Migdal et al, Equation (64)

Time bar (total: 8.6s)

analyze1.0ms (0%)

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

Compiled 23 to 16 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-cos, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

sample1.8s (21.3%)

Results
979.0ms4690×256valid
721.0ms3565×256infinite
0.0ms1×256infinite
Precisions
Click to see histograms. Total time spent on operations: 877.0ms
Operation ival-mult, time spent: 278.0ms, 32.0% of total-time
Operation ival-cos, time spent: 248.0ms, 28.0% of total-time
Operation ival-sqrt, time spent: 153.0ms, 17.0% of total-time
Operation ival-div, time spent: 127.0ms, 14.0% of total-time
Operation ival-add, time spent: 50.0ms, 6.0% of total-time
Operation const, time spent: 20.0ms, 2.0% of total-time
Bogosity

preprocess383.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
1241×fma-define
680×times-frac
547×fmm-def
457×div-sub
352×associate-/r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
00-0-a2
00-0-(cos.f64 th)
00-0-(*.f64 a2 a2)
00-0-(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
00-0-th
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(*.f64 a1 a1)
00-0-a1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048606
1145562
2421562
31139562
42837562
55637562
66570562
77382562
87458562
97474562
Stop Event
1×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)

Compiler

Compiled 142 to 75 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
Operation ival-div, time spent: 24.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 24.0ms, 26.0% of total-time
Operation ival-mult, time spent: 23.0ms, 25.0% of total-time
Operation ival-cos, time spent: 14.0ms, 15.0% of total-time
Operation ival-add, time spent: 3.0ms, 3.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 52 to 25 computations (51.9% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 31 to 21 computations (32.3% saved)

localize132.0ms (1.5%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.9%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓99.9%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 81 to 29 computations (64.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
Operation ival-sqrt, time spent: 16.0ms, 29.0% of total-time
Operation ival-div, time spent: 13.0ms, 23.0% of total-time
Operation ival-cos, time spent: 9.0ms, 16.0% of total-time
Operation ival-mult, time spent: 9.0ms, 16.0% of total-time
Operation composed, time spent: 4.0ms, 7.0% of total-time
Operation ival-add, time spent: 3.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

series28.0ms (0.3%)

Counts
5 → 124
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))>
Outputs
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (/.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 #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))))))>
#<alt (*.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))))))>
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#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.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

33 calls:

TimeVariablePointExpression
8.0ms
a2
@inf
(* (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
a2
@0
(/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))
1.0ms
a2
@0
(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))

rewrite304.0ms (3.5%)

Algorithm
1×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
022170
1301150
23735150
Stop Event
1×node limit
Counts
5 → 211
Calls
Call 1
Inputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))
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(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 (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)))

simplify233.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
309×distribute-lft-neg-in
296×distribute-rgt-neg-in
286×distribute-lft-neg-out
286×associate-*l*
283×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043717242
1107615932
2396515894
Stop Event
1×node limit
Counts
335 → 242
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 (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 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(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)))

eval188.0ms (2.2%)

Compiler

Compiled 4821 to 3107 computations (35.6% saved)

prune50.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New23012242
Fresh000
Picked112
Done000
Total23113244
Accuracy
100.0%
Counts
244 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.7%
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
99.5%
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
98.4%
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
99.4%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
▶99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶65.6%
(*.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)))
▶99.5%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.4%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
▶98.4%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶99.6%
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
75.8%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
Compiler

Compiled 390 to 299 computations (23.3% saved)

localize416.0ms (4.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.7%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.1%
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓99.0%
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓99.9%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.7%
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓99.7%
(*.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)))
✓98.4%
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓99.9%
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
✓99.8%
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓99.4%
(*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
Compiler

Compiled 225 to 110 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
Operation ival-pow, time spent: 69.0ms, 35.0% of total-time
Operation ival-mult, time spent: 28.0ms, 14.0% of total-time
Operation ival-sqrt, time spent: 27.0ms, 14.0% of total-time
Operation ival-cos, time spent: 24.0ms, 12.0% of total-time
Operation ival-div, time spent: 22.0ms, 11.0% of total-time
Operation composed, time spent: 9.0ms, 5.0% of total-time
Operation const, time spent: 7.0ms, 4.0% of total-time
Operation ival-neg, time spent: 6.0ms, 3.0% of total-time
Operation ival-add, time spent: 5.0ms, 3.0% of total-time

series112.0ms (1.3%)

