Migdal et al, Equation (64)

Time bar (total: 8.5s)

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 21 to 14 computations (33.3% saved)

sample1.4s (16%)

Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 713.0ms
ival-mult: 304.0ms (42.7% of total)
ival-cos: 234.0ms (32.8% of total)
ival-sqrt: 62.0ms (8.7% of total)
ival-div: 58.0ms (8.1% of total)
ival-add: 40.0ms (5.6% of total)
ival-true: 7.0ms (1% of total)
...in/eval/compile.rkt:70:19: 4.0ms (0.6% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess200.0ms (2.4%)

Algorithm
egg-herbie
Rules
1 241×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)

explain209.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-a1
00-0-(*.f64 a1 a1)
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-th
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-(+.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-(*.f64 a2 a2)
00-0-(cos.f64 th)
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
00-0-a2
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
100.0ms512×0valid
Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-cos: 13.0ms (29% of total)
ival-mult: 12.0ms (26.8% of total)
ival-add: 11.0ms (24.6% of total)
ival-div: 4.0ms (8.9% of total)
ival-sqrt: 4.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 52 to 18 computations (65.4% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.7%
(*.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)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 8 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))))
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

localize105.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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)))
accuracy98.9%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(cos.f64 th)
accuracy99.9%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
accuracy99.7%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
Samples
84.0ms256×0valid
Compiler

Compiled 79 to 16 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 50.0ms (76.6% of total)
ival-cos: 6.0ms (9.2% of total)
ival-div: 3.0ms (4.6% of total)
ival-fma: 3.0ms (4.6% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-add: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series26.0ms (0.3%)

Counts
9 → 164
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cos.f64 th)>
#<alt (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (fma.f64 a2 a2 (*.f64 a1 a1))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 a1 a1)>
#<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))>
Outputs
#<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)))))>
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#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (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)))))>
Calls

45 calls:

TimeVariablePointExpression
3.0ms
a2
@0
(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
2.0ms
th
@inf
(/ (cos th) (sqrt 2))
2.0ms
th
@inf
(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
1.0ms
th
@0
(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
1.0ms
a1
@0
(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))

rewrite284.0ms (3.4%)

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 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(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 a1 a1) (*.f64 a2 a2))
Outputs
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.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 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (*.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #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 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #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 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #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 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (-.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 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.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 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
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(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))

simplify251.0ms (3%)

Algorithm
egg-herbie
Rules
447×associate-*r*
430×times-frac
429×associate-*l*
379×cube-prod
270×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052320254
1120018798
2569018790
Stop Event
node limit
Counts
457 → 298
Calls
Call 1
Inputs
(/.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 (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))))))
(pow.f64 a1 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
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(pow.f64 a2 #s(literal 2 binary64))
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(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
Outputs
(/.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 (*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 th #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 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 th #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 (*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 th #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)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.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)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (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 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 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 (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 (pow.f64 a1 #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)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 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 (/.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 (pow.f64 a1 #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)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 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 (/.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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(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #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 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #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 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #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))
(fma.f64 a2 a2 (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))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 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)))

eval97.0ms (1.1%)

Compiler

Compiled 6 796 to 1 074 computations (84.2% saved)

prune56.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3528360
Fresh000
Picked112
Done000
Total3539362
Accuracy
100.0%
Counts
362 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
68.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
79.1%
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.1%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
78.7%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
68.1%
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 270 to 197 computations (27% saved)

simplify183.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 th)
cost-diff0
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
cost-diff0
(cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
cost-diff12864
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
cost-diff0
(cos.f64 th)
cost-diff0
(pow.f64 (cos.f64 th) #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #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))
cost-diff0
(*.f64 a2 a2)
cost-diff0
(*.f64 a1 a1)
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(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)))))
Rules
1 338×fma-define
610×fmm-def
524×times-frac
431×unsub-neg
314×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039946
1102824
2307792
31127792
42570792
55050792
66671792
77461792
87806792
97878792
107906792
Stop Event
node limit
Calls
Call 1
Inputs
(*.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 #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 (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 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 th) #s(literal 2 binary64))
(cos.f64 th)
th
#s(literal 2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(hypot.f64 a2 a1)
a2
a1
#s(literal 3 binary64)
Outputs
(*.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 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (hypot.f64 a1 a2) #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 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 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 (*.f64 a2 a2))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 a1 a1)
a1
(*.f64 a2 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 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(cos.f64 th)
th
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cos.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)) (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 th) #s(literal 2 binary64))
(cos.f64 th)
th
#s(literal 2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (hypot.f64 a1 a2) #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)))
(cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (hypot.f64 a1 a2) #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)))
(cos.f64 th)
th
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
a2
a1
#s(literal 3 binary64)

localize353.0ms (4.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
accuracy99.5%
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
accuracy99.0%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
accuracy51.5%
(cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy99.9%
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy99.7%
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy99.6%
(pow.f64 (cos.f64 th) #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))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(+.f64 (*.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))))
Samples
293.0ms256×0valid
Compiler

Compiled 252 to 34 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 249.0ms
ival-div: 195.0ms (78.5% of total)
ival-cos: 14.0ms (5.6% of total)
ival-pow: 13.0ms (5.2% of total)
ival-mult: 12.0ms (4.8% of total)
ival-sqrt: 6.0ms (2.4% of total)
ival-hypot: 4.0ms (1.6% of total)
ival-cbrt: 2.0ms (0.8% of total)
ival-neg: 2.0ms (0.8% of total)
ival-add: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series98.0ms (1.2%)

Counts
18 → 340
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (neg.f64 (cos.f64 th))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 a2 a2)>
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))>
#<alt (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))>
#<alt (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (cos.f64 th) #s(literal 2 binary64))>
#<alt (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))>
#<alt (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #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 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<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 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #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 #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))>
#<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 (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 (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)))>
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#<alt (/.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))) (pow.f64 a1 #s(literal 2 binary64)))>
Calls

87 calls:

