Migdal et al, Equation (64)

Time bar (total: 7.6s)

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 (17.1%)

Results
967.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 715.0ms
ival-mult: 237.0ms (33.1% of total)
ival-cos: 208.0ms (29.1% of total)
ival-div: 148.0ms (20.7% of total)
ival-sqrt: 64.0ms (8.9% of total)
ival-add: 44.0ms (6.2% of total)
const: 12.0ms (1.7% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess203.0ms (2.7%)

Algorithm
egg-herbie
Rules
1241×fma-define
680×times-frac
547×fmm-def
457×div-sub
352×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048606
1145562
2421562
31139562
42837562
55637562
66570562
77382562
87458562
97474562
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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.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 a1 a1 (*.f64 a2 a2)) (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 a1 a1 (*.f64 a2 a2)) (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 a1 a1 (*.f64 a2 a2)) (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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.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))))
Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain144.0ms (1.9%)

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
95.0ms512×0valid
Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 18.0ms (43.4% of total)
ival-cos: 12.0ms (28.9% of total)
ival-div: 4.0ms (9.6% of total)
ival-sqrt: 4.0ms (9.6% of total)
ival-add: 2.0ms (4.8% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 52 to 18 computations (65.4% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.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)

localize104.0ms (1.4%)

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%
(cos.f64 th)
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy99.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy99.0%
(/.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))))
accuracy99.6%
(/.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
54.0ms256×0valid
Compiler

Compiled 81 to 15 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 17.0ms (48.1% of total)
ival-cos: 6.0ms (17% of total)
<compiled-spec>: 4.0ms (11.3% of total)
ival-div: 3.0ms (8.5% of total)
ival-add: 2.0ms (5.7% of total)
ival-sqrt: 2.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts
9 → 164
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 (+.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)))>
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#<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 (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 (+.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 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

45 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)))

rewrite346.0ms (4.6%)

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
022217
1301192
23735192
Stop Event
node limit
Counts
9 → 293
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)))
(+.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)))))
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(/.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)))

simplify283.0ms (3.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
052520254
1120118660
2577618630
Stop Event
node limit
Counts
457 → 298
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)))))
(+.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 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))))))
(/.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))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/2 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 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
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(-.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 (fma.f64 a1 a1 (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 (fma.f64 a1 a1 (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 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (fma.f64 a1 a1 (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)))))
(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 (/.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 (fma.f64 a1 a1 (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 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 a1 a1 (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 (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 (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 (fma.f64 a1 a1 (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)))
(/.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 (fma.f64 a1 a1 (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)))
(/.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 (fma.f64 a1 a1 (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)))
(/.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 (fma.f64 a1 a1 (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)))
(/.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 (fma.f64 a1 a1 (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)))
(/.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 (fma.f64 a1 a1 (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)))
(/.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 (fma.f64 a1 a1 (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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(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #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 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 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))))
(-.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 (-.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 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #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)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #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))))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(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 #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 6 binary64)) (pow.f64 a2 #s(literal 6 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 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 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 (-.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 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 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 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 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 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 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 (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 (+.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 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 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 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 6 binary64)) (pow.f64 a2 #s(literal 6 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 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 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 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 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 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 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 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 (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 (-.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 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 a1 a1 (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))))
(fma.f64 a1 a1 (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))))
(fma.f64 a1 a1 (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)))
(fma.f64 a1 a1 (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))

eval43.0ms (0.6%)

Compiler

Compiled 6755 to 1043 computations (84.6% saved)

prune62.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New35010360
Fresh000
Picked112
Done000
Total35111362
Accuracy
100.0%
Counts
362 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 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)))
99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
65.0%
(*.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)))
99.3%
(*.f64 (*.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 a1 a1) (*.f64 a2 a2)))
99.5%
(*.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)))
99.6%
(*.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)))
99.1%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
78.9%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
65.1%
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 338 to 243 computations (28.1% saved)

localize494.0ms (6.5%)

Algorithm
egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
cost-diff6784
(*.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))))
cost-diff0
(cos.f64 th)
cost-diff0
(pow.f64 a2 #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
cost-diff0
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 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-diff-6336
(*.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))
accuracy99.7%
(*.f64 (*.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 a1 a1) (*.f64 a2 a2)))
accuracy99.0%
(*.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))))
accuracy99.0%
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
accuracy98.4%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(cos.f64 th)
accuracy99.8%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
accuracy99.6%
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
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)))
accuracy99.6%
(*.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%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
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%
(cos.f64 th)
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
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)))
accuracy99.6%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
Rules
656×fmm-def
566×unsub-neg
537×fma-define
432×times-frac
347×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037752
1103718
2366686
31265686
42650686
55131686
67355686
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 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (*.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 a1 a1) (*.f64 a2 a2)))
(*.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 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(cos.f64 th)
th
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
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 (pow.f64 a2 #s(literal 2 binary64))))
(*.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 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
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 (pow.f64 a2 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (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 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
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 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (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 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
a2
(/.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 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (*.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 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.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 (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)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(cos.f64 th)
th
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
a2
Results
245.0ms256×0valid
Compiler

