132733826413e+139
16.0ms
7.820055907836638e+91
1.1830283556404625e+93
Results
28.0ms240×0valid
Compiler

Compiled 418 to 287 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 8.0ms (38.5% of total)
ival-mult: 8.0ms (38.5% of total)
ival-div: 2.0ms (9.6% of total)
ival-sqrt: 2.0ms (9.6% of total)
ival-add: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.47137338534123e+132
1.893132733826413e+139
15.0ms
7.820055907836638e+91
1.1830283556404625e+93
Results
29.0ms240×0valid
Compiler

Compiled 418 to 287 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 8.0ms (38% of total)
ival-mult: 7.0ms (33.3% of total)
ival-div: 3.0ms (14.3% of total)
ival-sqrt: 2.0ms (9.5% of total)
ival-add: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.47137338534123e+132
1.893132733826413e+139
14.0ms
7.820055907836638e+91
1.1830283556404625e+93
Results
28.0ms240×0valid
Compiler

Compiled 406 to 269 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 8.0ms (42.2% of total)
ival-mult: 6.0ms (31.6% of total)
ival-div: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.47137338534123e+132
1.893132733826413e+139
16.0ms
7.820055907836638e+91
1.1830283556404625e+93
Results
30.0ms240×0valid
Compiler

Compiled 406 to 269 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 10.0ms (46.2% of total)
ival-mult: 6.0ms (27.7% of total)
ival-div: 2.0ms (9.2% of total)
ival-sqrt: 2.0ms (9.2% of total)
ival-add: 1.0ms (4.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.47137338534123e+132
1.893132733826413e+139
15.0ms
7.820055907836638e+91
1.1830283556404625e+93
Results
28.0ms240×0valid
Compiler

Compiled 406 to 269 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 8.0ms (41.9% of total)
ival-mult: 6.0ms (31.5% of total)
ival-div: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.47137338534123e+132
1.893132733826413e+139
14.0ms
7.820055907836638e+91
1.1830283556404625e+93
Results
28.0ms240×0valid
Compiler

Compiled 388 to 242 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 8.0ms (42.1% of total)
ival-mult: 6.0ms (31.6% of total)
ival-div: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
8.47137338534123e+132
1.893132733826413e+139
14.0ms
7.820055907836638e+91
1.1830283556404625e+93
Results
27.0ms240×0valid
Compiler

Compiled 388 to 242 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 8.0ms (41.9% of total)
ival-mult: 6.0ms (31.4% of total)
ival-div: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
8.47137338534123e+132
1.893132733826413e+139
15.0ms
7.820055907836638e+91
1.1830283556404625e+93
Results
28.0ms240×0valid
Compiler

Compiled 388 to 242 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 8.0ms (39.2% of total)
ival-mult: 8.0ms (39.2% of total)
ival-div: 2.0ms (9.8% of total)
ival-sqrt: 2.0ms (9.8% of total)
ival-add: 1.0ms (4.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.47137338534123e+132
1.893132733826413e+139
14.0ms
7.820055907836638e+91
1.1830283556404625e+93
Results
27.0ms240×0valid
Compiler

Compiled 343 to 212 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 8.0ms (42% of total)
ival-mult: 6.0ms (31.5% of total)
ival-div: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
1.0342314526480822e-7
4.646922887331972
Results
19.0ms144×0valid
Compiler

Compiled 199 to 143 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 8.0ms (56.2% of total)
ival-mult: 4.0ms (28.1% of total)
ival-div: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
ival-sqrt: 1.0ms (7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.3%)

Algorithm
egg-herbie
Rules
18×*-commutative
12×if-if-or-not
+-commutative
sub-neg
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0761258
11111250
21171250
31201250
41211250
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 (cos.f64 th) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (+.f64 a1 (*.f64 (neg.f64 a2) a2)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (<=.f64 th #s(literal 6980579422424269/4503599627370496 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 a1 a2)) (+.f64 a1 (*.f64 (neg.f64 a2) a2)))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
a2
a1
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 (cos.f64 th) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 2/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (or (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (not (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2/3 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/4 binary64)))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (or (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (not (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/4 binary64)))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/4 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 3/8 binary64))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/4 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1/3 binary64))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/4 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1/4 binary64))))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (or (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (not (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/4 binary64)))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (or (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (not (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/3 binary64)))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (or (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (not (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/2 binary64)))
(if (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)) (+.f64 a1 (*.f64 (neg.f64 a2) a2)) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (or (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (not (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (+.f64 a1 (*.f64 a2 (neg.f64 a2))))
(if (or (<=.f64 th #s(literal 91999999999999996464225521239412416210592960330864406222294185352286084221107701692248358912 binary64)) (not (<=.f64 th #s(literal 354999999999999995326024204768051928466700698138612046771482126677016468795149308298524257791322675470295214701562680798332651447517184 binary64)))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (-.f64 a1 (*.f64 a2 a2)))
(if (<=.f64 th #s(literal 6980579422424269/4503599627370496 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 a1 a2)) (+.f64 a1 (*.f64 (neg.f64 a2) a2)))
(if (<=.f64 th #s(literal 6980579422424269/4503599627370496 binary64)) (*.f64 (-.f64 a1 a2) #s(literal -4 binary64)) (+.f64 a1 (*.f64 a2 (neg.f64 a2))))
(if (<=.f64 th #s(literal 6980579422424269/4503599627370496 binary64)) (*.f64 (-.f64 a1 a2) #s(literal -4 binary64)) (-.f64 a1 (*.f64 a2 a2)))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(*.f64 (-.f64 a1 a2) #s(literal -4 binary64))
a2
a1

soundness950.0ms (13.5%)

Rules
1241×fma-define
1042×log1p-expm1-u
937×prod-diff
808×log1p-expm1-u
732×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048026032
1135524666
2447823637
022193
1301173
23735173
048606
1145562
2421562
31139562
42837562
55639562
66583562
77394562
87471562
97487562
026212
1382179
25776179
039443
1635443
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 812 to 215 computations (73.5% saved)

preprocess99.0ms (1.4%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 1196 to 496 computations (58.5% saved)

end0.0ms (0%)

Profiling

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