TimeVariablePointExpression
37.0ms
a2
@-inf
(cbrt (/ (cos th) (/ (sqrt 2) (pow (sqrt (+ (* a2 a2) (* a1 a1))) 2))))
5.0ms
a2
@inf
(* (* (pow 2 -1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
5.0ms
a1
@0
(cbrt (/ (cos th) (/ (sqrt 2) (pow (sqrt (+ (* a2 a2) (* a1 a1))) 2))))
3.0ms
a2
@inf
(cbrt (/ (cos th) (/ (sqrt 2) (pow (sqrt (+ (* a2 a2) (* a1 a1))) 2))))
3.0ms
a1
@inf
(cbrt (/ (cos th) (/ (sqrt 2) (pow (sqrt (+ (* a2 a2) (* a1 a1))) 2))))

rewrite135.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
284×associate-*r*
272×log1p-expm1-u
272×expm1-log1p-u
260×add-exp-log
259×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039521
1664521
Stop Event
node limit
Counts
18 → 533
Calls
Call 1
Inputs
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (cos.f64 th))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.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))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 th) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #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 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -4 binary64))
(pow.f64 a2 #s(literal -4 binary64))
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal -4 binary64)))
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (cos.f64 th))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (cos.f64 th))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (cos.f64 th))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64)))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.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 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (-.f64 (log.f64 (+.f64 a2 a1)) (log.f64 (cos.f64 th))))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
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(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (-.f64 (log.f64 (+.f64 a2 a1)) (log.f64 (cos.f64 th))))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64)))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.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 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (-.f64 (log.f64 (+.f64 a2 a1)) (log.f64 (cos.f64 th))))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64)))
(+.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))
(+.f64 (neg.f64 a2) (neg.f64 a1))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (neg.f64 a1) (neg.f64 a2))
(+.f64 (*.f64 (+.f64 a2 a1) a2) (*.f64 (+.f64 a2 a1) a1))
(+.f64 (*.f64 (+.f64 a2 a1) a1) (*.f64 (+.f64 a2 a1) a2))
(+.f64 (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))) (*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 a2 (+.f64 a2 a1)) (*.f64 a1 (+.f64 a2 a1)))
(+.f64 (*.f64 a1 (+.f64 a2 a1)) (*.f64 a2 (+.f64 a2 a1)))
(+.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (+.f64 a2 a1))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (/.f64 #s(literal -4 binary64) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1))
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(exp.f64 (log.f64 (+.f64 a2 a1)))
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))

simplify522.0ms (6.2%)

Algorithm
egg-herbie
Rules
572×associate-*r*
538×fma-define
489×associate-*l*
452×*-commutative
358×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075734575
1216632484
2747232480
Stop Event
node limit
Counts
873 → 465
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)))
#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))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(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))
(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)))
(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)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (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 1/6 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 1/3 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 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 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1 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)))
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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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(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (-.f64 (log.f64 (+.f64 a2 a1)) (log.f64 (cos.f64 th))))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64)))
(+.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))
(+.f64 (neg.f64 a2) (neg.f64 a1))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (neg.f64 a1) (neg.f64 a2))
(+.f64 (*.f64 (+.f64 a2 a1) a2) (*.f64 (+.f64 a2 a1) a1))
(+.f64 (*.f64 (+.f64 a2 a1) a1) (*.f64 (+.f64 a2 a1) a2))
(+.f64 (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))) (*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 a2 (+.f64 a2 a1)) (*.f64 a1 (+.f64 a2 a1)))
(+.f64 (*.f64 a1 (+.f64 a2 a1)) (*.f64 a2 (+.f64 a2 a1)))
(+.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(/.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (+.f64 a2 a1) (neg.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (+.f64 (*.f64 a1 #s(literal -4 binary64)) (-.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))) (-.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(exp.f64 (log.f64 (+.f64 a2 a1)))
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64)))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.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 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (-.f64 (log.f64 (+.f64 a2 a1)) (log.f64 (cos.f64 th))))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64)))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.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 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (-.f64 (log.f64 (+.f64 a2 a1)) (log.f64 (cos.f64 th))))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64)))
(+.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))
(+.f64 (neg.f64 a2) (neg.f64 a1))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (neg.f64 a1) (neg.f64 a2))
(+.f64 (*.f64 (+.f64 a2 a1) a2) (*.f64 (+.f64 a2 a1) a1))
(+.f64 (*.f64 (+.f64 a2 a1) a1) (*.f64 (+.f64 a2 a1) a2))
(+.f64 (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))) (*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (*.f64 a2 (+.f64 a2 a1)) (*.f64 a1 (+.f64 a2 a1)))
(+.f64 (*.f64 a1 (+.f64 a2 a1)) (*.f64 a2 (+.f64 a2 a1)))
(+.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (+.f64 a2 a1))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (/.f64 #s(literal -4 binary64) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1))
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(exp.f64 (log.f64 (+.f64 a2 a1)))
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
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))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (-.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))))
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#s(literal 1/2 binary64)
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(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
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(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (cos.f64 th))
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(/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal 1 binary64) (+.f64 a2 a1))
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(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) #s(literal -4 binary64))))
(/.f64 #s(literal 16 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
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(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
#s(literal 1 binary64)
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(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
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(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
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(*.f64 (cos.f64 th) (+.f64 a2 a1))
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(*.f64 (cos.f64 th) (+.f64 a2 a1))
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(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
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(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
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(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (+.f64 a2 a1))
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(*.f64 (cos.f64 th) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (cos.f64 th))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (cos.f64 th))
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(/.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal 1 binary64) (+.f64 a2 a1))
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(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) #s(literal -4 binary64))))
(/.f64 #s(literal 16 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
#s(literal 1 binary64)
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(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
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(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.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 a2 a1)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
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#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
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(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
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(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
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(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
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(*.f64 (cos.f64 th) (+.f64 a2 a1))
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(*.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (+.f64 a2 a1))
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(*.f64 (+.f64 a2 a1) (cos.f64 th))
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(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
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(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a2 a1))) (+.f64 a1 (-.f64 a2 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
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(/.f64 (+.f64 a2 a1) (neg.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
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(/.f64 (+.f64 a2 a1) (-.f64 (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)) (*.f64 a1 (*.f64 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))))
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(/.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a2 a1) (fma.f64 (+.f64 #s(literal 1 binary64) a1) a2 a1))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(-.f64 (neg.f64 a2) a1)
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(-.f64 a1 a2)
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(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
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(-.f64 (*.f64 a1 #s(literal -4 binary64)) a2)
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(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
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(*.f64 (cos.f64 th) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
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(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(/.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal 1 binary64) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) #s(literal -4 binary64))))
(/.f64 #s(literal 16 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
#s(literal 1 binary64)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (+.f64 a1 (-.f64 a2 (*.f64 a2 a1)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(*.f64 (/.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1))) (/.f64 (+.f64 a2 a1) #s(literal -4 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a1 (-.f64 a2 (*.f64 a2 a1))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (*.f64 a2 a1))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.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 a2 a1)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (*.f64 a2 a1))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (-.f64 (log.f64 (+.f64 a2 a1)) (log.f64 (cos.f64 th))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 a2 (cos.f64 th))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) a2)))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(*.f64 (cos.f64 th) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(/.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal 1 binary64) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) #s(literal -4 binary64))))
(/.f64 #s(literal 16 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
#s(literal 1 binary64)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (+.f64 a1 (-.f64 a2 (*.f64 a2 a1)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(*.f64 (/.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1))) (/.f64 (+.f64 a2 a1) #s(literal -4 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a1 (-.f64 a2 (*.f64 a2 a1))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (*.f64 a2 a1))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.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 a2 a1)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 (cos.f64 th) a2)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (*.f64 a2 a1))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (-.f64 (log.f64 (+.f64 a2 a1)) (log.f64 (cos.f64 th))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.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 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a2 (+.f64 a1 (fma.f64 (neg.f64 a2) a2 a2)))
(+.f64 a2 (+.f64 (-.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) a2))
(+.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(+.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(+.f64 (neg.f64 a2) (neg.f64 a1))
(-.f64 (neg.f64 a2) a1)
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (+.f64 (*.f64 a2 #s(literal 4 binary64)) (*.f64 a2 #s(literal -4 binary64))) (*.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(fma.f64 #s(literal -4 binary64) (-.f64 a1 a2) (*.f64 a2 #s(literal 0 binary64)))
(+.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64))))
(+.f64 (+.f64 (*.f64 a2 #s(literal 4 binary64)) (*.f64 a2 #s(literal -4 binary64))) (fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64))))
(+.f64 (*.f64 a2 #s(literal 0 binary64)) (fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64))))
(+.f64 (neg.f64 a1) (neg.f64 a2))
(-.f64 (neg.f64 a2) a1)
(+.f64 (*.f64 (+.f64 a2 a1) a2) (*.f64 (+.f64 a2 a1) a1))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 (*.f64 (+.f64 a2 a1) a1) (*.f64 (+.f64 a2 a1) a2))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))) (*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64))))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(+.f64 (*.f64 a2 (+.f64 a2 a1)) (*.f64 a1 (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 (*.f64 a1 (+.f64 a2 a1)) (*.f64 a2 (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a2 a1)))
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a2 a1)) (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (/.f64 #s(literal -4 binary64) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a1) (+.f64 a2 a1))))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a1 (/.f64 a2 (+.f64 a2 a1)))))
(*.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a1 (-.f64 a2 (*.f64 a2 a1))))
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(exp.f64 (log.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 a2 #s(literal -4 binary64) a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 a1 #s(literal -4 binary64) a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -4 binary64)) a2)
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)