Compiled 233 to 31 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 18.0ms (34.3% of total)
ival-pow: 14.0ms (26.7% of total)
ival-div: 8.0ms (15.2% of total)
ival-cos: 6.0ms (11.4% of total)
ival-sqrt: 2.0ms (3.8% of total)
ival-neg: 2.0ms (3.8% of total)
ival-add: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series74.0ms (1%)

Counts
18 → 212
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 (/.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)) (cos.f64 th))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))>
#<alt (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))>
#<alt (*.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))))>
#<alt (*.f64 (*.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 a1 a1) (*.f64 a2 a2)))>
#<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 a2 #s(literal 2 binary64))>
#<alt (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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)))>
#<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)))))))))>
#<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 (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))))))))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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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#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))>
#<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)))))))))>
#<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 (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))))))))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.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))>
#<alt (-.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))>
#<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

66 calls:

TimeVariablePointExpression
45.0ms
th
@inf
(/ (cos th) (pow 2 1/4))
4.0ms
th
@0
(/ (cos th) (pow 2 1/4))
1.0ms
a2
@0
(/ (* (pow a2 2) (cos th)) (sqrt 2))
1.0ms
th
@0
(* (* (pow 2 -1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
1.0ms
th
@inf
(/ (* (pow a2 2) (cos th)) (sqrt 2))

rewrite162.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
302×associate-*r*
267×log1p-expm1-u
267×expm1-log1p-u
258×add-cube-cbrt
256×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037422
1616422
Stop Event
node limit
Counts
18 → 421
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)))
(/.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)) (cos.f64 th))
(/.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) (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 (/.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 a1 a1) (*.f64 a2 a2)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(*.f64 a2 a2)
(neg.f64 (cos.f64 th))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
Outputs
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 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 -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 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 -2 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 -2 binary64)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
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(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.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 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
(/.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 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(pow.f64 a2 #s(literal -2 binary64))
(pow.f64 a2 #s(literal 1/3 binary64))
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 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 -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 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 -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -2 binary64) a2)
(*.f64 (*.f64 a2 #s(literal -2 binary64)) a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)

simplify279.0ms (3.7%)

