Migdal et al, Equation (64)

Time bar (total: 9.1s)

analyze0.0ms (0%)

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

Compiled 23 to 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

sample2.0s (21.5%)

Results
928.0ms4537×256valid
894.0ms3718×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-cos, time spent: 407.0ms, 38.0% of total-time
Operation ival-mult, time spent: 243.0ms, 23.0% of total-time
Operation ival-sqrt, time spent: 202.0ms, 19.0% of total-time
Operation ival-div, time spent: 142.0ms, 13.0% of total-time
Operation ival-add, time spent: 48.0ms, 5.0% of total-time
Operation const, time spent: 21.0ms, 2.0% of total-time
Bogosity

preprocess372.0ms (4.1%)

Algorithm
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
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: 87.0ms
Operation ival-sqrt, time spent: 25.0ms, 29.0% of total-time
Operation ival-mult, time spent: 24.0ms, 27.0% of total-time
Operation ival-div, time spent: 19.0ms, 22.0% of total-time
Operation ival-cos, time spent: 14.0ms, 16.0% 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)

prune4.0ms (0%)

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

Compiled 31 to 21 computations (32.3% saved)

localize109.0ms (1.2%)

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))))
99.7%
(/.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: 45.0ms
Operation ival-sqrt, time spent: 11.0ms, 24.0% of total-time
Operation ival-mult, time spent: 9.0ms, 20.0% of total-time
Operation composed, time spent: 7.0ms, 15.0% of total-time
Operation ival-div, time spent: 7.0ms, 15.0% of total-time
Operation ival-cos, time spent: 7.0ms, 15.0% of total-time
Operation ival-add, time spent: 3.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

series23.0ms (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
4.0ms
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)))

rewrite263.0ms (2.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
022170
1301150
23735150
Stop Event
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)))

simplify212.0ms (2.3%)

Algorithm
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
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 (*.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)))

eval100.0ms (1.1%)

Compiler

Compiled 4821 to 3107 computations (35.6% saved)

prune56.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New23210242
Fresh000
Picked112
Done000
Total23311244
Accuracy
100.0%
Counts
244 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
69.4%
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
98.5%
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
98.6%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.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)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
69.3%
(*.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)))
99.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
75.1%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
Compiler

Compiled 338 to 259 computations (23.4% saved)

localize476.0ms (5.2%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
99.9%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
75.1%
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
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)))
99.0%
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
99.0%
(/.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)))
100.0%
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
99.7%
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
99.7%
(*.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)))
100.0%
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
99.8%
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
99.7%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
Compiler

Compiled 190 to 92 computations (51.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
Operation ival-pow, time spent: 61.0ms, 34.0% of total-time
Operation ival-mult, time spent: 31.0ms, 17.0% of total-time
Operation ival-div, time spent: 24.0ms, 13.0% of total-time
Operation ival-sqrt, time spent: 23.0ms, 13.0% of total-time
Operation composed, time spent: 22.0ms, 12.0% of total-time
Operation ival-cos, time spent: 9.0ms, 5.0% of total-time
Operation const, time spent: 6.0ms, 3.0% of total-time
Operation ival-add, time spent: 4.0ms, 2.0% of total-time

series129.0ms (1.4%)

Counts
13 → 280
Calls
Call 1
Inputs
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (pow.f64 (hypot.f64 a2 a1) #s(literal 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 (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))>
#<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 (cos.f64 th) (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)))>
#<alt (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))>
#<alt (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))>
Outputs
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (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)))>
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#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 4 binary64)))>
#<alt (pow.f64 a1 #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))>
#<alt (pow.f64 a1 #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))>
#<alt (pow.f64 a1 #s(literal 4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a1 #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a1 #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a1 #s(literal 4 binary64)))>
#<alt (pow.f64 a2 #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))>
#<alt (pow.f64 a2 #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))>
Calls

72 calls:

TimeVariablePointExpression
42.0ms
th
@inf
(* (/ (/ (cos th) (pow 2 1/4)) (pow 2 1/4)) (+ (* a1 a1) (* a2 a2)))
30.0ms
th
@inf
(/ (/ (cos th) (pow 2 1/4)) (pow 2 1/4))
19.0ms
th
@inf
(/ (cos th) (pow 2 1/4))
3.0ms
a1
@inf
(pow (sqrt (+ (* a2 a2) (* a1 a1))) 2)
2.0ms
a1
@0
(* (/ (/ (cos th) (pow 2 1/4)) (pow 2 1/4)) (+ (* a1 a1) (* a2 a2)))

rewrite267.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
600×log1p-expm1-u
225×expm1-log1p-u
220×add-exp-log
219×add-cube-cbrt
218×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036351
1601331
27484331
Stop Event
node limit
Counts
13 → 669
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(pow.f64 (hypot.f64 a2 a1) #s(literal 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 (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))
(/.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 (cos.f64 th) (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)))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (cos.f64 th)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (/.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (/.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64))))
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(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 3 binary64)) (hypot.f64 a2 a1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 a2 a1)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 a2 a1)) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (-.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))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (-.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 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.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))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #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))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a2 a1))))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a2 a1))) #s(literal 1 binary64)))

simplify402.0ms (4.4%)