eval98.0ms (1.2%)

Compiler

Compiled 15 704 to 2 709 computations (82.7% saved)

prune124.0ms (1.5%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New73918757
Fresh123
Picked325
Done011
Total74323766
Accuracy
100.0%
Counts
766 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.2%
(fma.f64 a2 a2 a1)
67.8%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
2.5%
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
2.5%
(-.f64 (neg.f64 a2) a1)
2.5%
(-.f64 a1 a2)
5.7%
(+.f64 a2 a1)
13.5%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
48.4%
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
68.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
48.1%
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
60.6%
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
19.7%
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
99.3%
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 3 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
60.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
68.0%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.1%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
60.6%
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.0%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
78.7%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
2.8%
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
Compiler

Compiled 503 to 345 computations (31.4% saved)

simplify351.0ms (4.1%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a1 a1)
cost-diff0
(cos.f64 th)
cost-diff0
(neg.f64 (cos.f64 th))
cost-diff64
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 a2 a2 a1)
cost-diff0
(+.f64 a2 a1)
cost-diff0
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
cost-diff0
(+.f64 a2 a1)
cost-diff0
(*.f64 a1 a1)
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
Rules
1 274×fma-define
635×fmm-def
379×unsub-neg
301×distribute-lft-neg-in
286×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027389
157381
2164381
3525381
41043381
51634381
62579381
73213381
84033381
94482381
104615381
114647381
125165381
135172381
145408381
155512381
165512381
175512381
185512381
195512381
205512381
215525381
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(+.f64 a2 a1)
a2
a1
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a2 a1)
a2
a1
#s(literal -4 binary64)
(fma.f64 a2 a2 a1)
a2
a1
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
#s(literal -1/2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
Outputs
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.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 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(+.f64 a2 a1)
(+.f64 a1 a2)
a2
a1
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(/.f64 (+.f64 a1 a2) #s(literal -4 binary64))
(*.f64 (+.f64 a1 a2) #s(literal -1/4 binary64))
(+.f64 a2 a1)
(+.f64 a1 a2)
a2
a1
#s(literal -4 binary64)
(fma.f64 a2 a2 a1)
a2
a1
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))
(*.f64 (cos.f64 th) #s(literal 1/2 binary64))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
#s(literal -1/2 binary64)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

localize124.0ms (1.5%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (cos.f64 th))
accuracy100.0%
(cos.f64 th)
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy99.9%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy100.0%
(fma.f64 a2 a2 a1)
accuracy100.0%
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
accuracy100.0%
(+.f64 a2 a1)
accuracy100.0%
(+.f64 a2 a1)
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 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy99.6%
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
Samples
66.0ms256×0valid
Compiler

Compiled 103 to 21 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 14.0ms (43.5% of total)
ival-cos: 6.0ms (18.6% of total)
ival-add: 4.0ms (12.4% of total)
ival-fma: 3.0ms (9.3% of total)
ival-div: 2.0ms (6.2% of total)
ival-sqrt: 2.0ms (6.2% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
8 → 160
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 a2 a1)>
#<alt (/.f64 (+.f64 a2 a1) #s(literal -4 binary64))>
#<alt (fma.f64 a2 a2 a1)>
#<alt (*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))>
#<alt (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (*.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
Outputs
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt 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 -1/4 binary64) a1)>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (*.f64 #s(literal -1/4 binary64) a2)>
#<alt (*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))>
#<alt (*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))>
#<alt (*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) a2)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))>
#<alt (*.f64 #s(literal -1/4 binary64) a2)>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))>
#<alt (*.f64 #s(literal -1/4 binary64) a1)>
#<alt (*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))>
#<alt (*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))>
#<alt (*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) a1)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))>
#<alt a1>
#<alt (+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 a1 (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 a1 (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (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 a1 (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))>
#<alt a1>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))>
#<alt (*.f64 a1 (+.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 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) #s(literal 1 binary64))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 th #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<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))))))))))>
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#<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))))>
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#<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 #s(literal 1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
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#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
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#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
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#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
th
@0
(* (* (neg (cos th)) -1/2) (+ (* a1 a1) (* a2 a2)))
0.0ms
th
@-inf
(* (* (neg (cos th)) -1/2) (+ (* a1 a1) (* a2 a2)))
0.0ms
a2
@0
(* (* (neg (cos th)) -1/2) (+ (* a1 a1) (* a2 a2)))
0.0ms
th
@inf
(* (* (neg (cos th)) -1/2) (+ (* a1 a1) (* a2 a2)))
0.0ms
a2
@inf
(* (* (neg (cos th)) -1/2) (+ (* a1 a1) (* a2 a2)))

rewrite171.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1 062×log1p-expm1-u
635×expm1-log1p-u
189×associate-*r*
172×add-cube-cbrt
169×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027185
1378167
25428167
Stop Event
node limit
Counts
8 → 186
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 a2 a1)
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(fma.f64 a2 a2 a1)
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #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 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #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)))))
(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))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
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(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 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 a2 a1) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 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 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #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) #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))

simplify179.0ms (2.1%)