Counts
13 → 240
Calls
Call 1
Inputs
#<alt (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))>
#<alt (*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (*.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 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))>
#<alt (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))>
#<alt (*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
Outputs
#<alt (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a1)) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)))))>
#<alt (+.f64 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 5 binary64)))))))))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))>
#<alt (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a2)) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))))>
#<alt (+.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 5 binary64)))))))))>
#<alt (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))>
#<alt (*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
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#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
Calls

63 calls:

TimeVariablePointExpression
36.0ms
th
@inf
(/ (cos th) (pow 2 1/4))
15.0ms
th
@inf
(/ (/ (cos th) (pow 2 1/4)) (pow 2 1/4))
11.0ms
a1
@0
(* (cos th) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (pow 2 -1/2))))
8.0ms
a1
@0
(* (/ (/ (cos th) (pow 2 1/4)) (pow 2 1/4)) (+ (* a1 a1) (* a2 a2)))
6.0ms
th
@inf
(* (/ (/ (cos th) (pow 2 1/4)) (pow 2 1/4)) (+ (* a1 a1) (* a2 a2)))

rewrite83.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
315×associate-*r*
272×log1p-expm1-u
272×expm1-log1p-u
257×add-exp-log
257×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038375
1627375
Stop Event
1×node limit
Counts
13 → 392
Calls
Call 1
Inputs
(*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.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)))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 a2 (*.f64 a1 #s(literal -2 binary64)))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 #s(literal -2 binary64) a2))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -2 binary64))) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 (*.f64 a1 #s(literal -2 binary64)) (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -2 binary64)) (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2) (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 a2 (*.f64 a1 #s(literal -2 binary64)))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 #s(literal -2 binary64) a2))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -2 binary64))) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 (*.f64 a1 #s(literal -2 binary64)) (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -2 binary64)) (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2) (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 a2 (*.f64 a1 #s(literal -2 binary64)))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 #s(literal -2 binary64) a2))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -2 binary64))) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 (*.f64 a1 #s(literal -2 binary64)) (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -2 binary64)) (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2) (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
#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 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) a2)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) a2)
(*.f64 a2 #s(literal -2 binary64))
(*.f64 a2 a2)
(pow.f64 a2 #s(literal -2 binary64))
(pow.f64 a2 #s(literal 1/3 binary64))
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 a2 (cos.f64 th))))
(/.f64 a2 (cos.f64 th))
(/.f64 (cos.f64 th) a2)
(/.f64 (*.f64 a2 (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 a2 (cos.f64 th)))
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))