Algorithm
egg-herbie
Rules
537×times-frac
451×fma-define
379×associate-*r/
315×*-commutative
312×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109847754
1284843222
Stop Event
node limit
Counts
949 → 751
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.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)))
(pow.f64 a1 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a1 #s(literal 2 binary64))
(*.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)))))
(*.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)))))
(*.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)))))
(pow.f64 a1 #s(literal 2 binary64))
(*.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)))))
(*.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)))))
(*.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)))))
(/.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))))))
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(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.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 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.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 (*.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 (*.f64 (*.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 (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)))) (*.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 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (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 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 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 1/2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 6 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 6 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #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 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (hypot.f64 a2 a1) (pow.f64 (hypot.f64 a2 a1) #s(literal 3 binary64)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 3 binary64)) (hypot.f64 a2 a1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 a2 a1)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 a2 a1)) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 (-.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))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (-.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 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.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))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #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))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a2 a1))))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a2 a1))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (neg.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/24 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (neg.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 th #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/24 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.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))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (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 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 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 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (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 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 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 (hypot.f64 a2 a1) #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 (pow.f64 (hypot.f64 a2 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)))))
(*.f64 (pow.f64 (hypot.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 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 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 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (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 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a2 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)))))
(*.f64 (pow.f64 (hypot.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)))))
(sqrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(*.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 4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))))
(*.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 4 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.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 4 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(*.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 4 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a2 a1))))
(*.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 4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a2 a1))) #s(literal 1 binary64)))
(*.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 4 binary64))

eval387.0ms (4.2%)

Compiler

Compiled 18306 to 12301 computations (32.8% saved)

prune171.0ms (1.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New91211923
Fresh415
Picked415
Done011
Total92014934
Accuracy
100.0%
Counts
934 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.3%
(pow.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
98.5%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
68.8%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
14.7%
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
98.5%
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
99.7%
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
14.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
69.3%
(*.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)))
69.4%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
74.5%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))))
56.6%
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
Compiler

Compiled 329 to 258 computations (21.6% saved)

localize249.0ms (2.7%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))))
75.1%
(sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
99.7%
(/.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 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.8%
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
99.7%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
99.5%
(/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
Compiler

Compiled 151 to 69 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
Operation ival-sqrt, time spent: 31.0ms, 27.0% of total-time
Operation ival-pow, time spent: 22.0ms, 19.0% of total-time
Operation ival-mult, time spent: 21.0ms, 18.0% of total-time
Operation ival-div, time spent: 18.0ms, 16.0% of total-time
Operation composed, time spent: 10.0ms, 9.0% of total-time
Operation ival-cos, time spent: 8.0ms, 7.0% of total-time
Operation const, time spent: 4.0ms, 3.0% of total-time
Operation ival-add, time spent: 3.0ms, 3.0% of total-time

series26.0ms (0.3%)

Counts
8 → 180
Calls
Call 1
Inputs
#<alt (/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))>
#<alt (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))))>
Outputs
#<alt (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 a1 (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))>
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#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.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)) (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)) (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)) (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)) (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)) (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)) (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 (*.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))))>
Calls

48 calls:

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

rewrite205.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
950×log1p-expm1-u
226×associate-*r*
216×expm1-log1p-u
212×add-cube-cbrt
211×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032255
1496240
26792240
Stop Event
node limit
Counts
8 → 284
Calls
Call 1
Inputs
(/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 a2 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (sqrt.f64 (hypot.f64 a2 a1)) (*.f64 (sqrt.f64 (hypot.f64 a2 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (neg.f64 (hypot.f64 a2 a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (hypot.f64 a2 a1))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (hypot.f64 a2 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
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(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 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)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 a2))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)) (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 th) (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)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 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 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (cos.f64 th))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (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 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 a2))))

simplify258.0ms (2.8%)