Algorithm
egg-herbie
Rules
579×associate-*r*
535×associate-*l*
503×cancel-sign-sub-inv
451×fmm-def
328×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055112401
1139311513
2573511419
Stop Event
node limit
Counts
346 → 346
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))))))))
a1
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a2
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
a2
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
a2
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
a1
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1/4 binary64) a1)
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) a2)
(*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) a2)
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))
(*.f64 #s(literal -1/4 binary64) a2)
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) a1)
(*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) a1)
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))
a1
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
a1
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (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 1/48 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.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 (*.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)))))
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(*.f64 (sqrt.f64 (+.f64 a2 a1)) (*.f64 (sqrt.f64 (+.f64 a2 a1)) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 a2 a1)) (/.f64 (sqrt.f64 (+.f64 a2 a1)) #s(literal -4 binary64)))
(*.f64 (neg.f64 (+.f64 a2 a1)) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (+.f64 a2 a1))
(pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) (+.f64 a2 a1)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 a2 a1) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) #s(literal -1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64))))
(exp.f64 (log.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a2 a1) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a2 a2 a1))) #s(literal 1 binary64))
(*.f64 (fma.f64 a2 a2 a1) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a2 a2 a1))
(*.f64 (cbrt.f64 (fma.f64 a2 a2 a1)) (pow.f64 (cbrt.f64 (fma.f64 a2 a2 a1)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a2 a2 a1)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a2 a2 a1)))
(*.f64 (hypot.f64 a2 (sqrt.f64 a1)) (hypot.f64 a2 (sqrt.f64 a1)))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))
(pow.f64 (fma.f64 a2 a2 a1) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a2 a2 a1)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a2 a2 a1) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 (sqrt.f64 a1)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a2 a2 a1) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a2 a2 a1)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a2 a2 a1))))
(cbrt.f64 (pow.f64 (fma.f64 a2 a2 a1) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a2 a2 a1)))
(log1p.f64 (expm1.f64 (fma.f64 a2 a2 a1)))
(exp.f64 (log.f64 (fma.f64 a2 a2 a1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a2 a2 a1)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 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 a2 a1) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #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 1/2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #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)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 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 a2 a1) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 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 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #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) #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 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 (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #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 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
a1
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a2
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
a2
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(*.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
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)) (neg.f64 a1))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)) (neg.f64 a1))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)) (neg.f64 a1))
(*.f64 #s(literal -1/4 binary64) a1)
(*.f64 a1 #s(literal -1/4 binary64))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 a1 a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 a1 a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -1/4 binary64) a2)
(*.f64 a2 #s(literal -1/4 binary64))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))
(*.f64 a2 (fma.f64 #s(literal -1/4 binary64) (/.f64 a1 a2) #s(literal -1/4 binary64)))
(*.f64 a2 (fma.f64 (/.f64 a1 a2) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))
(*.f64 a2 (fma.f64 a1 (/.f64 #s(literal -1/4 binary64) a2) #s(literal -1/4 binary64)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))
(*.f64 a2 (fma.f64 #s(literal -1/4 binary64) (/.f64 a1 a2) #s(literal -1/4 binary64)))
(*.f64 a2 (fma.f64 (/.f64 a1 a2) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))
(*.f64 a2 (fma.f64 a1 (/.f64 #s(literal -1/4 binary64) a2) #s(literal -1/4 binary64)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a1 a2)) #s(literal 1/4 binary64)))
(*.f64 a2 (fma.f64 #s(literal -1/4 binary64) (/.f64 a1 a2) #s(literal -1/4 binary64)))
(*.f64 a2 (fma.f64 (/.f64 a1 a2) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))
(*.f64 a2 (fma.f64 a1 (/.f64 #s(literal -1/4 binary64) a2) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) a2)
(*.f64 a2 #s(literal -1/4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))
(neg.f64 (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a1 a2) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))
(neg.f64 (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a1 a2) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a1 a2)))))
(neg.f64 (*.f64 a2 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a1 a2) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (neg.f64 a2))
(*.f64 #s(literal -1/4 binary64) a2)
(*.f64 a2 #s(literal -1/4 binary64))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 a1 a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 a1 a2))
(+.f64 (*.f64 #s(literal -1/4 binary64) a1) (*.f64 #s(literal -1/4 binary64) a2))
(*.f64 #s(literal -1/4 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -1/4 binary64) a1)
(*.f64 a1 #s(literal -1/4 binary64))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))
(*.f64 a1 (fma.f64 #s(literal -1/4 binary64) (/.f64 a2 a1) #s(literal -1/4 binary64)))
(*.f64 a1 (fma.f64 (/.f64 a2 a1) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))
(*.f64 a1 (fma.f64 a2 (/.f64 #s(literal -1/4 binary64) a1) #s(literal -1/4 binary64)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))
(*.f64 a1 (fma.f64 #s(literal -1/4 binary64) (/.f64 a2 a1) #s(literal -1/4 binary64)))
(*.f64 a1 (fma.f64 (/.f64 a2 a1) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))
(*.f64 a1 (fma.f64 a2 (/.f64 #s(literal -1/4 binary64) a1) #s(literal -1/4 binary64)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 a2 a1)) #s(literal 1/4 binary64)))
(*.f64 a1 (fma.f64 #s(literal -1/4 binary64) (/.f64 a2 a1) #s(literal -1/4 binary64)))
(*.f64 a1 (fma.f64 (/.f64 a2 a1) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))
(*.f64 a1 (fma.f64 a2 (/.f64 #s(literal -1/4 binary64) a1) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) a1)
(*.f64 a1 #s(literal -1/4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))
(neg.f64 (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a2 a1) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (/.f64 a2 a1) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (neg.f64 a1))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))
(neg.f64 (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a2 a1) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (/.f64 a2 a1) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (neg.f64 a1))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 a2 a1)))))
(neg.f64 (*.f64 a1 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a2 a1) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (/.f64 a2 a1) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (neg.f64 a1))
a1
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
(+.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
a1
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) (neg.f64 a1))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) (neg.f64 a1))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) (neg.f64 a1))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/1440 binary64))) #s(literal -1/4 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 -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.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)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #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 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
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(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(neg.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 th)) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 th)) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))

eval147.0ms (1.7%)