Algorithm
egg-herbie
Rules
400×associate-+l+
362×associate-+r+
348×times-frac
327×fma-define
326×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046218539
1124717783
2412617102
Stop Event
node limit
Counts
633 → 435
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))))
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(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))
(-.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))
(-.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))
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(*.f64 #s(literal -1 binary64) (cos.f64 th))
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(*.f64 #s(literal -1 binary64) (cos.f64 th))
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(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
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(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
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(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
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(sqrt.f64 (cos.f64 th))
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
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(log1p.f64 (expm1.f64 (cos.f64 th)))
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(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
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#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
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(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
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(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(+.f64 (*.f64 (*.f64 a1 #s(literal -2 binary64)) (+.f64 a1 a2)) (*.f64 (*.f64 a2 #s(literal -2 binary64)) (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
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(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -2 binary64)) (-.f64 (*.f64 a2 #s(literal -2 binary64)) (*.f64 (*.f64 a1 #s(literal -2 binary64)) (*.f64 a2 #s(literal -2 binary64))))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 (*.f64 a1 #s(literal -2 binary64)) (*.f64 a2 #s(literal -2 binary64))) (-.f64 (*.f64 a1 #s(literal -2 binary64)) (*.f64 a2 #s(literal -2 binary64))))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 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 -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 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)))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) #s(literal -2 binary64)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a1 #s(literal -2 binary64) (*.f64 a2 #s(literal -2 binary64)))
(fma.f64 a2 a2 a1)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -2 binary64) a2 a1)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 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 -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 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 -2 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 -2 binary64)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.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 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
(/.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 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(-.f64 #s(literal 0 binary64) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) #s(literal -2 binary64))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 #s(literal -2 binary64) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 a2 #s(literal -2 binary64)))
(*.f64 (cos.f64 th) (neg.f64 a2))
(*.f64 (cos.f64 th) (/.f64 #s(literal -2 binary64) a2))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 (*.f64 a2 (cos.f64 th)) #s(literal -2 binary64))
(*.f64 (*.f64 a2 (cos.f64 th)) (cos.f64 th))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(*.f64 (*.f64 a2 #s(literal -2 binary64)) (cos.f64 th))
(*.f64 (neg.f64 a2) (cos.f64 th))
(*.f64 (/.f64 #s(literal -2 binary64) a2) (cos.f64 th))
(pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 a2 (cos.f64 th)))
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(log.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 a2) (cos.f64 th))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 a2 (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 a2 (cos.f64 th)))
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(log.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 a2) (cos.f64 th))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 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 -2 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 -2 binary64)))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 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 -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 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 -2 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 -2 binary64)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.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 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
(/.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 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(pow.f64 a2 #s(literal -2 binary64))
(pow.f64 a2 #s(literal 1/3 binary64))
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 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 -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 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 -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -2 binary64) a2)
(*.f64 (*.f64 a2 #s(literal -2 binary64)) a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)
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 (+.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)))
(+.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 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (*.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))))) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (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 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 -2 binary64) (cos.f64 th))
(+.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(cos.f64 th)
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 (cos.f64 th) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (cos.f64 th))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 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 -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 th))
(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 -2 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 -2 binary64)))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(*.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))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(fma.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (fma.f64 a1 #s(literal -2 binary64) a2))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))) (cos.f64 th))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(cos.f64 th)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))) (/.f64 (cos.f64 th) #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 th) #s(literal -2 binary64)) (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.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 a1 (-.f64 a2 (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.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 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.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 a1 (-.f64 a2 (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
#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 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a1) a2))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(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 -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(-.f64 a1 a2)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a1 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 (+.f64 a2 (fma.f64 (neg.f64 a2) a2 a2)))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 (neg.f64 a2) a2))
(+.f64 a2 (+.f64 a1 (-.f64 a2 (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 a1 #s(literal -2 binary64)) (*.f64 a2 #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(+.f64 (*.f64 a2 #s(literal -2 binary64)) (*.f64 a1 #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(+.f64 (fma.f64 #s(literal -2 binary64) a1 (neg.f64 (*.f64 a2 #s(literal -2 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) (*.f64 a2 #s(literal -2 binary64))))
(+.f64 (+.f64 (*.f64 a2 #s(literal 2 binary64)) (*.f64 a2 #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (-.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) (-.f64 a1 a2) (*.f64 a2 #s(literal 0 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -2 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) (*.f64 a2 #s(literal -2 binary64))))
(+.f64 (+.f64 (*.f64 a2 #s(literal 2 binary64)) (*.f64 a2 #s(literal -2 binary64))) (fma.f64 a1 a1 (*.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 a2 #s(literal 0 binary64)) (fma.f64 a1 a1 (*.f64 #s(literal 2 binary64) a2)))
(fma.f64 a1 a1 (*.f64 #s(literal 2 binary64) 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))))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -2 binary64))) (*.f64 (+.f64 a1 a2) (*.f64 a2 #s(literal -2 binary64))))
(*.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (+.f64 a1 a2)))
(*.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)))
(*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2)))))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 a1 #s(literal -2 binary64)) (+.f64 a1 a2)) (*.f64 (*.f64 a2 #s(literal -2 binary64)) (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (+.f64 a1 a2)))
(*.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)))
(*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2)))))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 (+.f64 a2 #s(literal 1 binary64)) a1))
(+.f64 (+.f64 a1 a2) #s(literal 3 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
#s(literal 1 binary64)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (-.f64 a2 (-.f64 (*.f64 a1 a2) a1))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (-.f64 a2 (-.f64 (*.f64 a1 a2) a1))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)))
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(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1))))
(/.f64 (+.f64 a1 a2) (neg.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(neg.f64 (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (-.f64 (neg.f64 a2) (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (*.f64 a1 a2) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)))
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(/.f64 (+.f64 a1 a2) (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 a1 a2)) (*.f64 a1 (*.f64 #s(literal -2 binary64) (*.f64 a2 #s(literal -2 binary64))))))