simplify279.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
461×fma-define
437×associate-*r/
432×associate-*r*
422×times-frac
355×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054023679
1155222185
2546021260
Stop Event
1×node limit
Counts
632 → 475
Calls
Call 1
Inputs
(*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a1)) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)))))
(+.f64 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 5 binary64)))))))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a2)) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))))
(+.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 5 binary64)))))))))
(*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #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 #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 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.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)))))
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(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(cbrt.f64 (+.f64 a1 a2))
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(hypot.f64 a2 a1)
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(exp.f64 (log.f64 (+.f64 a1 a2)))
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(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
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(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
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(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
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#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
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#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
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(-.f64 a1 a2)
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(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
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(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
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(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
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(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
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(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) #s(literal -2 binary64)))
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(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
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#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
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#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
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(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
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(cos.f64 th)
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(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))
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(*.f64 a2 a2)
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(pow.f64 a2 #s(literal 1/3 binary64))
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 a2)))
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(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 a2 (cos.f64 th)))))
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(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) #s(literal -2 binary64)))
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(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
Outputs
(*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a1)) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
(+.f64 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)))))
(fma.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) a1))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 5 binary64)))))))))
(fma.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) a1)) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 a2 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 4 binary64))))))
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))
(*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(*.f64 a2 (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (neg.f64 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (neg.f64 a2) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))
(*.f64 (neg.f64 a2) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))
(*.f64 a2 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))))
(*.f64 (neg.f64 a2) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(*.f64 a2 (neg.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a2)) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))))
(+.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))))
(fma.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) a2))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))
(+.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 5 binary64)))))))))
(fma.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))
(*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 a1 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
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(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))))
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(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a2 (*.f64 a1 #s(literal -2 binary64)))
(fma.f64 a1 #s(literal -2 binary64) a2)
(+.f64 (+.f64 a1 a2) (fma.f64 a2 #s(literal -2 binary64) a2))
(+.f64 a1 (+.f64 a2 (fma.f64 a2 #s(literal -2 binary64) a2)))
(+.f64 a2 (-.f64 a1 a2))
a1
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 a1 (+.f64 a2 (fma.f64 a2 a2 a2)))
(+.f64 a2 (+.f64 a1 (fma.f64 a2 a2 a2)))
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 #s(literal 1 binary64)) #s(literal 1 binary64)) a2))
(+.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -2 binary64))) (*.f64 (+.f64 a1 a2) a2))
(*.f64 (+.f64 a1 a2) (fma.f64 a1 #s(literal -2 binary64) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 a1 #s(literal -2 binary64)) (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (fma.f64 a1 #s(literal -2 binary64) a2))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 (+.f64 a2 #s(literal 1 binary64)) a1))
(+.f64 (+.f64 a1 a2) #s(literal 3 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 a2)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a2) (+.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
#s(literal 1 binary64)
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (neg.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 (-.f64 (neg.f64 a2) a1) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (-.f64 (-.f64 (*.f64 a1 a2) a1) a2))
(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -2 binary64)) (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (fma.f64 a1 #s(literal -2 binary64) a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (*.f64 a1 (-.f64 #s(literal -2 binary64) a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a1 a2) (fma.f64 (+.f64 a1 #s(literal 1 binary64)) a2 a1))
(/.f64 (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2) (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2))
#s(literal 1 binary64)
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 a1 a2))
(neg.f64 (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (fma.f64 (exp.f64 a1) (exp.f64 a2) #s(literal -3 binary64)))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(+.f64 (+.f64 a1 a2) #s(literal 0 binary64))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) #s(literal -2 binary64)))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a2 #s(literal -2 binary64) a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a2 (*.f64 a1 #s(literal -2 binary64)))
(fma.f64 a1 #s(literal -2 binary64) a2)
(+.f64 (+.f64 a1 a2) (fma.f64 a2 #s(literal -2 binary64) a2))
(+.f64 a1 (+.f64 a2 (fma.f64 a2 #s(literal -2 binary64) a2)))
(+.f64 a2 (-.f64 a1 a2))
a1
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 a1 (+.f64 a2 (fma.f64 a2 a2 a2)))
(+.f64 a2 (+.f64 a1 (fma.f64 a2 a2 a2)))
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 #s(literal 1 binary64)) #s(literal 1 binary64)) a2))
(+.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -2 binary64))) (*.f64 (+.f64 a1 a2) a2))
(*.f64 (+.f64 a1 a2) (fma.f64 a1 #s(literal -2 binary64) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 a1 #s(literal -2 binary64)) (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (fma.f64 a1 #s(literal -2 binary64) a2))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 (+.f64 a2 #s(literal 1 binary64)) a1))
(+.f64 (+.f64 a1 a2) #s(literal 3 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 a2)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a2) (+.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
#s(literal 1 binary64)
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (neg.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 (-.f64 (neg.f64 a2) a1) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (-.f64 (-.f64 (*.f64 a1 a2) a1) a2))
(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -2 binary64)) (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (fma.f64 a1 #s(literal -2 binary64) a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (*.f64 a1 (-.f64 #s(literal -2 binary64) a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a1 a2) (fma.f64 (+.f64 a1 #s(literal 1 binary64)) a2 a1))
(/.f64 (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2) (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2))
#s(literal 1 binary64)
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 a1 a2))
(neg.f64 (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (fma.f64 (exp.f64 a1) (exp.f64 a2) #s(literal -3 binary64)))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(+.f64 (+.f64 a1 a2) #s(literal 0 binary64))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) #s(literal -2 binary64)))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a2 #s(literal -2 binary64) a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(fma.f64 (*.f64 a1 (cos.f64 th)) #s(literal -2 binary64) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (fma.f64 a1 #s(literal -2 binary64) a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))) (/.f64 (cos.f64 th) #s(literal -2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 a2 (cos.f64 th))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 a2 (cos.f64 th))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a2 (*.f64 a1 #s(literal -2 binary64)))
(fma.f64 a1 #s(literal -2 binary64) a2)
(+.f64 (+.f64 a1 a2) (fma.f64 a2 #s(literal -2 binary64) a2))
(+.f64 a1 (+.f64 a2 (fma.f64 a2 #s(literal -2 binary64) a2)))
(+.f64 a2 (-.f64 a1 a2))
a1
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 a1 (+.f64 a2 (fma.f64 a2 a2 a2)))
(+.f64 a2 (+.f64 a1 (fma.f64 a2 a2 a2)))
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 #s(literal 1 binary64)) #s(literal 1 binary64)) a2))
(+.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(+.f64 (*.f64 (+.f64 a1 a2) (*.f64 a1 #s(literal -2 binary64))) (*.f64 (+.f64 a1 a2) a2))
(*.f64 (+.f64 a1 a2) (fma.f64 a1 #s(literal -2 binary64) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 (*.f64 a1 #s(literal -2 binary64)) (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (fma.f64 a1 #s(literal -2 binary64) a2))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a1 a2))))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 (+.f64 a2 #s(literal 1 binary64)) a1))
(+.f64 (+.f64 a1 a2) #s(literal 3 binary64))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 a2)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a2) (+.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
#s(literal 1 binary64)
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (neg.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 (-.f64 (neg.f64 a2) a1) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (-.f64 (-.f64 (*.f64 a1 a2) a1) a2))
(/.f64 (+.f64 a1 a2) (+.f64 (*.f64 a1 #s(literal -2 binary64)) (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (fma.f64 a1 #s(literal -2 binary64) a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (*.f64 a1 (-.f64 #s(literal -2 binary64) a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a1 a2) (fma.f64 (+.f64 a1 #s(literal 1 binary64)) a2 a1))
(/.f64 (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2) (-.f64 (*.f64 a1 #s(literal -2 binary64)) a2))
#s(literal 1 binary64)
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 a1 a2))
(neg.f64 (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (fma.f64 (exp.f64 a1) (exp.f64 a2) #s(literal -3 binary64)))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(+.f64 (+.f64 a1 a2) #s(literal 0 binary64))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) #s(literal -2 binary64)))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a2 #s(literal -2 binary64) a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
#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 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) #s(literal -2 binary64)) (*.f64 a2 (cos.f64 th)))
(fma.f64 (*.f64 a1 (cos.f64 th)) #s(literal -2 binary64) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (fma.f64 a1 #s(literal -2 binary64) a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))) (/.f64 (cos.f64 th) #s(literal -2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 a2 (cos.f64 th))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 a2 (cos.f64 th))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
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(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
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(cos.f64 th)
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a2
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(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 a2)))
(cbrt.f64 a2)
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a2
(exp.f64 (log.f64 a2))
a2
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(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
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(cos.f64 th)
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(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
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(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
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(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
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(*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
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(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
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(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) #s(literal -2 binary64)))
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(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
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(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 (*.f64 a2 (cos.f64 th)))))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))