Compiler

Compiled 7 875 to 1 339 computations (83% saved)

prune88.0ms (1%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New4969505
Fresh21315
Picked325
Done033
Total50127528
Accuracy
100.0%
Counts
528 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.1%
(pow.f64 a2 #s(literal 2 binary64))
67.8%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
2.5%
(/.f64 a2 #s(literal -4 binary64))
2.5%
(/.f64 a1 #s(literal -4 binary64))
2.5%
(-.f64 (neg.f64 a2) a1)
2.5%
(-.f64 a1 a2)
5.7%
(+.f64 a2 a1)
13.5%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
48.4%
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
68.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
48.1%
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
60.6%
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
19.7%
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.0%
(*.f64 (*.f64 (cos.f64 th) (expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
60.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
68.0%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.0%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
99.1%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
60.6%
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
78.7%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
48.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.8%
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
5.7%
a2
4.0%
a1
Compiler

Compiled 521 to 362 computations (30.5% saved)

simplify208.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff-6336
(*.f64 a2 a2)
cost-diff0
(*.f64 a1 a1)
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
cost-diff0
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
cost-diff0
(+.f64 a2 a1)
cost-diff0
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
cost-diff0
(neg.f64 a2)
cost-diff0
(-.f64 (neg.f64 a2) a1)
cost-diff0
(pow.f64 a2 #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
Rules
686×div-sub
677×fma-define
559×unsub-neg
402×distribute-lft-neg-out
361×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028325
162325
2150325
3308325
4512325
51008325
63127325
74747325
86084325
96394325
106902325
117084325
127520325
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
a1
(-.f64 (neg.f64 a2) a1)
(neg.f64 a2)
a2
a1
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(+.f64 a2 a1)
a2
a1
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
#s(literal -4 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
#s(literal 1/2 binary64)
(cos.f64 th)
th
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
Outputs
(*.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)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
a1
(-.f64 (neg.f64 a2) a1)
(neg.f64 a2)
a2
a1
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(+.f64 a2 a1)
a2
a1
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #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 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
a2

localize86.0ms (1%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
accuracy100.0%
(cos.f64 th)
accuracy100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
accuracy99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
accuracy100.0%
(+.f64 a2 a1)
accuracy100.0%
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
accuracy100.0%
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
accuracy100.0%
(-.f64 (neg.f64 a2) a1)
accuracy100.0%
(neg.f64 a2)
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(cos.f64 th)
accuracy99.9%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy99.7%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
Samples
60.0ms256×0valid
Compiler

Compiled 91 to 23 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 16.0ms (46.9% of total)
ival-cos: 6.0ms (17.6% of total)
ival-pow: 3.0ms (8.8% of total)
ival-div: 2.0ms (5.9% of total)
ival-add: 2.0ms (5.9% of total)
ival-sqrt: 2.0ms (5.9% of total)
ival-sub: 1.0ms (2.9% of total)
ival-neg: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts
9 → 148
Calls
Call 1
Inputs
#<alt (*.f64 (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)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (-.f64 (neg.f64 a2) a1)>
#<alt (neg.f64 a2)>
#<alt (*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))>
#<alt (*.f64 #s(literal -4 binary64) (+.f64 a2 a1))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
Outputs
#<alt (/.f64 (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 a2 #s(literal 2 binary64)) (pow.f64 th #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 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #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 (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 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 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))))>
#<alt (/.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 #s(literal -1 binary64) a1)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) a2) a1)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) a2) a1)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) a2) a1)>
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#<alt (*.f64 #s(literal -1 binary64) a2)>
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#<alt (*.f64 #s(literal -1 binary64) a2)>
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#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
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#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
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#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
Calls

45 calls:

TimeVariablePointExpression
6.0ms
a2
@-inf
(* -4 (+ a2 a1))
1.0ms
a2
@inf
(* (* 1/2 (cos th)) (+ (* a1 a1) (* a2 a2)))
1.0ms
a2
@0
(* (cos th) (/ (pow a2 2) (sqrt 2)))
1.0ms
th
@0
(* (cos th) (/ (pow a2 2) (sqrt 2)))
1.0ms
th
@-inf
(* (cos th) (/ (pow a2 2) (sqrt 2)))

rewrite182.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1 162×log1p-expm1-u
191×expm1-log1p-u
190×associate-*r*
189×add-cube-cbrt
186×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028201
1416176
26168176
Stop Event
node limit
Counts
9 → 242
Calls
Call 1
Inputs
(*.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)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
(-.f64 (neg.f64 a2) a1)
(neg.f64 a2)
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 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)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 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 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 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 (cos.f64 th)) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 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))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (/.f64 a2 #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (cbrt.f64 #s(literal 2 binary64))) (/.f64 a2 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #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 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 a2 (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 a2 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 a2 a2)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a2) a2))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(*.f64 (*.f64 a2 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 a2 #s(literal 4 binary64)))
(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)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 a2 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a2 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)) #s(literal 1 binary64)))
(+.f64 a2 (neg.f64 a1))
(+.f64 a2 (*.f64 (neg.f64 a1) #s(literal 1 binary64)))
(+.f64 (-.f64 a2 a1) (fma.f64 (neg.f64 a1) #s(literal 1 binary64) a1))
(+.f64 (-.f64 a2 a1) (fma.f64 (neg.f64 (cbrt.f64 a1)) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) a1))
(+.f64 (-.f64 a2 a1) (fma.f64 (neg.f64 (sqrt.f64 a1)) (sqrt.f64 a1) a1))
(+.f64 (neg.f64 a1) a2)
(*.f64 (-.f64 a2 a1) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 a2 a1))
(*.f64 (cbrt.f64 (-.f64 a2 a1)) (pow.f64 (cbrt.f64 (-.f64 a2 a1)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 a2 a1)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 a2 a1)))
(*.f64 (sqrt.f64 (-.f64 a2 a1)) (sqrt.f64 (-.f64 a2 a1)))
(*.f64 (-.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1)))))
(*.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)))
(*.f64 (+.f64 (sqrt.f64 a2) (sqrt.f64 a1)) (-.f64 (sqrt.f64 a2) (sqrt.f64 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))) (-.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 a1) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (+.f64 a2 a1))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 a2 a1))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (neg.f64 (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1)))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (neg.f64 a1) #s(literal 3 binary64))) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 a1) (neg.f64 a1)) (*.f64 a2 (neg.f64 a1)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (neg.f64 a1) (neg.f64 a1))) (-.f64 a2 (neg.f64 a1)))
(pow.f64 (-.f64 a2 a1) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 a2 a1)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 a2 a1) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 a2 a1)) #s(literal 2 binary64))
(neg.f64 (+.f64 a2 a1))
(sqrt.f64 (pow.f64 (-.f64 a2 a1) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 a2 a1)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 a2 a1))))
(cbrt.f64 (pow.f64 (-.f64 a2 a1) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 a2 a1)))
(log1p.f64 (expm1.f64 (-.f64 a2 a1)))
(exp.f64 (log.f64 (-.f64 a2 a1)))
(exp.f64 (*.f64 (log.f64 (-.f64 a2 a1)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a2 (neg.f64 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 a2) (neg.f64 a1))
(fma.f64 (sqrt.f64 a2) (sqrt.f64 a2) (neg.f64 a1))
(fma.f64 #s(literal -1 binary64) a2 (neg.f64 a1))
(+.f64 #s(literal 0 binary64) a2)
(-.f64 #s(literal 0 binary64) a2)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal 1 binary64))
(*.f64 a2 #s(literal 1 binary64))
(*.f64 a2 #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) a2)
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 a2))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 a2)))
(*.f64 (cbrt.f64 a2) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 a2) (sqrt.f64 a2))
(*.f64 (sqrt.f64 a2) (neg.f64 (sqrt.f64 a2)))
(*.f64 #s(literal -1 binary64) a2)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 a2)) (sqrt.f64 a2))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a2)) (sqrt.f64 a2))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) a2)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) a2))))
(pow.f64 a2 #s(literal 1 binary64))
(pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 a2) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 a2) #s(literal 2 binary64))
(pow.f64 (pow.f64 a2 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 a2 #s(literal 2 binary64)))
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a2)))
(cbrt.f64 (pow.f64 a2 #s(literal 3 binary64)))
a2
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64))) (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) a2) (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) a1))
(+.f64 (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) a1) (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) a2))
(+.f64 (*.f64 (*.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)) (*.f64 (*.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)))
(+.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))) (*.f64 a1 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))))
(+.f64 (*.f64 a1 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))) (*.f64 a2 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) (+.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))))
(/.f64 (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 a2 a1))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))) (-.f64 a2 a1))
(pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a2 a1) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 a2 a1) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))
(+.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 a2 #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 #s(literal -4 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 a2 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a1 #s(literal -4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))) (-.f64 (*.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64))) (*.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))) (*.f64 (*.f64 a1 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64)))) (-.f64 (*.f64 a2 #s(literal -4 binary64)) (*.f64 a1 #s(literal -4 binary64))))
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 a2 a1))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))) #s(literal -4 binary64)) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal -4 binary64)) (-.f64 a2 a1))
(pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 a2 #s(literal -4 binary64) (*.f64 a1 #s(literal -4 binary64)))
(fma.f64 #s(literal -4 binary64) a2 (*.f64 a1 #s(literal -4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (hypot.f64 a2 a1) #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) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))