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(/.f64 (+.f64 a1 a2) (fma.f64 #s(literal -2 binary64) (+.f64 a1 a2) (*.f64 a1 (*.f64 #s(literal -4 binary64) a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a1 a2) (fma.f64 (+.f64 a1 #s(literal 1 binary64)) a2 a1))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (+.f64 a1 a2)))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a2) (+.f64 a1 a2))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a1 (/.f64 a2 (+.f64 a1 a2)))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 a1 #s(literal -2 binary64)) (*.f64 a2 #s(literal -2 binary64))) (-.f64 (*.f64 a1 #s(literal -2 binary64)) (*.f64 a2 #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 a1 a2))
(neg.f64 (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(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 -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (+.f64 (exp.f64 (+.f64 a1 a2)) #s(literal -3 binary64)))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.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)
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) #s(literal -2 binary64)))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(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 -2 binary64) (*.f64 a2 #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(fma.f64 a2 a2 a1)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a2 #s(literal -2 binary64) a1)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(cos.f64 th)
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 (cos.f64 th) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (cos.f64 th))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 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)
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(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 th))
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(sqrt.f64 (cos.f64 th))
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(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 #s(literal -2 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 -2 binary64)))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
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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))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(fma.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (fma.f64 a1 #s(literal -2 binary64) a2))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))) (cos.f64 th))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(cos.f64 th)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))) (/.f64 (cos.f64 th) #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 th) #s(literal -2 binary64)) (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.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 a1 (-.f64 a2 (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.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 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.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 a1 (-.f64 a2 (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
#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 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a1) a2))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(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 -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(-.f64 #s(literal 0 binary64) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (neg.f64 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) #s(literal -2 binary64))
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(+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 a2 #s(literal -2 binary64)))
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (*.f64 a2 #s(literal -2 binary64)))
(*.f64 (cos.f64 th) (neg.f64 a2))
(*.f64 (cos.f64 th) (/.f64 #s(literal -2 binary64) a2))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 (cos.f64 th)) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (*.f64 a2 #s(literal -2 binary64)))
(*.f64 (*.f64 a2 (cos.f64 th)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (cos.f64 th) a2))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) a2))))
(*.f64 (*.f64 a2 #s(literal -2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 a2 #s(literal -2 binary64)))
(*.f64 (neg.f64 a2) (cos.f64 th))
(*.f64 (cos.f64 th) (neg.f64 a2))
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(*.f64 (cos.f64 th) (/.f64 #s(literal -2 binary64) a2))
(pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 th) a2) #s(literal -2 binary64))
(pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 th) a2))
(neg.f64 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (neg.f64 a2))
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
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(fabs.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 (cos.f64 th) a2))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) a2)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (cos.f64 th) a2))))
(log.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 a2) (cos.f64 th))))
(log.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 (cos.f64 th)) a2)))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) a2))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 (cos.f64 th) a2)
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
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(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 (cos.f64 th) a2)
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(-.f64 #s(literal 0 binary64) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (neg.f64 a2))
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(/.f64 (/.f64 #s(literal -2 binary64) a2) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (*.f64 (cos.f64 th) a2))
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(*.f64 a2 (/.f64 (cos.f64 th) #s(literal -2 binary64)))
(*.f64 (cos.f64 th) (/.f64 a2 #s(literal -2 binary64)))
(/.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
#s(literal 1 binary64)
(pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 th) a2) #s(literal -2 binary64))
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(cbrt.f64 (*.f64 (cos.f64 th) a2))
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(sqrt.f64 (*.f64 a2 (cos.f64 th)))
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(fabs.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 (cos.f64 th) a2))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) a2)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (cos.f64 th) a2))))
(log.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 a2) (cos.f64 th))))
(log.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 (cos.f64 th)) a2)))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) a2))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 (cos.f64 th) a2)
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 (cos.f64 th) a2)
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 (cos.f64 th) a2)
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) #s(literal -2 binary64)))
(pow.f64 (*.f64 (cos.f64 th) a2) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 (cos.f64 th) #s(literal -2 binary64))
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(cos.f64 th)
(-.f64 (cos.f64 th) #s(literal -2 binary64))
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(+.f64 #s(literal 2 binary64) (cos.f64 th))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
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(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 th))
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(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 -2 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 -2 binary64)))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(cos.f64 th)
(-.f64 (cos.f64 th) #s(literal -2 binary64))
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(+.f64 #s(literal 2 binary64) (cos.f64 th))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
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(/.f64 (cos.f64 th) #s(literal -2 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 -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 th))
(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 -2 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 -2 binary64)))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(*.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))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(fma.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (fma.f64 a1 #s(literal -2 binary64) a2))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal 2 binary64))
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(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))) (cos.f64 th))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(cos.f64 th)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))) (/.f64 (cos.f64 th) #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 th) #s(literal -2 binary64)) (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (-.f64 a2 (-.f64 (*.f64 a1 a2) a1)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.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 a1 (-.f64 a2 (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.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 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.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 a1 (-.f64 a2 (*.f64 (cos.f64 th) (*.f64 a1 a2))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
#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 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
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(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a1) a2))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(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 -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 a2)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 a2 #s(literal 1 binary64)))
(+.f64 a2 #s(literal 3 binary64))
(pow.f64 a2 #s(literal -2 binary64))
(pow.f64 a2 #s(literal 1/3 binary64))
(cbrt.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
a2
(log.f64 (+.f64 #s(literal -2 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
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(cos.f64 th)
(-.f64 (cos.f64 th) #s(literal -2 binary64))
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(-.f64 #s(literal 0 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 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 -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(cbrt.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 -2 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 -2 binary64)))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 a2)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 a2 #s(literal 1 binary64)))
(+.f64 a2 #s(literal 3 binary64))
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) a2)
(*.f64 a2 #s(literal -2 binary64))
(*.f64 (*.f64 a2 #s(literal -2 binary64)) a2)
(*.f64 a2 (*.f64 a2 #s(literal -2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -2 binary64))
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
a2
(log.f64 (+.f64 #s(literal -2 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
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -3/4 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 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)