eval367.0ms (4.3%)

Compiler

Compiled 16820 to 10869 computations (35.4% saved)

prune138.0ms (1.6%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New84715862
Fresh257
Picked145
Done011
Total85025875
Accuracy
100.0%
Counts
875 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.7%
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
65.2%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
98.4%
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
99.4%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
65.7%
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.4%
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
✓99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
18.8%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓65.6%
(*.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)))
✓99.5%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.4%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
98.4%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
98.5%
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
▶57.8%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
75.8%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
44.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
44.0%
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
43.5%
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶43.2%
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
18.5%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
18.7%
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
18.8%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶18.5%
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 592 to 435 computations (26.5% saved)

localize166.0ms (1.9%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
✓99.6%
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓99.9%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.7%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
✓99.7%
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 131 to 40 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
Operation ival-pow, time spent: 25.0ms, 32.0% of total-time
Operation ival-mult, time spent: 21.0ms, 27.0% of total-time
Operation composed, time spent: 9.0ms, 12.0% of total-time
Operation ival-sqrt, time spent: 8.0ms, 10.0% of total-time
Operation ival-cos, time spent: 7.0ms, 9.0% of total-time
Operation ival-add, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time
Operation ival-div, time spent: 2.0ms, 3.0% of total-time

series11.0ms (0.1%)

Counts
5 → 120
Calls
Call 1
Inputs
#<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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))>
#<alt (*.f64 (cos.f64 th) (*.f64 a2 a2))>
#<alt (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (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 (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 a2 #s(literal 2 binary64))))))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
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#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
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#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (/.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 #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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
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#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (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)))>
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#<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

30 calls:

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

rewrite145.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1001×prod-diff
898×log1p-expm1-u
416×expm1-log1p-u
148×associate-*r*
142×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024135
1344131
24291131
Stop Event
1×node limit
Counts
5 → 129
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.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 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) (*.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))) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (hypot.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 a1 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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #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)) (pow.f64 a1 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #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 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)))
(*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #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 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (hypot.f64 a1 a2))) (sqrt.f64 (hypot.f64 a1 a2)))
(*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 a1 a2)))
(/.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 a2 #s(literal 6 binary64)) (pow.f64 a1 #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 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (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 a2 #s(literal 6 binary64)) (pow.f64 a1 #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))))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.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)))

simplify145.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
425×distribute-lft-in
423×distribute-rgt-in
365×associate-*r*
336×associate-*l*
265×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039310613
19479988
235379563
Stop Event
1×node limit
Counts
249 → 234
Calls
Call 1
Inputs
(*.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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(cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (hypot.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 a1 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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #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)) (pow.f64 a1 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #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 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)))
(*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #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 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (hypot.f64 a1 a2))) (sqrt.f64 (hypot.f64 a1 a2)))
(*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 a1 a2)))
(/.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 a2 #s(literal 6 binary64)) (pow.f64 a1 #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 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (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 a2 #s(literal 6 binary64)) (pow.f64 a1 #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))))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.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)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64))))))
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(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (-.f64 (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 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #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 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (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 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))))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(log.f64 (exp.f64 (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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (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))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #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 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))
(log1p.f64 (expm1.f64 (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))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))) #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 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 #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 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.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)))

eval240.0ms (2.8%)

Compiler

Compiled 9879 to 6830 computations (30.9% saved)

prune91.0ms (1.1%)

Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New6156621
Fresh41115
Picked235
Done055
Total62125646
Accuracy
100.0%
Counts
646 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(pow.f64 a2 #s(literal 2 binary64))
65.2%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
98.4%
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
65.6%
(*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶18.8%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓65.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.5%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
65.7%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶98.4%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
✓98.4%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
98.4%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
98.5%
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
✓57.8%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
44.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶44.0%
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
43.5%
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓43.2%
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
18.5%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
18.7%
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶18.8%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓18.5%
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
52.6%
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
Compiler

Compiled 535 to 389 computations (27.3% saved)

localize367.0ms (4.3%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
✓99.6%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.8%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.5%
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓100.0%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.7%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
✓99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 175 to 67 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 205.0ms
Operation ival-cos, time spent: 135.0ms, 66.0% of total-time
Operation ival-mult, time spent: 30.0ms, 15.0% of total-time
Operation ival-sqrt, time spent: 15.0ms, 7.0% of total-time
Operation ival-pow, time spent: 10.0ms, 5.0% of total-time
Operation ival-add, time spent: 6.0ms, 3.0% of total-time
Operation ival-div, time spent: 4.0ms, 2.0% of total-time
Operation const, time spent: 4.0ms, 2.0% of total-time

series22.0ms (0.3%)

Counts
7 → 140
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))>
#<alt (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))>
#<alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (*.f64 (sqrt.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)) (cos.f64 th))>
Outputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
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#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.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 1/2 binary64))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.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 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.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 1/2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 a2 #s(literal 2 binary64))))))) (pow.f64 a2 #s(literal 2 binary64)))>
Calls

42 calls:

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

rewrite241.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1234×log1p-expm1-u
229×associate-*r*
195×expm1-log1p-u
191×add-cube-cbrt
190×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031226
1439211
26038211
Stop Event
1×node limit
Counts
7 → 177
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
Outputs
(+.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 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (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 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 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 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 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 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.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 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (-.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 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (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 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 #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))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (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)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 a2 (sqrt.f64 (cos.f64 th)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(cbrt.f64 (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)))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)) (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))))
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (*.f64 #s(literal 2 binary64) (log.f64 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify227.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
655×associate-*r*
625×associate-*l*
461×fmm-def
454×fma-define
285×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057816523
1166015301
2704815289
Stop Event
1×node limit
Counts
317 → 351
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))
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#s(literal 2 binary64)
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(+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #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 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 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)))) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (neg.f64 (cos.f64 (*.f64 th #s(literal 2 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)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (neg.f64 (cos.f64 (*.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))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))) (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))) (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 (neg.f64 (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) (hypot.f64 a1 a2)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (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)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 a2 (sqrt.f64 (cos.f64 th)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(cbrt.f64 (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)))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)) (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))))
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (*.f64 #s(literal 2 binary64) (log.f64 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (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 (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))

eval701.0ms (8.2%)

Compiler

Compiled 18468 to 13224 computations (28.4% saved)

prune126.0ms (1.5%)

Pruning

29 alts after pruning (16 fresh and 13 done)