simplify179.0ms (2.1%)

Algorithm
egg-herbie
Rules
518×fmm-def
404×fma-define
387×times-frac
301×*-commutative
278×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068112278
1166811546
2570411453
Stop Event
node limit
Counts
390 → 401
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #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 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #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 (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 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 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 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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 #s(literal -1 binary64) a1)
(-.f64 (*.f64 #s(literal -1 binary64) a2) a1)
(-.f64 (*.f64 #s(literal -1 binary64) a2) a1)
(-.f64 (*.f64 #s(literal -1 binary64) a2) a1)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2))))
(*.f64 #s(literal -1 binary64) a2)
(-.f64 (*.f64 #s(literal -1 binary64) a1) a2)
(-.f64 (*.f64 #s(literal -1 binary64) a1) a2)
(-.f64 (*.f64 #s(literal -1 binary64) a1) a2)
(*.f64 #s(literal -1 binary64) a1)
(*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) a1)
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1))))
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -1 binary64) a2)
(*.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a1 a2)) (*.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 a2 (+.f64 (*.f64 #s(literal -8 binary64) a1) (*.f64 #s(literal -4 binary64) a2))))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 a2 (+.f64 (*.f64 #s(literal -8 binary64) a1) (*.f64 #s(literal -4 binary64) a2))))
(*.f64 #s(literal -4 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 a1 a2)) #s(literal 4 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 a1 a2)) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 4 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 a1 a2)) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 a1 a2)) #s(literal 4 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)) (*.f64 #s(literal 8 binary64) a1)) a2)) #s(literal 4 binary64)))
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(*.f64 #s(literal -4 binary64) (pow.f64 a2 #s(literal 2 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (hypot.f64 a2 a1) #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) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
Outputs
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #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 a2 #s(literal 2 binary64)) (/.f64 (pow.f64 th #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 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #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 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 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 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 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 (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 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 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))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (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 a2 #s(literal 2 binary64)) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (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))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) #s(literal -1/720 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 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)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) a1)
(neg.f64 a1)
(-.f64 (*.f64 #s(literal -1 binary64) a2) a1)
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(-.f64 (*.f64 #s(literal -1 binary64) a2) a1)
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(-.f64 (*.f64 #s(literal -1 binary64) a2) a1)
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64)))
(*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 a2 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64)))
(*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 a2 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64)))
(*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 a2 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)))
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2))))
(*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 a2 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2))))
(*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 a2 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2))))
(*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 a2 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)))
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(-.f64 (*.f64 #s(literal -1 binary64) a1) a2)
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(-.f64 (*.f64 #s(literal -1 binary64) a1) a2)
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(-.f64 (*.f64 #s(literal -1 binary64) a1) a2)
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(*.f64 #s(literal -1 binary64) a1)
(neg.f64 a1)
(*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64)))
(*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)))
(*.f64 a1 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64)))
(*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)))
(*.f64 a1 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64)))
(*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)))
(*.f64 a1 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)))
(*.f64 #s(literal -1 binary64) a1)
(neg.f64 a1)
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1))))
(*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)))
(*.f64 a1 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1))))
(*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)))
(*.f64 a1 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1))))
(*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)))
(*.f64 a1 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)))
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
(*.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a1 a2)) (*.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64))))
(fma.f64 #s(literal -8 binary64) (*.f64 a2 a1) (*.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -8 binary64) (*.f64 a2 a1)))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 a2 (+.f64 (*.f64 #s(literal -8 binary64) a1) (*.f64 #s(literal -4 binary64) a2))))
(fma.f64 #s(literal -4 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 a2 (fma.f64 #s(literal -8 binary64) a1 (*.f64 a2 #s(literal -4 binary64)))))
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(*.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2))
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(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))))
(*.f64 (*.f64 a2 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
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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))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 a2 #s(literal 2 binary64)))))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 a2 #s(literal 6 binary64)))
(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 (*.f64 #s(literal 2 binary64) (log.f64 a2)) #s(literal 1 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 a2 (neg.f64 a1))
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(+.f64 a2 (*.f64 (neg.f64 a1) #s(literal 1 binary64)))
(-.f64 a2 a1)
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(-.f64 a2 a1)
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(-.f64 a2 a1)
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(-.f64 a2 a1)
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(-.f64 a2 a1)
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(/.f64 (-.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))))
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(/.f64 (*.f64 (-.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))))
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(/.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (+.f64 a2 a1))
(pow.f64 (-.f64 a2 a1) #s(literal 1 binary64))
(-.f64 a2 a1)
(pow.f64 (cbrt.f64 (-.f64 a2 a1)) #s(literal 3 binary64))
(-.f64 a2 a1)
(pow.f64 (pow.f64 (-.f64 a2 a1) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 a2 a1)
(pow.f64 (sqrt.f64 (-.f64 a2 a1)) #s(literal 2 binary64))
(-.f64 a2 a1)
(neg.f64 (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(sqrt.f64 (pow.f64 (-.f64 a2 a1) #s(literal 2 binary64)))
(-.f64 a2 a1)
(log.f64 (exp.f64 (-.f64 a2 a1)))
(-.f64 a2 a1)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 a2 a1))))
(-.f64 a2 a1)
(cbrt.f64 (pow.f64 (-.f64 a2 a1) #s(literal 3 binary64)))
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(expm1.f64 (log1p.f64 (-.f64 a2 a1)))
(log1p.f64 (expm1.f64 (-.f64 a2 a1)))
(-.f64 a2 a1)
(exp.f64 (log.f64 (-.f64 a2 a1)))
(-.f64 a2 a1)
(exp.f64 (*.f64 (log.f64 (-.f64 a2 a1)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) a2 (neg.f64 a1))
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(fma.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 a2) (neg.f64 a1))
(-.f64 a2 a1)
(fma.f64 (sqrt.f64 a2) (sqrt.f64 a2) (neg.f64 a1))
(-.f64 a2 a1)
(fma.f64 #s(literal -1 binary64) a2 (neg.f64 a1))
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
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a2
(-.f64 #s(literal 0 binary64) a2)
(neg.f64 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 a2))
(*.f64 a2 #s(literal 1 binary64))
a2
(*.f64 a2 #s(literal -1 binary64))
(neg.f64 a2)
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a2
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 a2))
a2
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 a2)))
(neg.f64 a2)
(*.f64 (cbrt.f64 a2) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
a2
(*.f64 (sqrt.f64 a2) (sqrt.f64 a2))
a2
(*.f64 (sqrt.f64 a2) (neg.f64 (sqrt.f64 a2)))
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(neg.f64 a2)
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 a2)))
(*.f64 (neg.f64 (sqrt.f64 a2)) (sqrt.f64 a2))
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a2
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) a2))))
(neg.f64 a2)
(pow.f64 a2 #s(literal 1 binary64))
a2
(pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/2 binary64))
a2
(pow.f64 (cbrt.f64 a2) #s(literal 3 binary64))
a2
(pow.f64 (sqrt.f64 a2) #s(literal 2 binary64))
a2
(pow.f64 (pow.f64 a2 #s(literal 3 binary64)) #s(literal 1/3 binary64))
a2
(sqrt.f64 (pow.f64 a2 #s(literal 2 binary64)))
a2
(fabs.f64 a2)
a2
(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 (*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64))) (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) a2) (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) a1))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) a1) (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) a2))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
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(/.f64 (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) (+.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1))))
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(/.f64 (*.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 a2 a1))
(*.f64 (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (-.f64 a2 a1)))
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(*.f64 (+.f64 a2 a1) (/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (fma.f64 a2 a2 (*.f64 a1 (+.f64 a2 a1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (+.f64 a2 a1) #s(literal -4 binary64))) (-.f64 a2 a1))
(*.f64 (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (-.f64 a2 a1)))
(pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))))))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a2 a1) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) #s(literal 3 binary64))))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 a2 a1) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a2 a1) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 a2 a1) #s(literal 3 binary64))))
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(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))