eval310.0ms (4.1%)

Compiler

Compiled 15061 to 1983 computations (86.8% saved)

prune219.0ms (2.9%)

Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New86125886
Fresh235
Picked325
Done011
Total86631897
Accuracy
100.0%
Counts
897 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.3%
(fma.f64 a2 a2 a1)
64.6%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
3.0%
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
99.1%
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
3.1%
(-.f64 (neg.f64 a2) a1)
3.1%
(-.f64 a1 a2)
5.2%
(+.f64 a2 a1)
16.0%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
24.4%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.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)))
99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
65.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.0%
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
99.3%
(*.f64 (*.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 a1 a1) (*.f64 a2 a2)))
99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
61.0%
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
65.1%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
78.9%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
65.1%
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
46.0%
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
46.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.4%
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.0%
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
44.7%
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.1%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.3%
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.4%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.4%
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
5.3%
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
3.4%
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
Compiler

Compiled 682 to 473 computations (30.6% saved)

localize361.0ms (4.8%)

Algorithm
egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 a2 (cos.f64 th))
cost-diff0
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
cost-diff-6272
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
cost-diff-6272
(*.f64 #s(literal 1/16 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%
(cos.f64 th)
accuracy99.9%
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
accuracy99.8%
(*.f64 a2 (cos.f64 th))
accuracy100.0%
(*.f64 a2 a2)
accuracy100.0%
(*.f64 a1 a1)
accuracy100.0%
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy100.0%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
accuracy100.0%
(*.f64 (neg.f64 a2) a2)
accuracy100.0%
(neg.f64 a2)
accuracy100.0%
(+.f64 a2 a1)
accuracy100.0%
(cos.f64 th)
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
Rules
1691×fma-define
609×fmm-def
298×distribute-lft-in
261×distribute-rgt-in
213×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026381
157377
2122377
3215377
4270377
5350377
6655377
7917377
81569377
92385377
103381377
114294377
124919377
135041377
145065377
155065377
165197377
175253377
185253377
195254377
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 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(literal 1/16 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 a2 (cos.f64 th))
a2
(cos.f64 th)
th
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 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/16 binary64))
#s(literal 1/16 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 a2 (cos.f64 th)) a2)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
a2
(cos.f64 th)
th
Results
88.0ms256×0valid
Compiler

Compiled 101 to 20 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 47.0ms (76.9% of total)
ival-cos: 6.0ms (9.8% of total)
ival-add: 4.0ms (6.5% of total)
ival-sqrt: 2.0ms (3.3% of total)
ival-neg: 1.0ms (1.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
10 → 172
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 (+.f64 a2 a1)>
#<alt (neg.f64 a2)>
#<alt (*.f64 (neg.f64 a2) a2)>
#<alt (+.f64 a1 (*.f64 (neg.f64 a2) a2))>
#<alt (*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 (*.f64 a2 (cos.f64 th)) a2)>
#<alt (sqrt.f64 #s(literal 1/2 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)))>
#<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)))))))))>
#<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 (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))))))))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt a1>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 a2)>
#<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 a2>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 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 (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt a1>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))>
#<alt a1>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))>
#<alt a1>
#<alt (+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt a2>
#<alt (+.f64 a2 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 (pow.f64 th #s(literal 2 binary64)))))>
#<alt (+.f64 a2 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) a2) (*.f64 #s(literal 1/24 binary64) (*.f64 a2 (pow.f64 th #s(literal 2 binary64)))))))>
#<alt (+.f64 a2 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) a2) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a2 (pow.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) a2))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 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 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 a2 #s(literal 2 binary64))))))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
Calls

48 calls:

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

rewrite183.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1067×log1p-expm1-u
367×expm1-log1p-u
201×associate-*r*
183×add-cube-cbrt
180×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026201
1396175
25875175
Stop Event
node limit
Counts
10 → 237
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)))
(+.f64 a2 a1)
(neg.f64 a2)
(*.f64 (neg.f64 a2) a2)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (cos.f64 th))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(sqrt.f64 #s(literal 1/2 binary64))
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))))
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a2
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(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)))
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(+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64))) (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(/.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 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 #s(literal 1/16 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 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1/16 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 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1/16 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 1/16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/16 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) #s(literal 1/4 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 1/256 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/16 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 1/16 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/16 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a2))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) a2))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a2)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a2)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a2)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 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)))

simplify190.0ms (2.5%)

Algorithm
egg-herbie
Rules
575×associate-*r*
528×associate-*l*
514×fmm-def
355×fma-define
246×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061212138
1141911381
2588611367
Stop Event
node limit
Counts
409 → 351
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)))
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a2
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a2
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
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a1
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a1
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a1
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a1
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a2
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(pow.f64 a2 #s(literal 2 binary64))
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(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 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)))
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)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.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 (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 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 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 (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)) (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))) (+.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 (*.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)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (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)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (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))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (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)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (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)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (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))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/24 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 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 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 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 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 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 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.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)))
(*.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)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (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)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (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)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (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 (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)))
(*.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)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (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)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
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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
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(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)) (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
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(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)) (neg.f64 a1))
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
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(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
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a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
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a1
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))
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a1
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(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
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(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
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a2
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(/.f64 (*.f64 #s(literal 1/4096 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 (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1/256 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) #s(literal -1/16 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 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 #s(literal 1/16 binary64) (/.f64 (+.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 #s(literal 1/16 binary64) (/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #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 #s(literal 1/16 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 1/16 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 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1/16 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 #s(literal 1/16 binary64) (/.f64 (+.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 #s(literal 1/16 binary64) (/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #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 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1/16 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 #s(literal 1/16 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 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 #s(literal 1/16 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 1/16 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 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 1/16 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 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 1/16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (*.f64 (hypot.f64 a1 a2) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 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 1/256 binary64)))
(sqrt.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1/256 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/16 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 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 1/16 binary64)))))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 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 1/16 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 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 1/16 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/16 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 1/16 binary64))))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 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 1/16 binary64))))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 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 1/16 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a2))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a2)))
(pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 1 binary64))
(*.f64 (cos.f64 th) a2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) #s(literal 3 binary64))
(*.f64 (cos.f64 th) a2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 th) a2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) #s(literal 2 binary64))
(*.f64 (cos.f64 th) a2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 2 binary64)))
(*.f64 (cos.f64 th) a2)
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) a2)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) a2))))
(*.f64 (cos.f64 th) a2)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64)))
(*.f64 (cos.f64 th) a2)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(*.f64 (cos.f64 th) a2)
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(*.f64 (cos.f64 th) a2)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a2)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a2)))
(*.f64 (cos.f64 th) a2)
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a2)))
(*.f64 (cos.f64 th) a2)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a2)) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) a2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64))))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) a2) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 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))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.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)))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))