Algorithm
egg-herbie
Rules
700×associate-*r*
602×associate-*l*
462×fma-define
422×*-commutative
243×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074922566
1199520325
Stop Event
node limit
Counts
464 → 462
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.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 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #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))))))
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(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (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)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 a2 #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 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 8 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 8 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 a2 #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (cbrt.f64 #s(literal 2 binary64))) (/.f64 a2 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(*.f64 (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 a2 #s(literal 4 binary64)))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 a2 #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 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)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 a2))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)) (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 th) (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)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 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 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (cos.f64 th))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (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 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 a2))))
Outputs
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 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 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64)))))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 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 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (sqrt.f64 (neg.f64 (pow.f64 a2 #s(literal 4 binary64)))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 a2 #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (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 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(pow.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.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)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fabs.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fabs.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (*.f64 (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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (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)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (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)))
(exp.f64 (log.f64 (*.f64 (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)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 a2))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)) (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (cos.f64 th))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (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 (cos.f64 th) (*.f64 (pow.f64 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)) (*.f64 (cos.f64 th) (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 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (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 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (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 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)) (log.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 a2))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

eval360.0ms (3.9%)

Compiler

Compiled 14006 to 9345 computations (33.3% saved)

prune126.0ms (1.4%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New7144718
Fresh257
Picked145
Done022
Total71715732
Accuracy
100.0%
Counts
732 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
68.8%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
14.7%
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
98.5%
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
98.5%
(*.f64 (hypot.f64 a2 a1) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
14.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
69.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
68.7%
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
99.6%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
68.8%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
69.4%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
74.5%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))))
68.7%
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 293 to 234 computations (20.1% saved)

localize283.0ms (3.1%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
99.7%
(*.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 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
99.6%
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
99.7%
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
99.8%
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
99.3%
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
99.9%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
99.7%
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
99.6%
(/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
Compiler

Compiled 122 to 83 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
Operation ival-pow, time spent: 92.0ms, 55.0% of total-time
Operation ival-mult, time spent: 21.0ms, 13.0% of total-time
Operation ival-div, time spent: 14.0ms, 8.0% of total-time
Operation ival-sqrt, time spent: 14.0ms, 8.0% of total-time
Operation composed, time spent: 9.0ms, 5.0% of total-time
Operation ival-cos, time spent: 9.0ms, 5.0% of total-time
Operation const, time spent: 6.0ms, 4.0% of total-time
Operation ival-add, time spent: 1.0ms, 1.0% of total-time

series49.0ms (0.5%)

Counts
10 → 116
Calls
Call 1
Inputs
#<alt (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))>
#<alt (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))>
#<alt (*.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)))>
#<alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 a2 (/.f64 a2 (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 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))>
#<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)) (cos.f64 th))>
Outputs
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a1))))))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a1))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64))))))))))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))>
#<alt (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))>
#<alt (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a2))))))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a2))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 5 binary64))))))))))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 a1 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))>
#<alt (*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))>
#<alt (*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a1 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 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)))))>
#<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 (*.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 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<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 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 (*.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 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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 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

48 calls:

TimeVariablePointExpression
16.0ms
a2
@0
(* (pow 1/2 1/4) a2)
5.0ms
a2
@0
(* (pow 1/4 1/4) (* (pow a2 2) (cos th)))
2.0ms
a2
@inf
(* (pow 1/2 1/4) a2)
2.0ms
th
@0
(* (cos th) (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (pow 2 1/4)) 2))
1.0ms
a1
@inf
(/ (sqrt (+ (* a2 a2) (* a1 a1))) (pow 2 1/4))

rewrite195.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1057×log1p-expm1-u
276×prod-diff
211×expm1-log1p-u
208×pow1
208×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031250
1470246
25918246
Stop Event
node limit
Counts
10 → 249
Calls
Call 1
Inputs
(/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(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) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(*.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 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 a2 a1)) (*.f64 (sqrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (hypot.f64 a2 a1)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (hypot.f64 a2 a1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (/.f64 (cbrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (hypot.f64 a2 a1)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 a2 a1) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
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(*.f64 (/.f64 a1 #s(literal 1 binary64)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (cbrt.f64 #s(literal 2 binary64))) (/.f64 a1 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 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 a1 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 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 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 a2)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fabs.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) a2))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (*.f64 a2 (sqrt.f64 (cos.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 1/2 binary64) #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 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 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)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #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 a2 #s(literal 4 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 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 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (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)))

simplify210.0ms (2.3%)