eval123.0ms (1.4%)

Compiler

Compiled 8 619 to 1 677 computations (80.5% saved)

prune133.0ms (1.6%)

Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New6058613
Fresh41317
Picked235
Done055
Total61129640
Accuracy
100.0%
Counts
640 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.1%
(pow.f64 a2 #s(literal 2 binary64))
67.8%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
2.5%
(/.f64 a2 #s(literal -4 binary64))
2.5%
(/.f64 a1 #s(literal -4 binary64))
2.5%
(-.f64 (neg.f64 a2) a1)
5.7%
(+.f64 a2 a1)
13.5%
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
19.7%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -4 binary64))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
68.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
48.1%
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
60.6%
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
19.7%
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
13.3%
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.0%
(*.f64 (*.f64 (cos.f64 th) (expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
60.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
68.0%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.1%
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
60.6%
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.1%
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
99.0%
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
48.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.8%
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
2.5%
(neg.f64 a2)
2.5%
(neg.f64 a1)
5.7%
a2
4.0%
a1
Compiler

Compiled 704 to 318 computations (54.8% saved)

regimes107.0ms (1.3%)

Counts
46 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(pow.f64 a2 #s(literal 2 binary64))
(fma.f64 a2 a2 a1)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.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 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.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 1/2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 3 binary64))) (+.f64 (*.f64 a1 a1) (*.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)))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

14.0ms
th
14.0ms
a1
13.0ms
(+.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)))
13.0ms
(*.f64 a2 a2)
13.0ms
(cos.f64 th)
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)

regimes80.0ms (0.9%)

Counts
39 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(pow.f64 a2 #s(literal 2 binary64))
(fma.f64 a2 a2 a1)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.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 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.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 1/2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

12.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
12.0ms
a2
11.0ms
a1
11.0ms
th
11.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes83.0ms (1%)

Counts
33 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(pow.f64 a2 #s(literal 2 binary64))
(fma.f64 a2 a2 a1)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.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 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

6 calls:

30.0ms
(*.f64 a2 a2)
11.0ms
a2
11.0ms
a1
10.0ms
(cos.f64 th)
10.0ms
th
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes62.0ms (0.7%)

Counts
32 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(pow.f64 a2 #s(literal 2 binary64))
(fma.f64 a2 a2 a1)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.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 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
Outputs
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
Calls

6 calls:

13.0ms
a1
10.0ms
th
9.0ms
a2
9.0ms
(cos.f64 th)
9.0ms
(*.f64 a2 a2)
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 (0.6%)

Counts
28 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(pow.f64 a2 #s(literal 2 binary64))
(fma.f64 a2 a2 a1)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.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 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
Calls

6 calls:

9.0ms
a2
9.0ms
a1
9.0ms
th
8.0ms
(cos.f64 th)
8.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
99.1%1a1
99.1%1(cos.f64 th)
99.1%1a2
99.1%1th
99.1%1(*.f64 a1 a1)
99.1%1(*.f64 a2 a2)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes51.0ms (0.6%)

Counts
27 → 2
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(pow.f64 a2 #s(literal 2 binary64))
(fma.f64 a2 a2 a1)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.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 (neg.f64 (cos.f64 th)) #s(literal -1/2 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 #s(literal 1/2 binary64) (cos.f64 th)) (+.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)))
Calls