eval75.0ms (1%)

Compiler

Compiled 7809 to 1427 computations (81.7% saved)

prune154.0ms (2%)

Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New5503553
Fresh41923
Picked055
Done033
Total55430584
Accuracy
100.0%
Counts
584 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.6%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
3.0%
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
99.1%
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
3.1%
(-.f64 (neg.f64 a2) a1)
3.1%
(-.f64 a1 a2)
5.2%
(+.f64 a2 a1)
16.0%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
24.4%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.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)))
99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
65.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.3%
(*.f64 (*.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 a1 a1) (*.f64 a2 a2)))
99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
61.0%
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
46.0%
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
65.1%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
78.9%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
65.1%
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
46.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.4%
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.0%
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
44.7%
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.1%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.3%
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.4%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.4%
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
3.4%
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
5.2%
a2
3.8%
a1
Compiler

Compiled 588 to 416 computations (29.3% saved)

localize199.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a1 a1)
cost-diff0
(*.f64 th #s(literal 2 binary64))
cost-diff0
(cos.f64 (*.f64 th #s(literal 2 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
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-diff128
(*.f64 a2 #s(literal 1 binary64))
cost-diff128
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
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%
(cos.f64 (*.f64 th #s(literal 2 binary64)))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy99.5%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy99.3%
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
accuracy100.0%
(*.f64 a2 a2)
accuracy100.0%
(*.f64 a1 a1)
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy100.0%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy100.0%
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
accuracy100.0%
(*.f64 a2 #s(literal 1 binary64))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
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)))
accuracy99.0%
(/.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
1102×fma-define
230×distribute-rgt-in
226×distribute-lft-in
149×associate-*l*
123×*-commutative
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
031496
169478
2153472
3346472
4666472
51170472
61605464
72209464
82794464
92971464
102975464
112978464
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 a2 #s(literal 1 binary64)) a2)
(*.f64 a2 #s(literal 1 binary64))
a2
#s(literal 1 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 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 th #s(literal 2 binary64)))
(*.f64 th #s(literal 2 binary64))
th
#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 (/.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) (fma.f64 a1 a1 (*.f64 a2 a2))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #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 (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 a2 #s(literal 1 binary64)) a2)
(*.f64 a2 a2)
(*.f64 a2 #s(literal 1 binary64))
a2
a2
#s(literal 1 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 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (cos.f64 (*.f64 th #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (*.f64 th #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 th #s(literal 2 binary64)))
(*.f64 th #s(literal 2 binary64))
th
#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
Results
79.0ms256×0valid
Compiler

Compiled 148 to 25 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 13.0ms (29.2% of total)
ival-mult: 13.0ms (29.2% of total)
ival-pow: 10.0ms (22.5% of total)
ival-div: 4.0ms (9% of total)
ival-add: 4.0ms (9% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts
10 → 168
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 a2 #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)>
#<alt (*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))>
#<alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (cos.f64 (*.f64 th #s(literal 2 binary64)))>
#<alt (*.f64 th #s(literal 2 binary64))>
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))))))>
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#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
th
@0
(* (/ (cos th) (pow (pow 2 1/4) 2)) (+ (* a1 a1) (* a2 a2)))
1.0ms
a1
@0
(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))
1.0ms
a2
@0
(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))
1.0ms
th
@inf
(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))
1.0ms
th
@0
(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))

rewrite210.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1231×log1p-expm1-u
190×expm1-log1p-u
185×add-exp-log
185×add-cube-cbrt
184×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031219
1462198
25952198
Stop Event
node limit
Counts
10 → 263
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 a2 #s(literal 1 binary64))
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(cos.f64 (*.f64 th #s(literal 2 binary64)))
(*.f64 th #s(literal 2 binary64))
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)))))))
(/.f64 (-.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 (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)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 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 (/.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 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #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 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.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))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (hypot.f64 a1 a2)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #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 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
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(pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 a2) #s(literal 3 binary64))
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(sqrt.f64 (pow.f64 a2 #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a2)))
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a2
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
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(exp.f64 (*.f64 (log.f64 a2) #s(literal 1 binary64)))
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(pow.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a2 #s(literal 6 binary64)) #s(literal 1/3 binary64))
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(log.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))))
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(log1p.f64 (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)) #s(literal 1 binary64)))
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(fma.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) th))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))
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(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
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(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.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 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.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 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 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 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #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 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) (hypot.f64 a1 a2)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
(-.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (sin.f64 th)))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 th) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) th))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) th) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) th)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) th)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) th)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64)))

simplify305.0ms (4%)