PrunedKeptTotal
New103541039
Fresh01212
Picked055
Done088
Total1035291064
Accuracy
100.0%
Counts
1064 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(pow.f64 a2 #s(literal 2 binary64))
65.2%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
98.4%
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
18.8%
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))
18.8%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal -1/2 binary64))))
18.8%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))
65.6%
(*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓18.8%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
18.8%
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓65.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.6%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.5%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
65.7%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.4%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
✓98.4%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
98.4%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
98.5%
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
✓57.8%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
44.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓44.0%
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
43.5%
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓43.2%
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
18.5%
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
18.7%
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓18.8%
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓18.5%
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
52.6%
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
Compiler

Compiled 814 to 492 computations (39.6% saved)

regimes85.0ms (1%)

Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 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 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 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 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
Outputs
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
Calls

8 calls:

13.0ms
a2
12.0ms
th
12.0ms
a1
10.0ms
(cos.f64 th)
10.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%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)))
99.6%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 59 to 43 computations (27.1% saved)

regimes69.0ms (0.8%)

Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 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 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

7 calls:

11.0ms
a1
11.0ms
a2
11.0ms
th
10.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
9.0ms
(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)

regimes61.0ms (0.7%)

Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 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 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

10.0ms
a1
9.0ms
a2
9.0ms
th
8.0ms
(*.f64 a2 a2)
8.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
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)

regimes214.0ms (2.5%)

Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal -2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) #s(literal -1/2 binary64))))
Outputs
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

6 calls:

165.0ms
a2
13.0ms
a1
11.0ms
th
9.0ms
(*.f64 a2 a2)
8.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
69.6%2a1
76.2%2a2
78.7%2th
78.9%2(cos.f64 th)
69.6%2(*.f64 a1 a1)
76.2%2(*.f64 a2 a2)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes27.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
Outputs
(*.f64 (cos.f64 th) (*.f64 a2 a2))
Calls

6 calls:

8.0ms
a1
5.0ms
(*.f64 a2 a2)
4.0ms
a2
4.0ms
th
3.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
57.8%1a1
57.8%1(*.f64 a1 a1)
57.8%1a2
57.8%1(*.f64 a2 a2)
57.8%1th
57.8%1(cos.f64 th)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes29.0ms (0.3%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

5 calls:

9.0ms
th
9.0ms
a2
4.0ms
a1
4.0ms
(*.f64 a2 a2)
2.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
46.7%3a2
46.9%3th
44.7%1(*.f64 a1 a1)
44.7%1(*.f64 a2 a2)
44.7%1a1
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

3 calls:

3.0ms
a1
2.0ms
(*.f64 a2 a2)
2.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
44.0%1(*.f64 a2 a2)
44.0%1a1
44.0%1(*.f64 a1 a1)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes20.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

5 calls:

7.0ms
th
6.0ms
a2
3.0ms
a1
2.0ms
(*.f64 a2 a2)
2.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
45.5%3a2
45.7%3th
43.5%1(*.f64 a2 a2)
43.5%1a1
43.5%1(*.f64 a1 a1)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

3 calls:

3.0ms
a1
2.0ms
(*.f64 a2 a2)
1.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
43.2%1(*.f64 a2 a2)
43.2%1a1
43.2%1(*.f64 a1 a1)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes10.0ms (0.1%)

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

5 calls:

3.0ms
th
2.0ms
a1
2.0ms
a2
2.0ms
(*.f64 a2 a2)
1.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
18.8%1a2
18.8%1th
18.8%1a1
18.8%1(*.f64 a1 a1)
18.8%1(*.f64 a2 a2)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
a2
1.0ms
th
1.0ms
a1
1.0ms
(*.f64 a2 a2)
1.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
18.5%1a2
18.5%1(*.f64 a2 a2)
18.5%1a1
18.5%1(*.f64 a1 a1)
18.5%1th
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.688364321873346
0.719803895215709
Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×*-commutative
6×+-commutative
5×sub-neg
5×neg-sub0
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048489
164489
270489
383489
492489
598489
6100489
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1/16 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 152 to 99 computations (34.9% saved)

soundness783.0ms (9.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
048606
1145562
2421562
31139562
42837562
55637562
66570562
77382562
87458562
97474562
039310613
19479988
235379563
038375
1627375
022170
1301150
23735150
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 468 to 208 computations (55.6% saved)

end0.0ms (0%)

preprocess221.0ms (2.6%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 1784 to 1080 computations (39.5% saved)

Profiling

Loading profile data...