Algorithm
egg-herbie
Rules
506×associate-*r*
484×associate-*l*
334×distribute-lft-neg-out
331×*-commutative
278×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070613938
1167313162
2582313017
Stop Event
node limit
Counts
365 → 447
Calls
Call 1
Inputs
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1))
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a1))))))
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a1))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64))))))))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a2))))))
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a2))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 5 binary64))))))))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)
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(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 a2 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 a2) #s(literal 1 binary64)) (/.f64 (sqrt.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1 binary64))
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 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 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (*.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 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 -1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (/.f64 a1 #s(literal 1 binary64)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (cbrt.f64 #s(literal 2 binary64))) (/.f64 a1 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 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 a1 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 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 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 a2)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fabs.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) a2))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (*.f64 a2 (sqrt.f64 (cos.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 1/2 binary64) #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 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 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)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #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 a2 #s(literal 4 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 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 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (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 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1 (*.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64))))
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a1))))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) a1)))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64))) #s(literal -1/8 binary64)))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 3 binary64))) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64)) a1)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1))
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a1))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a1)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a2 #s(literal 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 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) a1)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1))
(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 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64)) a1)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 a2 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 a2 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 a2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 a2 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 a2 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))
(*.f64 a2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 a2 #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))
(*.f64 a2 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 a2 #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))
(*.f64 a2 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(neg.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 a2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 a2 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 a2 (neg.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))
(*.f64 (neg.f64 a2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) (neg.f64 a2))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) (neg.f64 a2))
(*.f64 #s(literal -1 binary64) (*.f64 a2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))))
(*.f64 (neg.f64 a2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 a2 #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))
(*.f64 a2 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 a2 #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))))
(*.f64 a2 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2 (*.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2) (pow.f64 #s(literal 1/2 binary64) #s(literal 5/4 binary64))))
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a2))))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) a2)))))
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eval199.0ms (2.2%)

Compiler

Compiled 8375 to 6311 computations (24.6% saved)

prune101.0ms (1.1%)

Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New4607467
Fresh044
Picked145
Done156
Total46220482
Accuracy
100.0%
Counts
482 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(pow.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
68.7%
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
98.5%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
14.7%
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
68.8%
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
68.8%
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
98.5%
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
98.5%
(*.f64 (hypot.f64 a2 a1) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
14.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
69.3%
(*.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)))
68.8%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
69.4%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
74.5%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))))
68.7%
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
68.7%
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
14.7%
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
20.1%
(sqrt.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 598 to 400 computations (33.1% saved)

regimes76.0ms (0.8%)

Counts
35 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.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)))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(*.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)))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #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) (sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #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 (sqrt.f64 #s(literal 2 binary64)) (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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (hypot.f64 a2 a1) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.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 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.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 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

11.0ms
th
11.0ms
(*.f64 a1 a1)
10.0ms
a2
10.0ms
a1
9.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.7%1a1
99.7%1a2
99.7%1th
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(cos.f64 th)
99.7%1(*.f64 a1 a1)
99.7%1(*.f64 a2 a2)
Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes51.0ms (0.6%)

Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.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)))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
(*.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)))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #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) (sqrt.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #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 (sqrt.f64 #s(literal 2 binary64)) (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 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (hypot.f64 a2 a1) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

8.0ms
(cos.f64 th)
8.0ms
a2
8.0ms
a1
8.0ms
th
7.0ms
(/.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)

regimes22.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.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)))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

5 calls:

5.0ms
a2
5.0ms
a1
5.0ms
th
3.0ms
(*.f64 a2 a2)
3.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
69.4%1a1
69.4%1a2
69.4%1th
69.4%1(*.f64 a1 a1)
69.4%1(*.f64 a2 a2)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
Calls

3 calls:

4.0ms
a1
2.0ms
th
2.0ms
a2
Results
AccuracySegmentsBranch
68.8%1a1
68.8%1a2
68.8%1th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

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

3 calls:

1.0ms
a1
1.0ms
th
1.0ms
a2
Results
AccuracySegmentsBranch
68.7%1a1
68.7%1a2
68.7%1th
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
Calls

3 calls:

2.0ms
a2
1.0ms
a1
1.0ms
th
Results
AccuracySegmentsBranch
14.7%1a1
14.7%1a2
14.7%1th
Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031214
140214
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (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)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.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)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(*.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 71 to 51 computations (28.2% saved)

soundness1.6s (17.6%)

Rules
1241×fma-define
1057×log1p-expm1-u
950×log1p-expm1-u
937×prod-diff
808×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048606
1145562
2421562
31139562
42837562
55637562
66570562
77382562
87458562
97474562
0109847754
1284843222
036351
1601331
27484331
043717242
1107615932
2396515894
022170
1301150
23735150
032255
1496240
26792240
031250
1470246
25918246
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 915 to 521 computations (43.1% saved)

end0.0ms (0%)

preprocess151.0ms (1.7%)

Remove

(abs th)

(abs a2)

Compiler

Compiled 1416 to 932 computations (34.2% saved)

Profiling

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