Algorithm
egg-herbie
Rules
615×associate-*l*
607×associate-*r*
358×fma-define
318×*-commutative
288×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071418022
1188416575
Stop Event
node limit
Counts
431 → 411
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))))))
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a2
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(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))
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(pow.f64 a2 #s(literal 2 binary64))
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.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 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 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 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #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 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) (hypot.f64 a1 a2)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
(-.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (sin.f64 th)))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 th) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) th))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) th) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) th)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) th)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) th)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 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)) (-.f64 (*.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 (/.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))))
(+.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)) (-.f64 (*.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))))) (/.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 (*.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 (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 (*.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 (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 (*.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 #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)))))
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#s(literal 1 binary64)
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(cos.f64 (*.f64 #s(literal 2 binary64) th))
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(/.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)))
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a2
(pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 a2 #s(literal 2 binary64)))
(fabs.f64 a2)
(pow.f64 (cbrt.f64 a2) #s(literal 3 binary64))
a2
(pow.f64 (pow.f64 a2 #s(literal 3 binary64)) #s(literal 1/3 binary64))
a2
(pow.f64 (sqrt.f64 a2) #s(literal 2 binary64))
a2
(sqrt.f64 (pow.f64 a2 #s(literal 2 binary64)))
(fabs.f64 a2)
(fabs.f64 a2)
(sqrt.f64 (pow.f64 a2 #s(literal 2 binary64)))
(log.f64 (exp.f64 a2))
a2
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a2)))
a2
(cbrt.f64 (pow.f64 a2 #s(literal 3 binary64)))
a2
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
a2
(exp.f64 (log.f64 a2))
a2
(exp.f64 (*.f64 (log.f64 a2) #s(literal 1 binary64)))
a2
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
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(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 a2 #s(literal 2 binary64))
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(cbrt.f64 (pow.f64 a2 #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 a2 #s(literal 4 binary64)))
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(pow.f64 a2 #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
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(expm1.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 a2 #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)))
(pow.f64 a2 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)) #s(literal 1 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
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(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal -1/8 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)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1/8 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
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(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
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(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal -1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/8 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 #s(literal -1/8 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/8 binary64)))))
(*.f64 #s(literal -1/8 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal -1/8 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 -1/8 binary64)) #s(literal 3 binary64)))
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(*.f64 #s(literal -1/8 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 -1/8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
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(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (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)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (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)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) (hypot.f64 a1 a2)) #s(literal 2 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (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)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (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)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (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)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (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)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (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)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (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)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1 binary64))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 0 binary64))
(-.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (sin.f64 th)))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 3 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)))))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -1 binary64))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) th)))
(pow.f64 (*.f64 #s(literal 2 binary64) th) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) th)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) th)
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) th)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) th)
(sqrt.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 th) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) th)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) th))))
(*.f64 #s(literal 2 binary64) th)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) th) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) th)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) th)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) th)))
(*.f64 #s(literal 2 binary64) th)
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) th)))
(*.f64 #s(literal 2 binary64) th)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) th)

eval82.0ms (1.1%)

Compiler

Compiled 12722 to 1800 computations (85.9% saved)

prune178.0ms (2.3%)

Pruning

31 alts after pruning (20 fresh and 11 done)

PrunedKeptTotal
New6553658
Fresh01717
Picked145
Done178
Total65731688
Accuracy
100.0%
Counts
688 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.6%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
3.0%
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
99.1%
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
3.1%
(-.f64 (neg.f64 a2) a1)
3.1%
(-.f64 a1 a2)
16.0%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
24.4%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.4%
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.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)))
99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
65.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.3%
(*.f64 (*.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 a1 a1) (*.f64 a2 a2)))
99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
61.0%
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
65.1%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
78.9%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
46.0%
(*.f64 a2 a2)
65.1%
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
46.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.4%
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.0%
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
44.7%
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.1%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
5.5%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) a2))
24.3%
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.4%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
24.4%
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
3.4%
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
5.2%
a2
3.8%
a1
Compiler

Compiled 775 to 368 computations (52.5% saved)

regimes104.0ms (1.4%)

Counts
44 → 1
Calls
Call 1
Inputs
a1
a2
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.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 -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 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)))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 (*.f64 a2 (cos.f64 th)) 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 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #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 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (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) (/.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 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #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) (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 (/.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 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:

17.0ms
(*.f64 a2 a2)
13.0ms
a2
13.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
12.0ms
th
12.0ms
(+.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)))
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)

regimes137.0ms (1.8%)