6 calls:

10.0ms
th
9.0ms
a1
8.0ms
a2
8.0ms
(cos.f64 th)
7.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
80.4%2(cos.f64 th)
71.7%2a1
78.2%2a2
80.1%2th
71.7%2(*.f64 a1 a1)
78.2%2(*.f64 a2 a2)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes10.0ms (0.1%)

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

1 calls:

8.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
80.4%2(cos.f64 th)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(pow.f64 a2 #s(literal 2 binary64))
(fma.f64 a2 a2 a1)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
Outputs
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

7.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
80.4%2(cos.f64 th)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes43.0ms (0.5%)

Counts
21 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (*.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(pow.f64 a2 #s(literal 2 binary64))
(fma.f64 a2 a2 a1)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

6 calls:

8.0ms
a2
7.0ms
(cos.f64 th)
7.0ms
th
7.0ms
a1
6.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
60.6%1(*.f64 a1 a1)
60.6%1a1
60.6%1a2
60.6%1(*.f64 a2 a2)
60.6%1th
60.6%1(cos.f64 th)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes34.0ms (0.4%)

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

5 calls:

9.0ms
a2
6.0ms
a1
6.0ms
th
6.0ms
(*.f64 a2 a2)
5.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
48.4%1th
48.4%1a1
48.4%1a2
48.4%1(*.f64 a2 a2)
48.4%1(*.f64 a1 a1)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes39.0ms (0.5%)

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

3 calls:

27.0ms
a2
5.0ms
th
5.0ms
a1
Results
AccuracySegmentsBranch
48.1%1a1
48.1%1a2
48.1%1th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes41.0ms (0.5%)

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

3 calls:

30.0ms
a1
5.0ms
th
5.0ms
a2
Results
AccuracySegmentsBranch
19.7%1a1
19.7%1a2
19.7%1th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
Outputs
(*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64)))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
Calls

3 calls:

4.0ms
th
4.0ms
a1
4.0ms
a2
Results
AccuracySegmentsBranch
20.1%2a2
17.8%2a1
16.4%2th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.2%)

Counts
12 → 2
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -4 binary64))
(/.f64 a2 #s(literal -4 binary64))
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
Outputs
(+.f64 a2 a1)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
Calls

3 calls:

4.0ms
th
4.0ms
a1
4.0ms
a2
Results
AccuracySegmentsBranch
16.1%2th
13.5%1a1
13.5%1a2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

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

3 calls:

4.0ms
th
4.0ms
a1
4.0ms
a2
Results
AccuracySegmentsBranch
5.7%1a2
5.7%1a1
5.7%1th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a1)
(neg.f64 a2)
Outputs
a2
Calls

3 calls:

2.0ms
th
2.0ms
a2
2.0ms
a1
Results
AccuracySegmentsBranch
5.7%1a2
5.7%1a1
5.7%1th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
th
1.0ms
a2
1.0ms
a1
Results
AccuracySegmentsBranch
4.0%1a2
4.0%1a1
4.0%1th
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6686739164584669
0.6710471997755235
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6686739164584669
0.6710471997755235
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6686739164584669
0.6710471997755235
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
3.7980999917966235e-118
1.1027070706138612e-113
Samples
13.0ms128×0valid
Compiler

Compiled 193 to 138 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 4.0ms (43.3% of total)
ival-mult: 3.0ms (32.4% of total)
ival-div: 1.0ms (10.8% of total)
ival-add: 1.0ms (10.8% of total)
ival-sqrt: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
6.289302237116419e-6
10.320621854147248
Samples
19.0ms144×0valid
Compiler

Compiled 178 to 126 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 8.0ms (55.9% of total)
ival-mult: 3.0ms (21% of total)
ival-div: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
ival-sqrt: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
20×*-commutative
+-commutative
1-exp
sub-neg
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063829
193821
298821
3101821
4102821
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))))
(*.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 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (cos.f64 th) #s(literal 6034823500676465/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.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))))
(if (<=.f64 (cos.f64 th) #s(literal 6034823500676465/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 6034823500676465/9007199254740992 binary64)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(if (<=.f64 a2 #s(literal 2058429980915293/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))) (+.f64 a1 (*.f64 (neg.f64 a2) a2)))
(if (<=.f64 th #s(literal 6980579422424269/4503599627370496 binary64)) (+.f64 a2 a1) (+.f64 a1 (*.f64 (neg.f64 a2) a2)))
(+.f64 a2 a1)
a2
a1
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (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 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (cos.f64 th) #s(literal 6034823500676465/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.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))))
(if (<=.f64 (cos.f64 th) #s(literal 6034823500676465/9007199254740992 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (cos.f64 th) #s(literal 6034823500676465/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 6034823500676465/9007199254740992 binary64)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 (cos.f64 th) #s(literal 6034823500676465/9007199254740992 binary64)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 6034823500676465/9007199254740992 binary64)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -4 binary64)))
(if (<=.f64 a2 #s(literal 2058429980915293/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))) (+.f64 a1 (*.f64 (neg.f64 a2) a2)))
(if (<=.f64 a2 #s(literal 2058429980915293/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))) (+.f64 a1 (*.f64 a2 (neg.f64 a2))))
(if (<=.f64 a2 #s(literal 2058429980915293/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) (*.f64 (+.f64 a2 a1) (*.f64 a1 #s(literal -4 binary64))) (-.f64 a1 (*.f64 a2 a2)))
(if (<=.f64 th #s(literal 6980579422424269/4503599627370496 binary64)) (+.f64 a2 a1) (+.f64 a1 (*.f64 (neg.f64 a2) a2)))
(if (<=.f64 th #s(literal 6980579422424269/4503599627370496 binary64)) (+.f64 a2 a1) (+.f64 a1 (*.f64 a2 (neg.f64 a2))))
(if (<=.f64 th #s(literal 6980579422424269/4503599627370496 binary64)) (+.f64 a2 a1) (-.f64 a1 (*.f64 a2 a2)))
(+.f64 a2 a1)
a2
a1

soundness1.5s (17.5%)

Rules
1 241×fma-define
1 162×log1p-expm1-u
937×prod-diff
808×log1p-expm1-u
732×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068112278
1166811546
2570411453
028201
1416176
26168176
075734575
1216632484
2747232480
039521
1664521
022217
1301192
23735192
048606
1145562
2421562
31139562
42837562
55637562
66570562
77382562
87458562
97474562
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 675 to 223 computations (67% saved)

preprocess146.0ms (1.7%)

Remove

(abs a2)

(sort a1 a2)

(abs th)

(abs a1)

Compiler

Compiled 1 506 to 824 computations (45.3% saved)

end0.0ms (0%)

Profiling

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