Counts
31 → 1
Calls
Call 1
Inputs
a1
a2
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.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 -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 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)))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 (*.f64 a2 (cos.f64 th)) 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 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #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 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (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 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
Calls

6 calls:

51.0ms
a2
49.0ms
(*.f64 a2 a2)
9.0ms
(cos.f64 th)
9.0ms
a1
9.0ms
th
Results
AccuracySegmentsBranch
99.1%1a1
99.1%1a2
99.1%1th
99.1%1(cos.f64 th)
99.1%1(*.f64 a1 a1)
99.1%1(*.f64 a2 a2)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes53.0ms (0.7%)

Counts
29 → 2
Calls
Call 1
Inputs
a1
a2
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.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 -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 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)))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 (*.f64 a2 (cos.f64 th)) 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 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #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)))
Outputs
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

6 calls:

9.0ms
a1
9.0ms
(*.f64 a2 a2)
9.0ms
(cos.f64 th)
8.0ms
a2
8.0ms
th
Results
AccuracySegmentsBranch
69.3%2a1
77.3%2a2
79.7%2th
80.0%2(cos.f64 th)
69.3%2(*.f64 a1 a1)
77.3%2(*.f64 a2 a2)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes50.0ms (0.7%)

Counts
24 → 1
Calls
Call 1
Inputs
a1
a2
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.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 -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 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)))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
Outputs
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
Calls

6 calls:

12.0ms
a2
8.0ms
a1
7.0ms
(cos.f64 th)
7.0ms
th
7.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
61.0%1a1
61.0%1(*.f64 a1 a1)
61.0%1a2
61.0%1(*.f64 a2 a2)
61.0%1th
61.0%1(cos.f64 th)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes35.0ms (0.5%)

Counts
23 → 2
Calls
Call 1
Inputs
a1
a2
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.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 -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 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)))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
Outputs
(*.f64 a2 a2)
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

5 calls:

7.0ms
a1
7.0ms
th
7.0ms
a2
7.0ms
(*.f64 a2 a2)
6.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
46.2%1a2
46.2%1(*.f64 a2 a2)
50.7%2th
46.2%1a1
46.2%1(*.f64 a1 a1)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
a1
a2
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 a2 a2)
(*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

5.0ms
th
Results
AccuracySegmentsBranch
50.6%2th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
a1
a2
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(*.f64 (*.f64 a2 #s(literal 1 binary64)) a2)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
Outputs
(*.f64 a2 a2)
Calls

5 calls:

5.0ms
th
4.0ms
a1
4.0ms
a2
4.0ms
(*.f64 a2 a2)
4.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
46.0%1a2
46.0%1(*.f64 a2 a2)
46.0%1a1
46.0%1(*.f64 a1 a1)
46.0%1th
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
a1
a2
Outputs
a2
Calls

3 calls:

2.0ms
th
2.0ms
a1
2.0ms
a2
Results
AccuracySegmentsBranch
5.2%1a1
5.2%1a2
5.2%1th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (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:

2.0ms
a1
1.0ms
th
1.0ms
a2
Results
AccuracySegmentsBranch
3.8%1a1
3.8%1a2
3.8%1th
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6564231595104535
0.7892859568823622
Compiler

Compiled 27 to 17 computations (37% saved)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
6578.955558217163
52838.72027524443
Results
11.0ms96×0valid
Compiler

Compiled 148 to 101 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (38% of total)
ival-mult: 3.0ms (38% of total)
ival-div: 1.0ms (12.7% of total)
ival-sqrt: 1.0ms (12.7% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.0007653679471602585
16.48551721366866
Results
15.0ms128×0valid
Compiler

Compiled 188 to 129 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 4.0ms (39.5% of total)
ival-mult: 3.0ms (29.6% of total)
ival-div: 1.0ms (9.9% of total)
ival-add: 1.0ms (9.9% of total)
ival-sqrt: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041344
150344
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 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(if (<=.f64 th #s(literal 9500 binary64)) (*.f64 a2 a2) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th #s(literal 8 binary64)) (*.f64 a2 a2) (*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 a2 a2)
a2
a1
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (*.f64 (*.f64 a2 (cos.f64 th)) a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (*.f64 a2 (*.f64 (cos.f64 th) a2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(if (<=.f64 th #s(literal 9500 binary64)) (*.f64 a2 a2) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th #s(literal 9500 binary64)) (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/2 binary64)))
(if (<=.f64 th #s(literal 8 binary64)) (*.f64 a2 a2) (*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th #s(literal 8 binary64)) (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal -3/4 binary64)))
(*.f64 a2 a2)
a2
a1

soundness964.0ms (12.7%)

Rules
1241×fma-define
937×prod-diff
808×log1p-expm1-u
732×expm1-log1p-u
680×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037422
1616422
046218539
1124717783
2412617102
022217
1301192
23735192
048606
1145562
2421562
31139562
42837562
55637562
66570562
77382562
87458562
97474562
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 359 to 118 computations (67.1% saved)

preprocess154.0ms (2%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 990 to 614 computations (38% saved)

end0.0ms (0%)

Profiling

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